tag:blogger.com,1999:blog-29846508956455922062024-03-29T04:28:07.534+01:00astroalessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.comBlogger111125tag:blogger.com,1999:blog-2984650895645592206.post-46492620682601658562024-03-21T19:01:00.017+01:002024-03-22T09:43:46.533+01:002021 KT21 and 2004 GZ13<p>Backward simulation performed with Mercury6 ``A Hybrid Symplectic Integrator that Permits Close Encounters between Massive Bodies''. Monthly Notices of the Royal Astronomical Society, vol 304, pp793-799. </p><p>Simulation based on nominal orbital paramters (21st March 2024)</p><p><b>Simulation parameters</b></p><p>)O+_06 Integration parameters (WARNING: Do not delete this line!!)</p><p>) Lines beginning with `)' are ignored.</p><p>)---------------------------------------------------------------------</p><p>) Important integration parameters:</p><p>)---------------------------------------------------------------------</p><p> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS</p><p> start time (days)= 2460309.50000 </p><p> stop time (days) = -1e8</p><p> output interval (days) = 100</p><p> timestep (days) = 0.05</p><p> accuracy parameter=1.d-12</p><div><br /></div><div><b>Simulation Result</b></div><div><b><br /></b></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg1BZaSwSMlKwzv6UAv2z_ModFztxMNCYQEF2ZTThv9llfrwEcflMJqtfkOevpiTAOp9EkEYVw8ln3zOvn4k-wICGQSbNpaM-fq7ydXI28ksevWzelo31SCMgd3HGTp-LdyLWuJwNlzX45IVvWcUwvKdmNM1u1bQzCy1u_UCVVOmJvjJ3g2uMm7SD4a8mk" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="703" height="444" src="https://blogger.googleusercontent.com/img/a/AVvXsEg1BZaSwSMlKwzv6UAv2z_ModFztxMNCYQEF2ZTThv9llfrwEcflMJqtfkOevpiTAOp9EkEYVw8ln3zOvn4k-wICGQSbNpaM-fq7ydXI28ksevWzelo31SCMgd3HGTp-LdyLWuJwNlzX45IVvWcUwvKdmNM1u1bQzCy1u_UCVVOmJvjJ3g2uMm7SD4a8mk=w640-h444" width="640" /></a></div><br />Following a <a href="https://groups.io/g/mpml/message/39407" target="_blank">comment</a> from Adrien Coffinet, here is a forward simulation to show that as correctly guessed, the two asteroids might be again in a similar orbital configuration about 20K years from now:</div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh-BVpJMaMy9WVp_IFjbSn74TfozceQePAL46gNbHc-cD0YP5evVI24WwU3-MJSVOVsY1jh5moxbwYboIGf0TsQulVeKvoFj_7g2r4E8d4ikl2MPwToe2IOPfDq1Z_4D-VTKLB1UeaERf6CeCE7nSoZwsI-I45Yvxy0T-JgNlQ_OoB1Q1DVuMYaPsB6Gac" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="703" height="444" src="https://blogger.googleusercontent.com/img/a/AVvXsEh-BVpJMaMy9WVp_IFjbSn74TfozceQePAL46gNbHc-cD0YP5evVI24WwU3-MJSVOVsY1jh5moxbwYboIGf0TsQulVeKvoFj_7g2r4E8d4ikl2MPwToe2IOPfDq1Z_4D-VTKLB1UeaERf6CeCE7nSoZwsI-I45Yvxy0T-JgNlQ_OoB1Q1DVuMYaPsB6Gac=w640-h444" width="640" /></a></div><br /><br /></div>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-6129841098523375852024-02-05T15:21:00.005+01:002024-02-05T15:21:58.525+01:002023 SP50 and 152737 (1998 WF28)<p> <b style="color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;">Backward simulation</b></p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;">Mercury6 package by J.E.Chambers (1999) ``A Hybrid Symplectic Integrator that Permits Close Encounters between Massive Bodies''. Monthly Notices of the Royal Astronomical Society, vol 304, pp793-799. </p><div style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"><span style="font-size: 15.4px;">)---------------------------------------------------------------------</span></div><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;">) Important integration parameters:</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;">)---------------------------------------------------------------------</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"> start time (days)= 2460106.5</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;">) stop time (days) = 102458000.5</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"> stop time (days) = -1e8</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"> output interval (days) = 100</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"> timestep (days) = 0.05</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"> accuracy parameter=1.d-12</p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"><br /></p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"><b>Result</b></p><p style="background-color: #f5faff; color: #595959; font-family: Georgia, Utopia, "Palatino Linotype", Palatino, serif; font-size: 15.4px;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjqzkUpVqJijXKjROrB-_tIPgp_5HC0uJBvSVeXPM1279LxSnE1Tg25X2fsHpG3fEzBKVLC6ZqWjLwfAYFXtgkuPiUxxExs0L4UUVadtXRAZNtyyF5T-JEhYJqqsHvj8G_qc1MPWOTOH0c9LJdezYgRW6X4JXNsi6phhkXM6lOpFSSzAXofTO4RE28Uq9c" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="706" height="442" src="https://blogger.googleusercontent.com/img/a/AVvXsEjqzkUpVqJijXKjROrB-_tIPgp_5HC0uJBvSVeXPM1279LxSnE1Tg25X2fsHpG3fEzBKVLC6ZqWjLwfAYFXtgkuPiUxxExs0L4UUVadtXRAZNtyyF5T-JEhYJqqsHvj8G_qc1MPWOTOH0c9LJdezYgRW6X4JXNsi6phhkXM6lOpFSSzAXofTO4RE28Uq9c=w640-h442" width="640" /></a></div><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-58886987981001078582024-02-03T19:28:00.002+01:002024-02-03T19:29:09.204+01:002022 QZ273 and 2002 RZ12<p><b>Backward simulation</b></p><p>Mercury6 package by J.E.Chambers (1999) ``A Hybrid Symplectic Integrator that Permits Close Encounters between Massive Bodies''. Monthly Notices of the Royal Astronomical Society, vol 304, pp793-799. </p><div><br /></div><p>)---------------------------------------------------------------------</p><p>) Important integration parameters:</p><p>)---------------------------------------------------------------------</p><p> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS</p><p> start time (days)= 2460106.5</p><p>) stop time (days) = 102458000.5</p><p> stop time (days) = -1e8</p><p> output interval (days) = 1</p><p> timestep (days) = 0.05</p><p> accuracy parameter=1.d-12</p><div><b><br /></b></div><div><b>Result</b></div><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhWIOpRDej6uFPC-v3GkApaq15Ciwxa-lxW65eRFe-t4_76_DuKZBhYGZWJ2W4-fO8V0sfVL4wQAet0IkKygckIKbn7BkeN4XJKyPf7-bqEFSPZOI_cJv3yUQVe_SziiS8FukY9TfsmWYIhJdYdcKRllbYAhhtUDztmzUAGHKJaIB6iy-O8eh5j0buwmDE" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="706" height="442" src="https://blogger.googleusercontent.com/img/a/AVvXsEhWIOpRDej6uFPC-v3GkApaq15Ciwxa-lxW65eRFe-t4_76_DuKZBhYGZWJ2W4-fO8V0sfVL4wQAet0IkKygckIKbn7BkeN4XJKyPf7-bqEFSPZOI_cJv3yUQVe_SziiS8FukY9TfsmWYIhJdYdcKRllbYAhhtUDztmzUAGHKJaIB6iy-O8eh5j0buwmDE=w640-h442" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-55966359352582809342024-01-15T11:28:00.003+01:002024-01-15T11:28:14.687+01:002015 TB430 and 1997 YF7<p> Interesting couple.</p><p><br /></p><p><b>Simulation based on nominal orbital parameters </b></p><p>Mercury6 software</p><p>)---------------------------------------------------------------------</p><p>) Important integration parameters:</p><p>)---------------------------------------------------------------------</p><p> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS</p><p> start time (days)= 2460106.5</p><p>) stop time (days) = 102458000.5</p><p> stop time (days) = -1e8</p><p> output interval (days) = 100</p><p> timestep (days) = 0.05</p><p> accuracy parameter=1.d-12</p><div><br /></div><p><b>Simulation result</b></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjtSZ2hOJ4LI8WtxXxzwdSXptziOwd0bqrt-mbC0HpCuGPUuwNhzFqG43wtgGXlMnbwb-ebMiZAdV03kE9dW8RXL3lmtxmmPCKVReM7ZEO8eEm_r3sTDqNbAE6N2tCq2L9NB-_U09QJ7V0iPe3IWlxmvSZSec8btR5UiwvnCuDl2A6Rznq-AkHDWcqtCIk" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="706" height="442" src="https://blogger.googleusercontent.com/img/a/AVvXsEjtSZ2hOJ4LI8WtxXxzwdSXptziOwd0bqrt-mbC0HpCuGPUuwNhzFqG43wtgGXlMnbwb-ebMiZAdV03kE9dW8RXL3lmtxmmPCKVReM7ZEO8eEm_r3sTDqNbAE6N2tCq2L9NB-_U09QJ7V0iPe3IWlxmvSZSec8btR5UiwvnCuDl2A6Rznq-AkHDWcqtCIk=w640-h442" width="640" /></a></div><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-19387332336735851962023-12-28T12:04:00.005+01:002024-02-03T19:29:24.280+01:002023 SV69 and 2001 US116<p> Backward integration based on nominal orbit performed with Mercury6 software</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhr_CGQTcH6uc43KNUFaoqzdWNuWZS8GmSPXX1fVucrS3kXzXqfzBeOmAqawGcuxcUE0eLtktz1rQhHCuWq2BEOooOsZZf4XJaeRPxO5pKw_jPc-eKIBJHbUlmJBo55n0jQo5j8lseNn9WbH0c21wEatBlj_zPZZ2QLdjjsPqo6rsrhAKrJcCeDp_tcr4I" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="696" height="448" src="https://blogger.googleusercontent.com/img/a/AVvXsEhr_CGQTcH6uc43KNUFaoqzdWNuWZS8GmSPXX1fVucrS3kXzXqfzBeOmAqawGcuxcUE0eLtktz1rQhHCuWq2BEOooOsZZf4XJaeRPxO5pKw_jPc-eKIBJHbUlmJBo55n0jQo5j8lseNn9WbH0c21wEatBlj_zPZZ2QLdjjsPqo6rsrhAKrJcCeDp_tcr4I=w640-h448" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-25638960048113916512023-11-06T22:15:00.000+01:002023-11-06T22:15:34.500+01:00358P/PANSTARRS and 292547 (2006 TE55) and 300233 (2006 YX8)<div style="text-align: left;"><br /></div><div style="text-align: left;"><pre aria-label="Console Output" class="GNVWDDMDL3B" id="rstudio_console_output" role="document" style="background-color: #002240; border-radius: 4px; border: none; box-sizing: border-box; color: white; font-family: "DejaVu Sans Mono", monospace; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; overflow-wrap: break-word; overflow: auto; padding: 9.5px; text-wrap: wrap !important; user-select: text; word-break: break-all;" tabindex="0"><span class="GNVWDDMDM3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1"><span style="font-size: x-small;"> a e i om w q
358P/PANSTARRS 3.146644 0.2388745 11.06014 85.70234 299.7696 2.394991
292547 (2006 TE55) 3.140893 0.2428301 11.11777 88.23864 298.1447 2.378189
