about TNO - Range (226 - 1600] AU

In the previous message, I have noticed that if you sort TNO by semi-major axis and look at the top 5% asteroids, you get  a plot like this when you count the number of TNO with 2<=Tap<=3 (Tap = Tisserand parameter calculated for a generic planer with semi-major axis = ap):

The above plot is contributed by 107 TNOs.

What happens if you divide the above range (91.6 - 1600) AU into quartiles containing about 25 TNOs and analyze each interval?

You get these plots:

The relative maxima (highlighted by a green vertical line) are at about:

• 150 AU
• 180 AU
• 300 AU
• 700 AU

Again, I wonder whether the value 700 AU is just a coincidence (this is the semi-major axis of hypotethical Planet IX).
Also, we can note that there is an important contribution around 40-50 AU

Range (226 - 1600] AU
In this range we can see a relative maximum at ap = 700 AU

 

The TNOs that belong to this range are the following ones (including Sedna, the recently found (2015 TG387) and (2012 VP113):

	a	e	i	om	w
(2015 RY245)	227.8024555331	0.862742794022662	6.02579057401376	341.482534287424	354.379197127984
(1996 PW)	253.360837265531	0.990159010876786	29.9564761499396	144.38344890968	181.599728786903
(2012 VP113)	257.670644084881	0.687879948137137	24.1098643272105	90.6795458316776	293.616585249803
(2011 OR17)	267.62292506094	0.988371756092761	110.50391097494	271.443208707997	14.0658781504528
523719 (2014 LM28)	277.831093719718	0.939635865307078	84.7387523405941	246.178631712983	38.3643481614205
336756 (2010 NV1)	290.079238904053	0.967604322181253	140.749066145312	136.12865174322	132.653401330885
(2014 SR349)	303.688812847671	0.843030035231188	17.9784555874619	34.7970603621366	340.9130466591
(2013 FT28)	310.616250286609	0.860083663649765	17.3373719033496	217.770979685592	40.5386236787914
474640 (2004 VN112)	319.030257013192	0.851750858061802	25.59923139738	65.9764025946988	326.79999934344
(2015 GT50)	324.376802633332	0.881380238783511	8.7830884236707	46.0926336967559	129.328691760594
(2010 GB174)	350.594295543395	0.86096080378873	21.5863384533732	130.834994060552	347.447039201188
(2013 RF98)	357.875680246011	0.89920589784544	29.5866288844056	67.5780554516926	311.60258271302
418993 (2009 MS9)	368.487142381523	0.970179216772268	68.0660878375908	220.219433266459	128.567138515509
(2010 BK118)	389.145964196596	0.984348164069148	143.920199567286	175.941078666813	178.818657782284
(2015 RX245)	416.893254246754	0.890708576281222	12.1442299283332	8.59935840940333	65.1236515168313
(2015 BP519)	428.027266563915	0.917819042035429	54.1249991475254	135.107945553683	348.369423899309
523622 (2007 TG422)	472.770400320918	0.924843603208057	18.6197089456926	112.840026264392	285.537555783418
90377 Sedna (2003 VB12)	479.904866256856	0.841319584894813	11.9299242495342	144.327455233507	311.537354629566
(2013 AZ60)	484.397145476081	0.98363520249315	16.5359964047277	349.217448669393	158.442004096158
87269 (2000 OO67)	530.123370592557	0.960895340434559	20.0714845859386	142.254938715792	212.260873064693
(2013