300233 (2006 YX8) 3.138883 0.2418392 11.21893 87.87625 301.6746 2.379778</span></span></pre><br style="box-sizing: border-box; color: #333333; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px;" /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><span style="font-size: large;"><u>Backward simulation done with Mercury 6 </u></span></div><div style="text-align: left;"><div><span style="font-size: medium;"><br /></span></div><div><span style="font-size: medium;">)---------------------------------------------------------------------</span></div><div><span style="font-size: medium;">) Important integration parameters:</span></div><div><span style="font-size: medium;">)---------------------------------------------------------------------</span></div><div><span style="font-size: medium;"> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS</span></div><div><span style="font-size: medium;"> start time (days)= 2460106.5</span></div><div><span style="font-size: medium;"> stop time (days) = -1e8</span></div><div><span style="font-size: medium;"> output interval (days) = 100</span></div><div><span style="font-size: medium;"> timestep (days) = 0.05</span></div><div><span style="font-size: medium;"> accuracy parameter=1.d-12</span></div><div style="font-size: x-large;"><br /></div></div><div style="text-align: left;"><span style="background-color: white; font-size: large;"><u>Plots</u></span></div><div style="text-align: left;"><span style="font-size: large;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1dTXrnJULNTzRzsECV2mSDpEB86a5WreXv5YslTyxYRJsHeUKwo9BCfhuAfIa8GrbHoAwZAc8b4-o0E7-a8PBEwh1cB8Vl3Wy7tnYZpJVdKvIekB70-kBYbOVJvQ6b55y8JENxYxmrmWKWwKNR9pjOhEm1Gdi406zGq_vZg9PXFOpwSkzr52bIEWnXx8/s2168/81-a.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1dTXrnJULNTzRzsECV2mSDpEB86a5WreXv5YslTyxYRJsHeUKwo9BCfhuAfIa8GrbHoAwZAc8b4-o0E7-a8PBEwh1cB8Vl3Wy7tnYZpJVdKvIekB70-kBYbOVJvQ6b55y8JENxYxmrmWKWwKNR9pjOhEm1Gdi406zGq_vZg9PXFOpwSkzr52bIEWnXx8/w640-h450/81-a.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieqi4N9CRprj_X9c19DVEIsxSOA6-TsapAnsFTGKDWwXOv5b_PfLiTWPl2U5cAHc1CrP4p8hM1WwNcXzAwW_AQNZd4GXpnGJF9x_1GhTDQ_2Lfmn6x50yP4QGyy18F84bxpCsbpJLX_zGTpW7YK2zfp6j9RPCtITRTKlq_2eziJSNcDX3Xvnt40aJDZqw/s2168/72-e.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEieqi4N9CRprj_X9c19DVEIsxSOA6-TsapAnsFTGKDWwXOv5b_PfLiTWPl2U5cAHc1CrP4p8hM1WwNcXzAwW_AQNZd4GXpnGJF9x_1GhTDQ_2Lfmn6x50yP4QGyy18F84bxpCsbpJLX_zGTpW7YK2zfp6j9RPCtITRTKlq_2eziJSNcDX3Xvnt40aJDZqw/w640-h450/72-e.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9SFx11IxqgLxPR2ge1oDotkp61dYQBmTGG4tob4feoBVn-kZnVE77-FKnAflsAHnVokklthXQbByb51QEnza9ChCaTNbi7-JZx9Xn4pqzOg8vYewk9n0IaSr-h8weqQXjEC1qEZfUKri89EKmlM5lSS7Ln6Ngmb0-daJtLpdU1TtwAtuwf0hhvDRdylg/s2168/63-q.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9SFx11IxqgLxPR2ge1oDotkp61dYQBmTGG4tob4feoBVn-kZnVE77-FKnAflsAHnVokklthXQbByb51QEnza9ChCaTNbi7-JZx9Xn4pqzOg8vYewk9n0IaSr-h8weqQXjEC1qEZfUKri89EKmlM5lSS7Ln6Ngmb0-daJtLpdU1TtwAtuwf0hhvDRdylg/w640-h450/63-q.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; 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margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjlZ4T_UWVglUqavc2HkI3m3g2Zqo3NrubvXew8_SqHfZDtyPEoSEpJcgfUuEKhAlWyI7g7cRfHSMGXtu8nsbf9WbP5gd1pVCivos6Snz-O07CjjlTU7p5R82uKyBS7RuOlMud-rPadKUo34T8aBTAGA4niHD1a40gHuzOFzQeG9au3ywMiDg5ig3wljM/w640-h450/45-i.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir0js1x-RGEjhICm2WuMHI9pEoH686hyzvWO8DHOH1OGRdXwAiYgIk1qcs05BocXiHKBOHokvTTkkZUVOmM4p_8ZIAXoMajLkIiPUUrdGsO00eIqB3589wWgbr71wAVAM5VZ-01q3zI2rzcdeKP3pgHyg_qZ4Wj5CrC_36_Do3bnsX5nVoqn2rpOc26aQ/s2168/36-peri.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir0js1x-RGEjhICm2WuMHI9pEoH686hyzvWO8DHOH1OGRdXwAiYgIk1qcs05BocXiHKBOHokvTTkkZUVOmM4p_8ZIAXoMajLkIiPUUrdGsO00eIqB3589wWgbr71wAVAM5VZ-01q3zI2rzcdeKP3pgHyg_qZ4Wj5CrC_36_Do3bnsX5nVoqn2rpOc26aQ/w640-h450/36-peri.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; 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margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDWbA_JU2In85UhOjDDeyhxhEGIeyOvC0uhh8f2Wd6dxzJVrONw-DlleFk-t3tzeZEcc-0qvq2H5Vf2jctz1R1yIKN-zcW3ffU4kQjpJ1W1jisKldZXdfm7ay0ROgF5fsozarJk0vp9EU6NcntkcPwL1cSA4S-dkkW-hz5G_vpA4BDO_0RgbtoQFDS0Hg/w640-h450/18-long.jpeg" width="640" /></a></div><br /><div style="text-align: left;"><br /></div><div style="text-align: left;"><span style="font-size: large;"><br /></span></div><div style="text-align: left;"><span style="font-size: large;"><br /></span></div>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-7520202778229920112023-10-27T18:48:00.002+02:002023-10-27T18:48:56.104+02:00313P/Gibbs and 2016 JM83<p>Backward simulation (up to about 300K years ago)</p><p>313P/Gibbs and 2016 JM83 have a very similar orbit, they never came very near each other, the two orbits are stable:</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNOLlafYudkgTkq5Wq-aSlFdVw4xOO8bH9VgJ0yoVVuLzmYv7brVuqij6mhlx_g75tKUjpqc9SJgTuuYnI1sdSn16nadHmyDOnyg9NWejo_Fbz7jaRCF-AGWNw3ZabazZZJDSjUcIRoRr2g4CCaED37wm-ysxAwvrW3rNG0_-H2iB1N2ldzdukb_hlBJQ/s2168/18-long.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNOLlafYudkgTkq5Wq-aSlFdVw4xOO8bH9VgJ0yoVVuLzmYv7brVuqij6mhlx_g75tKUjpqc9SJgTuuYnI1sdSn16nadHmyDOnyg9NWejo_Fbz7jaRCF-AGWNw3ZabazZZJDSjUcIRoRr2g4CCaED37wm-ysxAwvrW3rNG0_-H2iB1N2ldzdukb_hlBJQ/w640-h450/18-long.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhW34RFTjJL0yZ9abM10-LY6_7cIDnVsfZTeHsIAzDRHRKQbF3WEIC8cIwEjruNCsubdIUg9Y3S8mdqz_rntUputZnrZ_zT_NH0EOiUK39rZuW2KN613JnrDOehD74NsYdHMgIKPkMNe8XK4l1_hkFQRPS_ynXa1UZkIJXTr8O6Q9mIVmR0RkrSGv_C2r4/s2168/27-node.jpeg" imageanchor="1" style="margin-left: 1em; 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margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfc4SuWiOlNWzPJqtwBmSFs2jPAl-hk0G6GTG8snCzJFhCoyXeUTtw5h52NiJ4SfNZ-f0u2tIrkXVFgZmW5KuEJy8oADrHpRB77sdBc2_SmvE1gBIhfKIdpus6-gDcf5epOn0ylZ8lSHVirTiQL6WtBrcKMWISeLPx1cs_2GK34IptfhsZApQNb4_tBI0/w640-h450/54-Q.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_5kxkKXvWrniRxv88CDi-T2MvLd7muHFf4e2kzm1iwQUk0qNBULsEOhcbaGppbqqAcyOmJfzy78MlqAZHhfxJpIPSc0KlWf4RMDsBgVWM2m61iGX2mdopXusR2IjXJj9ypEJpZUYi6gq_Z_E2gr9OEmufw3ocm6VpOTsdEjJoWlI20KKiDoQnLwD48JQ/s2168/63-q.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_5kxkKXvWrniRxv88CDi-T2MvLd7muHFf4e2kzm1iwQUk0qNBULsEOhcbaGppbqqAcyOmJfzy78MlqAZHhfxJpIPSc0KlWf4RMDsBgVWM2m61iGX2mdopXusR2IjXJj9ypEJpZUYi6gq_Z_E2gr9OEmufw3ocm6VpOTsdEjJoWlI20KKiDoQnLwD48JQ/w640-h450/63-q.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC1UeIzGYMD90zsVMjypZBlPYX6oCuu4gMSjBDRbayvbC0S_2AaBckN-uZjtXyuWDEbheybdD1O93Swt5eHeR6ppt1_2TTQeP4-0QGckVpk7-C47WeTk4n8dt0HLHPcJhgJ6_MR0kLARW422LDRaNYy5zNDDnlNCbnUQgzTsAAe9bku84XxhjifJwyPPQ/s2168/72-e.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC1UeIzGYMD90zsVMjypZBlPYX6oCuu4gMSjBDRbayvbC0S_2AaBckN-uZjtXyuWDEbheybdD1O93Swt5eHeR6ppt1_2TTQeP4-0QGckVpk7-C47WeTk4n8dt0HLHPcJhgJ6_MR0kLARW422LDRaNYy5zNDDnlNCbnUQgzTsAAe9bku84XxhjifJwyPPQ/w640-h450/72-e.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhk1x87l0srwX-2U5JCTq4FMYSTasBqyftBvNiOcSn2eywX1PkJuNzZZjiDp6F0UoTye19PrcdCJvJdyNXJ7KGKtahdmT4vMuesOE9W9Vgm916aJF7kyV_MMTGOCNlc1whU5rja49SfvBSgBqkX56AfhbRz06OJiJyVib-6nt0VyrGly_jxHJ3sgEmlfhg/s2168/81-a.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1521" data-original-width="2168" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhk1x87l0srwX-2U5JCTq4FMYSTasBqyftBvNiOcSn2eywX1PkJuNzZZjiDp6F0UoTye19PrcdCJvJdyNXJ7KGKtahdmT4vMuesOE9W9Vgm916aJF7kyV_MMTGOCNlc1whU5rja49SfvBSgBqkX56AfhbRz06OJiJyVib-6nt0VyrGly_jxHJ3sgEmlfhg/w640-h450/81-a.jpeg" width="640" /></a></div><br /><p><br /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-74523154861552293342023-09-17T13:22:00.000+02:002023-09-17T13:22:07.343+02:002015 BN494 and 2008 BY42<p> Backward integration with Mercury6 software, integrator Bulirsch-Stoer, output every 100 days</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhAz5biN9ek_XQQcpXk_5mInceWxrvb4nWH9_Dw53HygjrWKE0dwhK7DKzr4Fu9JRScmimwq0M-v5A3-Tcn-FEGgxckc9sSkNywIpenbDKvCUmgo4ZiZZ9j7gVKzLRKJo2o4Xam-nHIJL2k9IgmDZkw1I5hGtFpfddw5c8oS2LKj5FXcDVx2WVG7SjBN9Y" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="696" height="448" src="https://blogger.googleusercontent.com/img/a/AVvXsEhAz5biN9ek_XQQcpXk_5mInceWxrvb4nWH9_Dw53HygjrWKE0dwhK7DKzr4Fu9JRScmimwq0M-v5A3-Tcn-FEGgxckc9sSkNywIpenbDKvCUmgo4ZiZZ9j7gVKzLRKJo2o4Xam-nHIJL2k9IgmDZkw1I5hGtFpfddw5c8oS2LKj5FXcDVx2WVG7SjBN9Y=w640-h448" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-45543679240025852792023-09-08T23:02:00.003+02:002023-09-08T23:05:25.568+02:00(395103) = 2009 RA8 -- Cometary Origin ?<p> Is this a quasi-Hilda object?</p><p><br /></p><p><u>Clone Generation</u></p><p>100 clones were generated in order to have the same orbital paameters and uncertainty as the nominal asteroid</p><table class="gmisc_table" style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0.4); border-collapse: collapse; caret-color: rgb(0, 0, 0); font-family: -webkit-standard; margin-bottom: 1em; margin-top: 1em;"><thead><tr><th style="border-top-color: grey; border-top-style: solid; border-top-width: 2px;"></th><th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; text-align: center;">Clones</th><th colspan="1" style="border-bottom-color: currentcolor; border-bottom-style: none; border-bottom-width: medium; border-top-color: grey; border-top-style: solid; border-top-width: 2px;"> </th><th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; text-align: center;">Target</th></tr><tr><th style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 1px;"></th><th style="border-bottom: 1px solid grey; text-align: center;">mean</th><th style="border-bottom: 1px solid grey; text-align: center;">sd</th><th colspan="1" style="border-bottom: 1px solid grey; text-align: center;"> </th><th style="border-bottom: 1px solid grey; text-align: center;">mean</th><th style="border-bottom: 1px solid grey; text-align: center;">sd</th></tr></thead><tbody><tr><td style="border-right: 1px solid black;">q</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.61245270083945</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.39064109921033e-07</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.61245264912673</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.4136e-07</td></tr><tr><td style="border-right: 1px solid black;">e</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.129667339794439</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">8.11352970562344e-08</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.12966735411561</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">8.0309e-08</td></tr><tr><td style="border-right: 1px solid black;">i</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">8.9645643748396</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">9.73657795759391e-06</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">8.96456457281582</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">9.6087e-06</td></tr><tr><td style="border-right: 1px solid black;">peri</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">344.487704195712</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.69757841212335e-05</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">344.487707120445</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.6654e-05</td></tr><tr><td style="border-right: 1px solid black;">node</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">359.469501444993</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.82226393976073e-05</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">359.469498781976</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.8729e-05</td></tr><tr><td style="border-bottom: 2px solid grey; border-right: 1px solid black;">tp</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2461090.03289397</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.000262107424207425</td><td colspan="1" style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; text-align: right;"> </td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2461090.03290289</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.00026503</td></tr></tbody></table><p><u>Backward Simulation</u></p><p>This was performed using Mercury Integrator Package Version 6 - Bulirsch-Stoer N-body algorithm - 10^8 days in the past - output every 100 days</p><p>66% of the clones entered the solar system from a distance greater than 100 AU (i.e. from the point of view of the backward simulation they were "ejected")</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgzRBe6uekz6D0g2uRjHYCDm9S5e0h-llHm6pj91eow_I75rzUOeMUC4hXLOE6zX7xhF4OOdXOJ7LlK7FOA59QGXeLV6qsX7XPGczh977mtNnTDsQmqBn_9MrvnTzKbEHxnlfazMp1Doinek5O49BxPCBQ6mOWUdEqjJChTsdGSkSiv93bwFwH5T1siFNs" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="676" height="462" src="https://blogger.googleusercontent.com/img/a/AVvXsEgzRBe6uekz6D0g2uRjHYCDm9S5e0h-llHm6pj91eow_I75rzUOeMUC4hXLOE6zX7xhF4OOdXOJ7LlK7FOA59QGXeLV6qsX7XPGczh977mtNnTDsQmqBn_9MrvnTzKbEHxnlfazMp1Doinek5O49BxPCBQ6mOWUdEqjJChTsdGSkSiv93bwFwH5T1siFNs=w640-h462" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-6006332737734430502023-08-14T20:20:00.002+02:002023-08-14T20:20:09.588+02:00Hungaria - 2010 MA151 and 2017 BD92<p> Backward simulation with Mercury6 (integrator BS, output every 100 days)</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiJuX6bQDAQDArJNUj3tklLaumS5VQyZCf_H0FM5BTph6oNx6t4r3HfwKLx_JPxW9ENIl2vHWf7CRghZ-OPnv29HrRU2SJHuu2lc0mJvsLE9_AMsQ7yY5pj5FJFtyVi00i5mwT7D9WnY7vLAtSpXKz4qYDYOnrDnerDIutNy4EBMaOsSOPuHEdyzrVTh1E" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="676" height="462" src="https://blogger.googleusercontent.com/img/a/AVvXsEiJuX6bQDAQDArJNUj3tklLaumS5VQyZCf_H0FM5BTph6oNx6t4r3HfwKLx_JPxW9ENIl2vHWf7CRghZ-OPnv29HrRU2SJHuu2lc0mJvsLE9_AMsQ7yY5pj5FJFtyVi00i5mwT7D9WnY7vLAtSpXKz4qYDYOnrDnerDIutNy4EBMaOsSOPuHEdyzrVTh1E=w640-h462" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-87771458330993025952023-08-01T17:51:00.000+02:002023-08-01T17:57:13.962+02:002005 UW252 and 2008 SO356<p> Backward simulation based on nominal orbital parameters (Mercury6 simulator, BS integrator, output every 100 days):</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh_JjnDFzMwuCWOO7nWClno6S7oHnnABCyiMIbMk4WjZ4lKlzn-6jVx8IT0CDOUSB4OJCvPSoTFXN5kk2A_A7xwhXpMc5mWZSymH4jF47BPg0x6PNir40pCS0XCWFX8MHqYC8Xn2A0ovblscf9z4b6Kc-U9T8kxb5nz94Yagu9NJX0HfW6lmw7tZdxdn5M" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="676" src="https://blogger.googleusercontent.com/img/a/AVvXsEh_JjnDFzMwuCWOO7nWClno6S7oHnnABCyiMIbMk4WjZ4lKlzn-6jVx8IT0CDOUSB4OJCvPSoTFXN5kk2A_A7xwhXpMc5mWZSymH4jF47BPg0x6PNir40pCS0XCWFX8MHqYC8Xn2A0ovblscf9z4b6Kc-U9T8kxb5nz94Yagu9NJX0HfW6lmw7tZdxdn5M=s16000" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-60323575787587284682023-05-26T13:33:00.000+02:002023-08-01T18:07:19.574+02:002015 HB287 and 434936<p>Peter VanWylen noticed that these two asteroids <span style="color: inherit; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-variant-ligatures: inherit; font-weight: inherit;">stay very close to each other in the sky for many decades. He wondered whether they have a common (recent) origin or it is a coincidence.</span></p><p>I run a Mercury6 simulation (output every 1 days) based on nominal parameters, while this is not a proof I think that the idea of a common origin should not be disregarded.</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjy2zWOstVPUCjlkqAzI49XBUqHlBTAe_UBiuq6bvfXeZHYGQBRp8pVwCzzphgonnzZjWXtpTzyYlnvMbf20TcxUkSpofsMeoHojCWWBEpaZv6Zw4r-SmYHsRAk_DBO1Q2sHQ26kP_tNQDJpCynFX02zzEhaC6Um9jwZkJdZyPQz76r65aYAZV5IH2W" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="487" data-original-width="755" height="412" src="https://blogger.googleusercontent.com/img/a/AVvXsEjy2zWOstVPUCjlkqAzI49XBUqHlBTAe_UBiuq6bvfXeZHYGQBRp8pVwCzzphgonnzZjWXtpTzyYlnvMbf20TcxUkSpofsMeoHojCWWBEpaZv6Zw4r-SmYHsRAk_DBO1Q2sHQ26kP_tNQDJpCynFX02zzEhaC6Um9jwZkJdZyPQz76r65aYAZV5IH2W=w640-h412" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-23393646679137861352023-03-19T14:03:00.004+01:002023-08-01T18:07:30.575+02:00405222 (2003 RV20) and 2010 TH35<p> Interesting couple, common origin?</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEics_sReHeB-lswG13T5GPMg_WlKIO-8RJBPK0iPlaaSiE9a4MbuXmg3YHmXFm__r4kjYNG8E4h17CA7sgzkwtIqcL3u24JMb_PVNEiEHGoeHBI45uriKCd-Yy5zFAMGnrE1yLN-QIS2cNZQxlZYk8fOnjbywp2LgJvllJGe5gRo9LL8xwxk6_vG5Pg" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="634" data-original-width="760" src="https://blogger.googleusercontent.com/img/a/AVvXsEics_sReHeB-lswG13T5GPMg_WlKIO-8RJBPK0iPlaaSiE9a4MbuXmg3YHmXFm__r4kjYNG8E4h17CA7sgzkwtIqcL3u24JMb_PVNEiEHGoeHBI45uriKCd-Yy5zFAMGnrE1yLN-QIS2cNZQxlZYk8fOnjbywp2LgJvllJGe5gRo9LL8xwxk6_vG5Pg=s16000" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-72618549350757015702023-02-17T00:11:00.005+01:002023-08-01T18:07:53.397+02:002022 QV223 and 2012 SZ58<p> Potentially interesting couple (common orgin?)</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjEv0C3L50vHJO6OETeXSErZ0tMfmjMT50bCroQFT4tvnBz2NCgC7Q5-tbd7F4FnSQMIqTsyy-GMWoEqrc_GdUUjsJJiBx3NcmE_ckzLXBFe_PhB-0-YDRbFMGyClX6POXP5-kpczS27k6hcl0oNxDv0J-UaAy-LKUP3pkA7LAQmAPxSZwRpEvZM0YS" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="445" data-original-width="760" height="374" src="https://blogger.googleusercontent.com/img/a/AVvXsEjEv0C3L50vHJO6OETeXSErZ0tMfmjMT50bCroQFT4tvnBz2NCgC7Q5-tbd7F4FnSQMIqTsyy-GMWoEqrc_GdUUjsJJiBx3NcmE_ckzLXBFe_PhB-0-YDRbFMGyClX6POXP5-kpczS27k6hcl0oNxDv0J-UaAy-LKUP3pkA7LAQmAPxSZwRpEvZM0YS=w640-h374" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-57475155856765786332023-01-16T17:31:00.037+01:002023-01-17T13:51:56.300+01:00Gaia - SSO Reflectance Spectra<p style="text-align: justify;">Gaia DR3 has a table named SSO Reflectance spectrum containing the reflectance spectra for 60518 asteroids.</p><p style="text-align: justify;">As explained in the <a href="https://gea.esac.esa.int/archive/documentation/GDR3/Gaia_archive/chap_datamodel/sec_dm_solar_system_object_tables/ssec_dm_sso_reflectance_spectrum.html" target="_blank">documentation</a>, the table contains the mean BP/RP reflectance spectra of asteroids computed as the ratio between the asteroid flux and an averaged solar analogue flux. In each row, the reflectance spectrum of a given asteroid is given at a given wavelength. Entries for all asteroids are concatenated into a single table.</p><p style="text-align: justify;">The reflectance spectrum is sampled at the following wavelengths (nanometers):</p><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border: none; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; text-align: justify; user-select: text; white-space: pre-wrap; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="outline: none;" tabindex="-1">374 418 462 506 550 594 638 682 726 770 814 858 902 946 990 1034</span></pre><p style="text-align: justify;">The reflectance value for the wavelength 550 nm is always equal to 1 as a consequence of a normalization performed by design as part of the Gaia processing.</p><div style="text-align: justify;">Every row has a flag that indicates the expected quality of the measurement (0 - Good quality - 1 potential poor quality - 2 quality appears compromised).</div><p style="text-align: justify;"><b>Occasionaly, the measurement for one or more of the above wavelength is missing. In order to simplify, I took into account only asteroids with complete measurements and also having flag = 0</b></p><p>I ended up with a table containing data for 9926 asteroids, the top rows are shown here:</p><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border: none; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; user-select: text; white-space: pre-wrap; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="outline: none;" tabindex="-1"><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> number_mp denomin…¹ 374_n…² 418_n…³ 462_n…⁴ 506_n…⁵ 550_n…⁶ 594_n…⁷ 638_n…⁸ 682_n…⁹ 726_n…˟ 770_n…˟ 814_n…˟ 858_n…˟ 902_n…˟ 946_n…˟ 990_n…˟ 1034_…˟
</span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><int></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><chr></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> </span><span class="GND-IWGDH3B xtermItalic xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; font-style: italic; margin: 0px; outline: none; user-select: text; word-break: break-all;"><dbl></span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;">
</span><span class="GND-IWGDH3B xtermColor250" color="rgb(188, 188, 188) !important" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;">1</span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> 18 melpomene 0.709 0.765 0.853 0.933 1 1.04 1.06 1.11 1.16 1.17 1.14 1.11 1.14 1.11 1.16 1.18
</span><span class="GND-IWGDH3B xtermColor250" color="rgb(188, 188, 188) !important" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;">2</span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> 38 leda 0.739 0.825 0.924 0.970 1 0.999 0.979 0.981 0.986 1.00 1.02 1.04 1.05 1.06 1.08 1.12
</span><span class="GND-IWGDH3B xtermColor250" color="rgb(188, 188, 188) !important" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;">3</span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"> 58 concordia 0.809 0.871 0.936 0.979 1 0.996 0.970 0.969 0.976 0.980 1.00 1.01 1.03 1.05 1.08 1.15</span></span></pre><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border: none; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; user-select: text; white-space: pre-wrap; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="outline: none;" tabindex="-1"><span class="GND-IWGDH3B xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"># … with abbreviated variable names ¹denomination, ²`374_nm`, ³`418_nm`, ⁴`462_nm`, ⁵`506_nm`, ⁶`550_nm`, ⁷`594_nm`, ⁸`638_nm`, ⁹`682_nm`,</span><span class="GND-IWGDH3B" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;">
</span><span class="GND-IWGDH3B xtermColor246" color="rgb(148, 148, 148) !important" style="border: none; margin: 0px; outline: none; user-select: text; word-break: break-all;"># ˟`726_nm`, ˟`770_nm`, ˟`814_nm`, ˟`858_nm`, ˟`902_nm`, ˟`946_nm`, ˟`990_nm`, ˟`1034_nm`</span></span></pre><p>Every row contains the spectrum for a given asteroid, the reflectance values have been allocated in the appropriate column (i.e., the reflectance value measured at 374 nm is in column name 374_nm etc. etc.).</p><p>Based on the table, I generated the following boxplot to show the overall distribution of the reflectance values at different wavelengths:</p><p></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEipFZMJWHkjle81l8XZ3osCxowtxSSHbT2Y5j2b5sGCxoDa5UZWOXZAfC1UWC9PQTJt9JmwJrfJEgfH_bXjGRRlK_FjlW3q1xFwgEFudl_Pl98v2q34-eTUW2urie3TLneiBea-kffePT6BIAdNbLj13vLXHL5nXFHLpm_T5s8Yd-MAYo0xn05jY43R" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="960" data-original-width="1070" height="573" src="https://blogger.googleusercontent.com/img/a/AVvXsEipFZMJWHkjle81l8XZ3osCxowtxSSHbT2Y5j2b5sGCxoDa5UZWOXZAfC1UWC9PQTJt9JmwJrfJEgfH_bXjGRRlK_FjlW3q1xFwgEFudl_Pl98v2q34-eTUW2urie3TLneiBea-kffePT6BIAdNbLj13vLXHL5nXFHLpm_T5s8Yd-MAYo0xn05jY43R=w640-h573" width="640" /></a></div><br /><br /></div><br />There seems to be a lot of "dispersion" at greater wavelength, specially at 1034 nm - not clear if this is a consequence of data acquisition or if there is another reason. <p></p><p>Let's see which asteroid has the minimum//maximum reflectance for any given wavelength:</p><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border: none; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; user-select: text; white-space: pre-wrap; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="outline: none;" tabindex="-1"> Min Reflectance Max Reflectance
374_nm "MUTOJUNKYU" "2001 FZ25"
418_nm "TERUHIME" "2001 EM24"
462_nm "TERUHIME" "SHERMAN"
506_nm "1997 YQ5" "1986 TD"
594_nm "1999 AD6" "2001 AA24"
638_nm "BHATTACHARYYA" "2001 AA24"
682_nm "COURBET" "1998 AR"
726_nm "BRAGA-RIBAS" "CLAVIUS"
770_nm "BHATTACHARYYA" "1999 RM166"
814_nm "1997 VP2" "BREWER"
858_nm "2000 EG87" "JUSTITIA"
902_nm "LINMICHAELS" "JUSTITIA"
946_nm "LINMICHAELS" "JUSTITIA"
990_nm "1999 XU188" "1990 QF9"
1034_nm "2001 EM24" "NABOKOV" </span></pre><p>Thus, it seems that asteroid "2001 EM24" has at the same time maximum reflectance at 418 nm (blue region) and minimum reflectance at 1034 nm (infrared region).</p><p>This fact suggests a question: is there any correlation between the reflectance in different regions of the spectrum?</p><p>In order to answer this question, I tried to plot the heatmap showing the correlation between the reflectance at various vavelengths:</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg_NldnEDQVQBO8plFMrfjdxC2ITaaah9vAqc1-Z7WE506dXVYquOEzjxVubfYdnl_Q3l81rrJH_tYHvBG3msjYmWGAX994czmqSeQz5VGm3AI7ajaeIzn9rM2BW_1IAwoPikXMngd6G8f1Tlu5nKZ7bwObDgFXdGVZTWt4RY6XaKABvDM4c8-iKt4p" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="960" data-original-width="1070" height="573" src="https://blogger.googleusercontent.com/img/a/AVvXsEg_NldnEDQVQBO8plFMrfjdxC2ITaaah9vAqc1-Z7WE506dXVYquOEzjxVubfYdnl_Q3l81rrJH_tYHvBG3msjYmWGAX994czmqSeQz5VGm3AI7ajaeIzn9rM2BW_1IAwoPikXMngd6G8f1Tlu5nKZ7bwObDgFXdGVZTWt4RY6XaKABvDM4c8-iKt4p=w640-h573" width="640" /></a></div><br /><br /><p></p><p style="text-align: justify;">Looking specifically at the correlation between 418 nm and 1034 nm, it appears that the correlation is almost null so it is not obvious for 2001 EM24 to have those characteristics.</p><p style="text-align: justify;">At first glance, it seems that the correlation between the reflectance at adjacent wavelengths is positive but looking better there are three macro areas:</p><p style="text-align: justify;"></p><ul><li>wavelengths less than 506 nm: moderate positive correlation (orange-red) with reflectance of wavelengths less than 506 nm</li><li>wavelengths greater than 594 nm: moderate positive correlation (orange-red) with reflectance of wavelengths greater than 594 nm</li><li>wavelengths greater than 594 nm : moderate negative correlation (lightblue-blue) with reflecteance of wavelengths less than 506 nm</li></ul><p></p><p style="text-align: justify;">However, the last area has a notable exception: Looking at wavelength 1034 nm, the correlation with adjacent wavelength tends to decrease smoothly, going from medium values like 0.68 at 990 nm down to -0.11 at 462 nm but then very strangely it increases to 0.24 at 374 nm.</p><p style="text-align: justify;">Another way to look at the heatmap is to sort the rows and columns to show those that have more similiarities:</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEilQfwXUizBvaXyP9AXEWyvkl1snf9wR2P3ikw4AungVDCnTe8sPvGLH1oJYoRid6p3ZoUIbHd9WgAyllykEJQ0Q8O63i-zqnB2wxzhWFlrDLsZeNKV8D9r7ccHpqvuVZWRPnincRLZ19hVwJ66HbZPX_8-1EnqbTK2w-9Uucp0NXE4sPQVOTQx-5TP" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="935" data-original-width="1070" height="559" src="https://blogger.googleusercontent.com/img/a/AVvXsEilQfwXUizBvaXyP9AXEWyvkl1snf9wR2P3ikw4AungVDCnTe8sPvGLH1oJYoRid6p3ZoUIbHd9WgAyllykEJQ0Q8O63i-zqnB2wxzhWFlrDLsZeNKV8D9r7ccHpqvuVZWRPnincRLZ19hVwJ66HbZPX_8-1EnqbTK2w-9Uucp0NXE4sPQVOTQx-5TP=w640-h559" width="640" /></a></div><br />Two/three macro clusters have been proposed by the heatmap clustering algorithm:<p></p><p></p><ol style="text-align: left;"><li>cluster 1: wavelenghts 374 nm, 506 nm, 418 nm, 462 ... so let's say less than 506nm</li><li>cluster 2: wavelengths 1034 nm, 946 nm, 990 nm ... so let's say above 946 nm</li><li>cluster 3: other wavelengths, the two most similar columns (alsmost identical, wavelength 682 nm and 726 nm )</li></ol><div><br /></div><div>Following a <a href="https://groups.io/g/mpml/message/38241" target="_blank">comment</a> from David Tholen, I tried to do a PCA analysis.</div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;">We have the reflectance values measured in 15 wavelengths.</span><br style="box-sizing: border-box; color: #333333; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px;" /><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;">I am not sure If I did the PC analysis correctly, I used an R function called prcomp (with options: scale=TRUE, center=TRUE ), and I got 15 PCs:</span><br style="box-sizing: border-box; color: #333333; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px;" /><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border-radius: 4px; border: none; box-sizing: border-box; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; overflow-wrap: break-word; overflow: auto; padding: 9.5px; user-select: text; white-space: pre-wrap; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1">Importance of components:
PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 PC10 PC11 PC12 PC13 PC14 PC15
Standard deviation 2.8929 1.6682 1.06353 0.9675 0.67070 0.57156 0.48552 0.44024 0.38308 0.34102 0.29515 0.27139 0.23949 0.22285 0.21092
Proportion of Variance 0.5579 0.1855 0.07541 0.0624 0.02999 0.02178 0.01572 0.01292 0.00978 0.00775 0.00581 0.00491 0.00382 0.00331 0.00297
Cumulative Proportion 0.5579 0.7434 0.81884 0.8812 0.91123 0.93301 0.94872 0.96165 0.97143 0.97918 0.98499 0.98990 0.99372 0.99703 1.00000</span></pre><br style="box-sizing: border-box; color: #333333; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px;" /><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;">The two most important components PC1 and PC2 explain 74% of the observed variations.</span><br style="box-sizing: border-box; color: #333333; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 14px;" /><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;">The rotation matrix is:</span></div><div><span style="background-color: #002240; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; white-space: pre-wrap;"> PC1 PC2</span></div><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border: none; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; user-select: text; white-space: pre-wrap; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="outline: none;" tabindex="-1">374_nm 0.091 -0.210
418_nm 0.244 -0.311
462_nm 0.253 -0.283
506_nm 0.200 -0.249
594_nm -0.246 0.106
638_nm -0.283 0.134
682_nm -0.311 0.124
726_nm -0.320 0.127
770_nm -0.327 0.094
814_nm -0.334 -0.027
858_nm -0.307 -0.209
902_nm -0.256 -0.338
946_nm -0.222 -0.404
990_nm -0.202 -0.435
1034_nm -0.143 -0.369</span></pre><div><span class="GND-IWGDI3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1"><br /></span></div><div><br /></div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;">The best way to see how the spectrum of the 15 wavelengths are related to PC1 and PC2 is to make a biplot graph:</span></div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;"><br /></span></div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;"><br /></span></div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjHIkjPPBr5as_E2gyTSrELqrxQedbuU-t2EprkaiJ892PmaQZIEJ2yXL8f8WyQl-AFtLjZSYLbCk7cJFaD6316x21L1VzLD74XfMfkK4OlRUDsb6G4FnyBKxBju5--zxr88A9YjLfB0_JpUqut0ocECt1QX8DVx7D1PjJl_3GyN2pI7NLQ1X1Uq648" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="935" data-original-width="1070" height="559" src="https://blogger.googleusercontent.com/img/a/AVvXsEjHIkjPPBr5as_E2gyTSrELqrxQedbuU-t2EprkaiJ892PmaQZIEJ2yXL8f8WyQl-AFtLjZSYLbCk7cJFaD6316x21L1VzLD74XfMfkK4OlRUDsb6G4FnyBKxBju5--zxr88A9YjLfB0_JpUqut0ocECt1QX8DVx7D1PjJl_3GyN2pI7NLQ1X1Uq648=w640-h559" width="640" /></a></div><br /><span style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;">I would like to add every asteroid to the biplot (PC1,PC2 values) giving it color blue when it has more reflectance in the </span><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;">ultraviolet-blue region and color red when it has more reflectance in the infrared region.<br style="box-sizing: border-box;" />Considering the available wavelengths measured by Gaia, let's say that the boundary is 726 nm .<br style="box-sizing: border-box;" />Let me make an example for a specific asteroid so I can check my understanding.<br style="box-sizing: border-box;" /><br style="box-sizing: border-box;" />Let's look at asteroid tangshan:<br style="box-sizing: border-box;" /></span><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border-radius: 4px; border: none; box-sizing: border-box; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; overflow-wrap: break-word; overflow: auto; padding: 9.5px; user-select: text; white-space: pre-wrap !important; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1"> 374_nm 418_nm 462_nm 506_nm 550_nm 594_nm 638_nm 682_nm 726_nm 770_nm 814_nm 858_nm 902_nm 946_nm 990_nm 1034_nm
1.178925 0.9620726 0.927563 0.9703729 1 0.9914462 0.963688 0.9828192 0.9620575 1.012652 0.96741 0.9921364 1.02211 1.009736 1.021114 1.077629 </span></pre><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><span style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;">Let's define a numeric rule for assigning the color.</span><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;">My first naive approach would be to look for the maximum reflectance value: in this case, as the maximum reflectance value is found for wavelength 374 nm, the color would be blue.</span><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;">A second approach would be to calculate the mean reflectance value for spectra below 726 nm and compare it with the mean reflectance value for spectra above 726 nm: the first mean is </span><span style="background-color: #002240; box-sizing: border-box; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; white-space: pre-wrap;">0.993216</span><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;"><br style="box-sizing: border-box;" /></span><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;">while the second mean is </span><span style="background-color: #002240; box-sizing: border-box; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; white-space: pre-wrap;">1.004193</span><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;"> and so in this case the color woud be red.</span></span></div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;"><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;"><br /></span></span></div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;"><span style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; white-space: pre-wrap;">Thus, it is difficult to find an easy rule.<br style="box-sizing: border-box;" /><br style="box-sizing: border-box;" /></span><span style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;">If you apply rule 1, you get the following numbers and related biplot diagram:</span><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border-radius: 4px; border: none; box-sizing: border-box; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; overflow-wrap: break-word; overflow: auto; padding: 9.5px; user-select: text; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1"><span class="GND-IWGDN2B ace_keyword" style="box-sizing: border-box; color: #ff9d00;">Rule 1<span style="box-sizing: border-box; white-space: pre-wrap !important;">
</span></span><span class="GND-IWGDH3B" style="border: none; box-sizing: border-box; margin: 0px; outline: none; user-select: text; white-space: pre-wrap !important; word-break: break-all;">
blue red
733 9193 </span></span></pre><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;"><br /></span></div><div><span face=""Helvetica Neue", Helvetica, Arial, sans-serif" style="background-color: white; color: #333333; font-size: 14px;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiaGvFswVNLIq02shImhViySEtsgcuHO77PLP_3XfuPf5CQOhuCPS9p9Ea8ktJPeDFWm3aICkTQBGr98Kom5fJ7hjzhFMxTu49-CXJRIy2ZI3YZSOEui-siVmuKS3KTTW6XtEYWQAXw1r4ZR5GZADhzOvTQCYu56PVCaCrhjJKATAHG87Vy-3CqoK6U" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="935" data-original-width="1070" height="559" src="https://blogger.googleusercontent.com/img/a/AVvXsEiaGvFswVNLIq02shImhViySEtsgcuHO77PLP_3XfuPf5CQOhuCPS9p9Ea8ktJPeDFWm3aICkTQBGr98Kom5fJ7hjzhFMxTu49-CXJRIy2ZI3YZSOEui-siVmuKS3KTTW6XtEYWQAXw1r4ZR5GZADhzOvTQCYu56PVCaCrhjJKATAHG87Vy-3CqoK6U=w640-h559" width="640" /></a></div><br /><br /></span></div><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><span style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;">If you apply rule 2, you get the following numbers and biplot (apparently blue and red asteroids are better separated)</span><br style="box-sizing: border-box; font-family: "Helvetica Neue", Helvetica, Arial, sans-serif;" /><pre aria-label="Console Output" class="GND-IWGDH3B" id="rstudio_console_output" role="document" style="background-color: #002240; border-radius: 4px; border: none; box-sizing: border-box; color: white; font-family: "DejaVu Sans Mono", monospace; font-size: 13.3333px; line-height: 1.25; margin-bottom: 0px; margin-top: 0px; outline: none; overflow-wrap: break-word; overflow: auto; padding: 9.5px; user-select: text; white-space: pre-wrap !important; word-break: break-all;" tabindex="0"><span class="GND-IWGDI3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1"><span class="GND-IWGDO3B ace_keyword" style="box-sizing: border-box; color: #ff9d00; user-select: text; white-space: pre;">Rule 2</span><span class="GND-IWGDN2B ace_keyword" style="box-sizing: border-box; color: #ff9d00;">
</span><span class="GND-IWGDH3B" style="border: none; box-sizing: border-box; margin: 0px; outline: none; user-select: text; word-break: break-all;">
blue red
245 9681 </span></span></pre><div><span class="GND-IWGDI3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1"><span class="GND-IWGDH3B" style="border: none; box-sizing: border-box; margin: 0px; outline: none; user-select: text; word-break: break-all;"><br /></span></span></div><div><span class="GND-IWGDI3B" role="document" style="box-sizing: border-box; outline: none;" tabindex="-1"><span class="GND-IWGDH3B" style="border: none; box-sizing: border-box; margin: 0px; outline: none; user-select: text; word-break: break-all;"><br /></span></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjXGKUDfJogn0kYybaqM9qjqMF2wmsefcln4zvUxfVDbPWyqMJAqvGNQ-UFtsTOgLrohiPRSYNmY59xOh6qGye7F5Q8Fj4lG3jfCOrpWMxsPSTdgvVkBx92touNKnIkpf_X3Pzxl3xzSkvPZ8h5fvk7dFl5cUKUmpFsjLr611Ft7rPIoNaWMwEOzjTK" style="margin-left: 1em; margin-right: 1em;"><img data-original-height="935" data-original-width="1070" height="559" src="https://blogger.googleusercontent.com/img/a/AVvXsEjXGKUDfJogn0kYybaqM9qjqMF2wmsefcln4zvUxfVDbPWyqMJAqvGNQ-UFtsTOgLrohiPRSYNmY59xOh6qGye7F5Q8Fj4lG3jfCOrpWMxsPSTdgvVkBx92touNKnIkpf_X3Pzxl3xzSkvPZ8h5fvk7dFl5cUKUmpFsjLr611Ft7rPIoNaWMwEOzjTK=w640-h559" width="640" /></a></div><br /><br /></div></span></div><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-33933038244989891992023-01-09T20:40:00.000+01:002023-01-09T20:41:12.552+01:00(294003) 2007 TN89 versus 2020 OJ94<p>This is a potentially interesting couple (future studies may confirm if these two asteroids separated from a common body or not).</p><p><br /></p><p><span style="background-color: #fcff01;">Clones Generation</span></p><p>I generated 100 clones for each asteroid trying to achieve the same orbital parameters distribution as the real asteroids (data from JPL - Small-Body Database Lookup)</p><p><b>2007 TN89</b></p><table class="gmisc_table" style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0.4); border-collapse: collapse; caret-color: rgb(0, 0, 0); font-family: -webkit-standard; margin-bottom: 1em; margin-top: 1em;"><thead><tr><th style="border-top-color: grey; border-top-style: solid; border-top-width: 2px;"></th><th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; text-align: center;">Clones</th><th colspan="1" style="border-bottom-style: none; border-top-color: grey; border-top-style: solid; border-top-width: 2px;"> </th><th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; text-align: center;">Target</th></tr><tr><th style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 1px;"></th><th style="border-bottom: 1px solid grey; text-align: center;">mean</th><th style="border-bottom: 1px solid grey; text-align: center;">sd</th><th colspan="1" style="border-bottom: 1px solid grey; text-align: center;"> </th><th style="border-bottom: 1px solid grey; text-align: center;">mean</th><th style="border-bottom: 1px solid grey; text-align: center;">sd</th></tr></thead><tbody><tr><td style="border-right: 1px solid black;">q</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2.68037919449023</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">1.02422758252756e-07</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2.68037919030732</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">1.0278e-07</td></tr><tr><td style="border-right: 1px solid black;">e</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.0332834075416157</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.72583687170622e-08</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.0332834084098655</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">3.723e-08</td></tr><tr><td style="border-right: 1px solid black;">i</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.87064454567147</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.91926754962451e-06</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.87064467562245</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.9051e-06</td></tr><tr><td style="border-right: 1px solid black;">peri</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">119.704478491351</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">9.26537293487407e-05</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">119.70447923946</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">9.1341e-05</td></tr><tr><td style="border-right: 1px solid black;">node</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">165.541938400386</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">5.00609236406486e-05</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">165.541939646563</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.9617e-05</td></tr><tr><td style="border-bottom: 2px solid grey; border-right: 1px solid black;">tp</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2460623.98663213</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.000350292088224234</td><td colspan="1" style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; text-align: right;"> </td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2460623.98664169</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.00035377</td></tr></tbody></table><p><b>2020 OJ94</b></p><table class="gmisc_table" style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0.4); border-collapse: collapse; caret-color: rgb(0, 0, 0); font-family: -webkit-standard; margin-bottom: 1em; margin-top: 1em;"><thead><tr><th style="border-top-color: grey; border-top-style: solid; border-top-width: 2px;"></th><th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; text-align: center;">Clones</th><th colspan="1" style="border-bottom-style: none; border-top-color: grey; border-top-style: solid; border-top-width: 2px;"> </th><th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; text-align: center;">Target</th></tr><tr><th style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 1px;"></th><th style="border-bottom: 1px solid grey; text-align: center;">mean</th><th style="border-bottom: 1px solid grey; text-align: center;">sd</th><th colspan="1" style="border-bottom: 1px solid grey; text-align: center;"> </th><th style="border-bottom: 1px solid grey; text-align: center;">mean</th><th style="border-bottom: 1px solid grey; text-align: center;">sd</th></tr></thead><tbody><tr><td style="border-right: 1px solid black;">q</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2.68031516329671</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">5.80931724850316e-07</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2.68031508062098</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">5.8247e-07</td></tr><tr><td style="border-right: 1px solid black;">e</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.0332987005798029</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2.12854522457715e-07</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.0332987315205281</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2.1173e-07</td></tr><tr><td style="border-right: 1px solid black;">i</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.8708823913187</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">1.03347748674252e-05</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">4.87088223032125</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">1.0457e-05</td></tr><tr><td style="border-right: 1px solid black;">peri</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">119.702555842119</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.000210522154416148</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">119.70257257331</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.00021113</td></tr><tr><td style="border-right: 1px solid black;">node</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">165.541174514102</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.000118615308715787</td><td colspan="1" style="text-align: right;"> </td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">165.541191321507</td><td style="border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.00011803</td></tr><tr><td style="border-bottom: 2px solid grey; border-right: 1px solid black;">tp</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2460627.54541522</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.000804795345716826</td><td colspan="1" style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; text-align: right;"> </td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">2460627.54557597</td><td style="border-bottom-color: grey; border-bottom-style: solid; border-bottom-width: 2px; border-right-color: black; border-right-style: solid; border-right-width: 1px; text-align: right;">0.00080474</td></tr></tbody></table><p><span style="background-color: #fcff01;">Simulation</span></p><p>The backward simulationwas done with Mercury 6 software taking into account all planets + Ceres + Pallas + Vesta:</p><p><br /></p><p>)O+_06 Integration parameters (WARNING: Do not delete this line!!)</p><p>) Lines beginning with `)' are ignored.</p><p>)---------------------------------------------------------------------</p><p>) Important integration parameters:</p><p>)---------------------------------------------------------------------</p><p> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS</p><p> start time (days)= 2460125.5</p><p> stop time (days) = -1d8</p><p> output interval (days) = 100</p><p> timestep (days) = 0.05</p><p> accuracy parameter=1.d-12</p><div><br /></div><div><span style="background-color: #fcff01;">Results</span></div><div><span style="background-color: #fcff01;"><br /></span></div><div><span style="background-color: white;">After the simulation finished, I compared all the 100x100=10^4 clone couples to determine the behaviour of the "best" couples sorting them by minimum relative velocity.</span></div><div><span style="background-color: white;"><br /></span></div><div><span style="background-color: white;">The top 10 couples behaved like this (relative distance in km, relative velocity in m/s):</span></div><div><span style="background-color: white;"><br /></span></div><div><span style="background-color: white;"><span style="font-family: courier;"><div> Year relative_Distance relative_Velocity</div><div> 1: -79283.756 3578.058 0.008</div><div> 2: -167296.514 10004.868 0.008</div><div> 3: -144257.301 7417.041 0.009</div><div> 4: -101207.820 4225.343 0.009</div><div> 5: -95159.236 4890.873 0.015</div><div> 6: -133453.520 5479.847 0.017</div><div> 7: -143202.385 4896.550 0.017</div><div> 8: -111727.954 6362.393 0.020</div><div> 9: -101200.975 5827.283 0.020</div><div>10: -225280.730 11845.825 0.020</div></span></span></div><div><span style="background-color: white;"><br /></span></div><div><span style="background-color: white;">The best couple (row 1) is this one:</span></div><div><span style="background-color: white;"><br /></span></div><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhncBKYgcy6xHK7XByXGQwoECjiZEP7rQTc81eSsY6BgQidZhkjfizJejehDQuHm6X09goXP9buxME5v83xBTrGo2ns1eALrAql6r15PT3smq_4O5AkdRYX_bZ47m0j53iQkyQUT_MLCtQG8s_9fJHrkWbleICRR2KtI29j9yBeLEJlRiVCndN7f7E6/s826/bestcouple.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="590" data-original-width="826" height="458" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhncBKYgcy6xHK7XByXGQwoECjiZEP7rQTc81eSsY6BgQidZhkjfizJejehDQuHm6X09goXP9buxME5v83xBTrGo2ns1eALrAql6r15PT3smq_4O5AkdRYX_bZ47m0j53iQkyQUT_MLCtQG8s_9fJHrkWbleICRR2KtI29j9yBeLEJlRiVCndN7f7E6/w640-h458/bestcouple.png" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLYa2xnJD5TvuXNw0KdwHoDtee4WAIAs_bV2YuKYO_CxN5_3lc_zogYwHW527slg1OiMWiWP1WRcm-uGUzneNfnjWZJKV56IDzR2fxE9B01mnQ400xdSCnEgrmV2X_IpGs63m3LyRJUpmK5Gd2ySj55n94rdf05gAO4BSRGW4o675lF6Dkc70q0WTK/s826/VX_VY.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="590" data-original-width="826" height="458" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLYa2xnJD5TvuXNw0KdwHoDtee4WAIAs_bV2YuKYO_CxN5_3lc_zogYwHW527slg1OiMWiWP1WRcm-uGUzneNfnjWZJKV56IDzR2fxE9B01mnQ400xdSCnEgrmV2X_IpGs63m3LyRJUpmK5Gd2ySj55n94rdf05gAO4BSRGW4o675lF6Dkc70q0WTK/w640-h458/VX_VY.png" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYVrVC14KmxDl3mPITl2WZRH2eRELQ6LpEe_F0YWmj_CnQJsiw6nm4mPzH-IkjhbKJwjJEJ8YoxeKe2KF6UDa5sVes_mh6yGMHFE_nghmcDqJndvHGsdpsBmyYPkvPZ_Q-53Qi5ROGl2btmugGWp58ke54UNu7PKTHxnf3Inu_zhUt9A3dap19I4b2/s826/XY.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="590" data-original-width="826" height="458" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYVrVC14KmxDl3mPITl2WZRH2eRELQ6LpEe_F0YWmj_CnQJsiw6nm4mPzH-IkjhbKJwjJEJ8YoxeKe2KF6UDa5sVes_mh6yGMHFE_nghmcDqJndvHGsdpsBmyYPkvPZ_Q-53Qi5ROGl2btmugGWp58ke54UNu7PKTHxnf3Inu_zhUt9A3dap19I4b2/w640-h458/XY.png" width="640" /></a></div><br /><br /><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-41615933965142135132022-10-15T23:18:00.013+02:002022-10-16T11:32:34.556+02:002022 QC148 and 2015 PQ47 - Datura cluster members?<p>Backward simulation based on nominal orbital parameters (<a href="https://groups.io/g/mpml/message/38047">updated</a> by Sam Deen ):</p><p></p><p> <img height="354" src="data:image/png;base64,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" width="640" /></p><p>Backward simulation based on nominal orbital parameters available on 15-October-2022</p><p><br /></p><p><img height="354" src="data:image/png;base64,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" width="640" /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-73224764090286354062022-10-09T21:01:00.001+02:002022-10-09T21:02:25.441+02:002022 QB59 and 2022 RM50 and 2011 RF40 <p>See <a href="https://groups.io/g/mpml/message/38016" target="_blank">this</a> MPML message and related thread about this probable asteroid cluster.</p><p>Using Sam Deen's updated orbital elements, we get this result from a backward simulation performed with Mercury6 software:</p><p><br /></p><p><img height="363" 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" width="640" /></p><p><br /></p><p>2022 QB59 and 2022 RM50 are likely to have separated from a common parent body.<br /></p><p> </p><p> </p><p>Best wishes,</p><p>Alessandro Odasso<br /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-79897197705963048482022-08-29T01:21:00.007+02:002022-08-29T01:37:58.374+02:00Comet 311P and asteroid 2003 QO120<p> see MPML <a href="https://groups.io/g/mpml/message/37907" target="_blank">message </a><br /></p><p> </p><p><u>Backward integration result </u><br /></p><p><img height="365" 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" width="640" /></p><p><br /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-37573345389507959932022-08-27T18:02:00.003+02:002022-08-27T18:02:24.104+02:00Asteroid 2006 XL5 - likely cometary origin<p>The orbits of asteroid 2006 XL5 and comet 75D/Kohoutek are vaguely similar:<br /></p><pre> a e i om w q
(2006 XL5) 3.723259 0.5154009 4.526352 274.0060 175.1221 1.804288
75D/Kohoutek 3.543147 0.4963074 5.907209 269.6861 175.8017 1.784657
</pre><p style="text-align: justify;">It is not clear to me if asteroid 2006 XL5 with a diameter about 1.6 km might be an old fragment of the lost comet that was estimated to be about 4.6 km in diameter.</p><p style="text-align: justify;">I tried a backward simulation but there is no clear indication that this is the case.</p><p style="text-align: justify;">What is interesting is that 2006 XL5 might have a cometary origin itself (the MOID with jupiter is about 0.16 AU).<br /></p><p><br /></p><p><u>Clones generation</u><br /></p><p>I generated 100 clones of asteroid 2006 XL5 trying to achieve the same mean orbital parameters (and uncertainty).<br /></p><table class="gmisc_table" style="border-collapse: collapse; margin-bottom: 1em; margin-top: 1em;">
<thead>
<tr>
<th style="border-top: 2px solid grey;"><br /></th>
<th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; font-weight: 900; text-align: center;">Clones</th><th colspan="1" style="border-bottom: none; border-top: 2px solid grey;"> </th>
<th colspan="2" style="border-bottom: 1px solid grey; border-top: 2px solid grey; font-weight: 900; text-align: center;">2006 XL5<br /></th>
</tr>
<tr><th style="border-bottom: 1px solid grey;"><br /></th>
<th style="border-bottom: 1px solid grey; font-weight: 900; text-align: center;">mean</th>
<th style="border-bottom: 1px solid grey; font-weight: 900; text-align: center;">sd</th>
<th colspan="1" style="border-bottom: 1px solid grey; font-weight: 900; text-align: center;"> </th>
<th style="border-bottom: 1px solid grey; font-weight: 900; text-align: center;">mean</th>
<th style="border-bottom: 1px solid grey; font-weight: 900; text-align: center;">sd</th>
</tr>
</thead>
<tbody>
<tr>
<td style="border-right: 1px solid black; text-align: left;">q</td>
<td style="border-right: 1px solid black; text-align: right;">1.80428798284277</td>
<td style="border-right: 1px solid black; text-align: right;">5.24177295141045e-07</td>
<td colspan="1" style="text-align: right;"> </td>
<td style="border-right: 1px solid black; text-align: right;">1.80428796355464</td>
<td style="border-right: 1px solid black; text-align: right;">5.2592e-07</td>
</tr>
<tr>
<td style="border-right: 1px solid black; text-align: left;">e</td>
<td style="border-right: 1px solid black; text-align: right;">0.515400864913161</td>
<td style="border-right: 1px solid black; text-align: right;">1.29060036714178e-07</td>
<td colspan="1" style="text-align: right;"> </td>
<td style="border-right: 1px solid black; text-align: right;">0.515400869129902</td>
<td style="border-right: 1px solid black; text-align: right;">1.2918e-07</td>
</tr>
<tr>
<td style="border-right: 1px solid black; text-align: left;">i</td>
<td style="border-right: 1px solid black; text-align: right;">4.52635127581998</td>
<td style="border-right: 1px solid black; text-align: right;">7.48101264185302e-06</td>
<td colspan="1" style="text-align: right;"> </td>
<td style="border-right: 1px solid black; text-align: right;">4.52635163398884</td>
<td style="border-right: 1px solid black; text-align: right;">7.4744e-06</td>
</tr>
<tr>
<td style="border-right: 1px solid black; text-align: left;">peri</td>
<td style="border-right: 1px solid black; text-align: right;">175.122110003296</td>
<td style="border-right: 1px solid black; text-align: right;">0.000109392746353213</td>
<td colspan="1" style="text-align: right;"> </td>
<td style="border-right: 1px solid black; text-align: right;">175.122116165405</td>
<td style="border-right: 1px solid black; text-align: right;">0.00010898</td>
</tr>
<tr>
<td style="border-right: 1px solid black; text-align: left;">node</td>
<td style="border-right: 1px solid black; text-align: right;">274.006039830699</td>
<td style="border-right: 1px solid black; text-align: right;">9.87233639993821e-05</td>
<td colspan="1" style="text-align: right;"> </td>
<td style="border-right: 1px solid black; text-align: right;">274.006030101048</td>
<td style="border-right: 1px solid black; text-align: right;">9.8249e-05</td>
</tr>
<tr>
<td style="border-bottom: 2px solid grey; border-right: 1px solid black; text-align: left;">tp</td>
<td style="border-bottom: 2px solid grey; border-right: 1px solid black; text-align: right;">2459319.93402565</td>
<td style="border-bottom: 2px solid grey; border-right: 1px solid black; text-align: right;">0.000249555965707767</td>
<td colspan="1" style="border-bottom: 2px solid grey; text-align: right;"> </td>
<td style="border-bottom: 2px solid grey; border-right: 1px solid black; text-align: right;">2459319.93400848</td>
<td style="border-bottom: 2px solid grey; border-right: 1px solid black; text-align: right;">0.00024939</td>
</tr>
</tbody>
</table>
<p></p><p><u> </u></p><p><u>Backward simulation config parameters<br /></u></p><p>Mercury6 software - package version 6 by John E. Chambers<br /></p><p>)O+_06 Integration parameters (WARNING: Do not delete this line!!)<br />) Lines beginning with `)' are ignored.<br />)---------------------------------------------------------------------<br />) Important integration parameters:<br />)---------------------------------------------------------------------<br /> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS<br /> start time (days)= 2459806.5<br /> stop time (days) = -1d8<br /> output interval (days) = 100<br /> timestep (days) = 0.05<br /> accuracy parameter=1.d-12<br />...</p><p> ejection distance (AU)= 100<br /><br /></p><p>based on this configuration, any clone coming into the solar system from a distance greater than 100 AU is considered to have a "cometary origin".</p><p><br /></p><p><u>Simulation results</u></p><p><span style="background-color: #fcff01;">75% of the clones have a cometary origin</span><br /></p><p><img height="365" src="data:image/png;base64,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" width="640" /> <br /></p><p> ddd<br /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-81295057839882533032022-07-23T21:55:00.000+02:002022-07-23T21:55:05.064+02:00(76000) Juliuserving and 2020 YQ9<p>Backward integration performed with Mercury6 integrator using the nominal orbit paameters.<br /></p><p><u>Main integration parameters:</u></p><pre>)---------------------------------------------------------------------
) Important integration parameters:
)---------------------------------------------------------------------
algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS
start time (days)= 2459671.5
) stop time (days) = 102458000.5
stop time (days) = -1d8
output interval (days) = 100
timestep (days) = 0.05
accuracy parameter=1.d-12
)---------------------------------------------------------------------
) Integration options:
)---------------------------------------------------------------------
stop integration after a close encounter = no
allow collisions to occur = no
include collisional fragmentation = no
express time in days or years = years
express time relative to integration start time = no
output precision = medium
< not used at present >
include relativity in integration= no
include user-defined force = no
</pre><p> </p><p><u>Integration result</u></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTJX8j_8WWgHqhLw2QjjRMoCIKfvS5EqZj24fjAllJGBV8_ADkIflDzSrar1XXqodSmh9xOIwIvMIu3-kKBJuWKiCuTHHs6gb6yPztVc9f-fT156f0TJwd6s_S76FtNRJ0L1q0lA3e1FP4lxPzoxT3Rq-xiOfcYNaZGO_GBeOstDZ5Ke6InI7mbq_y/s580/Rplot.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="430" data-original-width="580" height="474" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTJX8j_8WWgHqhLw2QjjRMoCIKfvS5EqZj24fjAllJGBV8_ADkIflDzSrar1XXqodSmh9xOIwIvMIu3-kKBJuWKiCuTHHs6gb6yPztVc9f-fT156f0TJwd6s_S76FtNRJ0L1q0lA3e1FP4lxPzoxT3Rq-xiOfcYNaZGO_GBeOstDZ5Ke6InI7mbq_y/w640-h474/Rplot.jpeg" width="640" /></a></div><br /><p><br /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-39382109656615517932022-07-03T20:19:00.002+02:002022-07-03T20:19:19.679+02:00A/2019 O2<p style="text-align: justify;">Following this <a href="https://groups.io/g/mpml/message/37731">message</a> <span lang="EN-US"></span> (and related responses) from Pieter-Jan Dekelver, <span lang="EN-US">working at the Observatory Grömme - MPC: D09 – M09</span>in MPML list, I tried a backward simulation looking at a few centuries in the past.</p><p style="text-align: justify;">It seems to be an object can get as far as 106 AU from the sun in repeating cycles (about 450-500 years).<br /></p><p><br /></p><p><u>r (sun distance)</u></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiZgejr-KgNKbRkbGveA7_knGt68MLZ8jMJ6Q6NvHzX-jqkXtAzzjHwAUq4bIRnywy9HHFBF4S84QYOMmmfIUl6G8GQjO4p-A_nvH_l0McPfIfBQWwWsxO4E5mrxO1Siq_oP8XaHg6UJnpQp5N3EaA6KhjRIcXcaacSH3fPj-IA3Q9UNyFOyqcrO61/s2097/9-r.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiZgejr-KgNKbRkbGveA7_knGt68MLZ8jMJ6Q6NvHzX-jqkXtAzzjHwAUq4bIRnywy9HHFBF4S84QYOMmmfIUl6G8GQjO4p-A_nvH_l0McPfIfBQWwWsxO4E5mrxO1Siq_oP8XaHg6UJnpQp5N3EaA6KhjRIcXcaacSH3fPj-IA3Q9UNyFOyqcrO61/w640-h640/9-r.jpeg" width="640" /></a></div><br /><p><br /></p><p><u>Orbital parameters</u></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZYc52mPyZgnbMfdDCw87YywMbw13ikEPqfI2DrSdop3ALYSkqVcd8aERPuZyaikPMFzw91J342t08CdNFCzprgwiN7ykcFeXTK4s5z33cyOkqMeLJaY0acfzwGAnw-3RwRO3NXF9JpH5FFVgVAwEVLx6NDRYnZW9RhAE4EnkhHrxVlSAZUNj2z8F9/s2097/1-a.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZYc52mPyZgnbMfdDCw87YywMbw13ikEPqfI2DrSdop3ALYSkqVcd8aERPuZyaikPMFzw91J342t08CdNFCzprgwiN7ykcFeXTK4s5z33cyOkqMeLJaY0acfzwGAnw-3RwRO3NXF9JpH5FFVgVAwEVLx6NDRYnZW9RhAE4EnkhHrxVlSAZUNj2z8F9/w640-h640/1-a.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNk9cYLth6MICSLzyuNIt4G-nZJyDFhi8eAPwFlRJKm_ahmZwRIJAsXToD41z-TOnY6vAXufN8Jq8Aus7HDXGE4-r_V6lse4FInF6LQShr9Vc8KwRlZE220M-dusBSadjPr2xBp37n_mtDiCtKTXH2EK2EspJTJcaOwCsWpYbe7K7xze1GgtRVBfsZ/s2097/2-e.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNk9cYLth6MICSLzyuNIt4G-nZJyDFhi8eAPwFlRJKm_ahmZwRIJAsXToD41z-TOnY6vAXufN8Jq8Aus7HDXGE4-r_V6lse4FInF6LQShr9Vc8KwRlZE220M-dusBSadjPr2xBp37n_mtDiCtKTXH2EK2EspJTJcaOwCsWpYbe7K7xze1GgtRVBfsZ/w640-h640/2-e.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5dWZbjATDHbAzHx-iRNfI8Cy0XkQ5T5n-vrOCSrYGcb9iRCx4CYfGp9hMjzuGVHYAKv91y5zY5t1UkmxTBO8Gq_hel-JagxSSLXfOO39Dvcu9XBB6ipvjCaEGlXgIncL6wTYcnjvjbEITTREUK1enmxB_RYhYMcKxppVw9QV36nCD2Ka5QEeInyjG/s2097/3-q.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5dWZbjATDHbAzHx-iRNfI8Cy0XkQ5T5n-vrOCSrYGcb9iRCx4CYfGp9hMjzuGVHYAKv91y5zY5t1UkmxTBO8Gq_hel-JagxSSLXfOO39Dvcu9XBB6ipvjCaEGlXgIncL6wTYcnjvjbEITTREUK1enmxB_RYhYMcKxppVw9QV36nCD2Ka5QEeInyjG/w640-h640/3-q.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-7EKsiStpI5DiqISI_z31DR9QDpdNG3H3WnoEwX80DW_p-ifEUhsGKjXsCqj_PsGkBIfoeICpF4XcKZYS-ahPe8uunLMOQIpxlS2XFLcctb4Akvu8V8-XR3qVpgSUJFNbh7SZQEiLLPkw4Hbig4Wb4Y1oSCDgQxhQntQLpbtAtUzfy4bO6-njBQw3/s2097/4-Q.jpeg" imageanchor="1" style="margin-left: 1em; 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margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcspmro_yAhp4xqjBKR7NXpJz2TLz9xoAGkMMMAtWLLc8dpBj8yfzV05kWa8qmRtzY-7mM5o7yHNbMjZwOr4OwY7vmDy6lDkByJcSdocnOflQEL2jBR3klfj002rmsu-Yao68SFtR8xStd3Zakb1jl6tOX0HIszT44w-gVcQiPgDWxIdh2aconh86_/w640-h640/7-node.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSKTBl4tZMnnDksRi9T0yciYOYey8z08zAkweTB40o8A_IPHNSffQ3cFcIXY40j2s86us9mymJ1P4IwoMUvIf5bJ61D8ZdQIkVSV_oJ7yaw7NedeunfWV00X_E3tIb06JzFQsBPN3cnT9rn5tNcUqdS_AU7IbZS7gtbC1kQV4PeFqYEzjWT_Rdo_0f/s2097/8-long.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSKTBl4tZMnnDksRi9T0yciYOYey8z08zAkweTB40o8A_IPHNSffQ3cFcIXY40j2s86us9mymJ1P4IwoMUvIf5bJ61D8ZdQIkVSV_oJ7yaw7NedeunfWV00X_E3tIb06JzFQsBPN3cnT9rn5tNcUqdS_AU7IbZS7gtbC1kQV4PeFqYEzjWT_Rdo_0f/w640-h640/8-long.jpeg" width="640" /></a></div><br /><p><br /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-22423410396846448052022-06-26T16:52:00.003+02:002022-06-26T17:13:20.982+02:00Asteroid Families - Cluster Dendogram<p style="text-align: justify;">This wiki <a href="https://en.wikipedia.org/wiki/Asteroid_family" target="_blank">page</a> displays a table of asteroid families.</p><p style="text-align: justify;">Out of curiosity, I imported the table in R and I run a hierarchical clustering algorithm on the table taking into account the average orbital parameters a,e,i of the various families.</p><p style="text-align: justify;">Then I plotted the resulting dendogram (rotated 90 deg to facilitate reading):</p><br /><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaLaobANdE794gY3fhwGo-ECr9K9dN4BS7KtN0x57-GmocN5c9tjGls7FIJZ8Qa-CLwkxWBOs0I-BRE95eReTlyAo4ungH_R3VPeINWE6Pk2dFSDldqODYzyPkAnhInID9ALuW2B3qNurIsqwtFm6Bq_FiZkYa9SCltFRNNIn50fFxWyTtXtqVs6OT/s1849/imageV.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1849" data-original-width="939" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaLaobANdE794gY3fhwGo-ECr9K9dN4BS7KtN0x57-GmocN5c9tjGls7FIJZ8Qa-CLwkxWBOs0I-BRE95eReTlyAo4ungH_R3VPeINWE6Pk2dFSDldqODYzyPkAnhInID9ALuW2B3qNurIsqwtFm6Bq_FiZkYa9SCltFRNNIn50fFxWyTtXtqVs6OT/s16000/imageV.png" /></a></div><br />alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-79385297453309809482022-06-25T10:42:00.041+02:002022-06-25T12:32:41.288+02:00100499 (1996 XP) and 2014 OT426<p> Backward integration with Mercury6 based on nominal orbital parameters:</p><p>)---------------------------------------------------------------------<br />) Important integration parameters:<br />)---------------------------------------------------------------------<br /> algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS<br /> start time (days)= 2459671.5<br />) stop time (days) = 102458000.5<br /> stop time (days) = -1d8<br /> output interval (days) = 100<br /> timestep (days) = 0.05<br /> accuracy parameter=1.d-12<br /><br /></p><p><u>Result</u></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLqyTonasu2AJbZd9QWzFdPuDQdf_6W8AtUjdLcRGmel3pd_pnphOrMYpToOo-HsGKYAVryxQE2k-uLZ0QlyNjT9Ob1UW9Kp7MTjdf_1eoLPsvxYwlDlxAnejeg7TGzlPW4K3Yf4sn9BtaduKOpgIqjtA8W984Q4zbfbo9aVRDUWSeuMXviZKwMxSI/s2097/last.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLqyTonasu2AJbZd9QWzFdPuDQdf_6W8AtUjdLcRGmel3pd_pnphOrMYpToOo-HsGKYAVryxQE2k-uLZ0QlyNjT9Ob1UW9Kp7MTjdf_1eoLPsvxYwlDlxAnejeg7TGzlPW4K3Yf4sn9BtaduKOpgIqjtA8W984Q4zbfbo9aVRDUWSeuMXviZKwMxSI/w640-h640/last.jpg" width="640" /></a></div><p><br /> P.S.</p><p>Following a comment from Afrien Coffinet (what happened at about year -15000 ?), I plotted the orbital parameters of the asteroids that are almost overlapped, at least at the scale of the graphics.</p><p>Around that date: </p><ul style="text-align: left;"><li>eccentricity reached the minimum value as confirmed by q and Q, </li><li>inclination reached the minimum value, </li><li>the argument of perihelium had a "disturbance" (encounter with a big planet? - not clear)<br /></li><li>the ascending node reached the maximum vaue)<br /></li></ul><p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_SvYnPaZ1q-WcS4f2Siha_Wj8mODXUTZ0QQ6XuTwl8AyjEwSWd_d0XFKazBOSa2lIzs21d1OiaUG9jUA3SmLg1tVa5bhiZ0q5zfoBTFuBDy1OlENaLmEU29KPzDVcj3n-KxlDggrRTf06oGzme2Q-eXUhDLQS97ZE_XB6gDacUTWdwaAMwdvOC8QY/s2097/1-a.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_SvYnPaZ1q-WcS4f2Siha_Wj8mODXUTZ0QQ6XuTwl8AyjEwSWd_d0XFKazBOSa2lIzs21d1OiaUG9jUA3SmLg1tVa5bhiZ0q5zfoBTFuBDy1OlENaLmEU29KPzDVcj3n-KxlDggrRTf06oGzme2Q-eXUhDLQS97ZE_XB6gDacUTWdwaAMwdvOC8QY/w640-h640/1-a.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiewy9tuKk0uXnnBiQu9DEf8bK3x4aPPcVOe2RzEzW_urFzlRRgsL8cPKDtzjv0axkU3jR3tEfscTsZbLSPhQJ97aHoGNBjxiIZmJyG3k7dxGl6rQ6hWDQkkP99oGpDp8VzjtUUCAwQHGVx09hRqauuK7rgwA4kk4CgjbB5CgjrMcn2tBGLmml2OlFD/s2097/2-e.jpeg" imageanchor="1" style="margin-left: 1em; 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text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKY5xOtSgFLBMzPDSAWUh_HMTUKr-2WSuaPKoKEu8X_8SYIyLjtMJXHsVqAOwBJeZZ2X9FUEQs6G4vR0GrwLUqNgIjkenv9M5o1j6uGrqv4wWwDNZj6VeAlTC5dql2oMw8jynCU0VTbpKKdG-wTNOtf6dVLv80TKGnnLsftPBQdKTsFNyiAiXlFjTm/s2097/7-node.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKY5xOtSgFLBMzPDSAWUh_HMTUKr-2WSuaPKoKEu8X_8SYIyLjtMJXHsVqAOwBJeZZ2X9FUEQs6G4vR0GrwLUqNgIjkenv9M5o1j6uGrqv4wWwDNZj6VeAlTC5dql2oMw8jynCU0VTbpKKdG-wTNOtf6dVLv80TKGnnLsftPBQdKTsFNyiAiXlFjTm/w640-h640/7-node.jpeg" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpepo2DezO4odfgEEJMrhks7codqJ2MZJkguqlN2aJe9PCZD6hY_hIJ8aw1d3kWK9YhtDmwONQiAaNI4yaVt1ALEGQh4UfeY7Jpdbkfy0v6VFx5NqiEA8Bf9ve-cRVkJfQKYOOFSWBgP4TDmAhCeoL_qi4qE1OO28BGkj9j76T6r6dWJTeNz_1PXkO/s2097/8-long.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2097" data-original-width="2096" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpepo2DezO4odfgEEJMrhks7codqJ2MZJkguqlN2aJe9PCZD6hY_hIJ8aw1d3kWK9YhtDmwONQiAaNI4yaVt1ALEGQh4UfeY7Jpdbkfy0v6VFx5NqiEA8Bf9ve-cRVkJfQKYOOFSWBgP4TDmAhCeoL_qi4qE1OO28BGkj9j76T6r6dWJTeNz_1PXkO/w640-h640/8-long.jpeg" width="640" /></a></div><br /> <br /><p></p><p></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0tag:blogger.com,1999:blog-2984650895645592206.post-27905290687893590532022-06-23T09:42:00.000+02:002022-06-23T09:43:18.012+02:00(246095) = 2007 DQ102 versus 2016 CQ357<p>Following this <a href="https://groups.io/g/mpml/message/37678">message</a> from Adrian Coffinet, I tried a backward simulation based on the current nominal orbital parameters.</p><p>The result seems to confirm that these two Hungarians might have a common origin:</p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEG92QkiLSOYKPi87xAGu1ZY0yvL9Fbvv95xG3UpS9TdWEoNKOw2aAuONC9r1Tj4diRzUBV_sTbudHLTjL7aGgdRCBMRiyyISqWLD3-bj0uOgwQltYFHXEwX_jnhJ9DZVvw96Qt0fThJ_PLCGDeqZ1nA3yFxa2Dk1ewLEg0ARjyw7Y5BzTY2Cg2OaP/s2100/last.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2100" data-original-width="2100" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEG92QkiLSOYKPi87xAGu1ZY0yvL9Fbvv95xG3UpS9TdWEoNKOw2aAuONC9r1Tj4diRzUBV_sTbudHLTjL7aGgdRCBMRiyyISqWLD3-bj0uOgwQltYFHXEwX_jnhJ9DZVvw96Qt0fThJ_PLCGDeqZ1nA3yFxa2Dk1ewLEg0ARjyw7Y5BzTY2Cg2OaP/w640-h640/last.jpg" width="640" /></a></div><br /><p><br /></p>alessandro odassohttp://www.blogger.com/profile/15015456097531663517noreply@blogger.com0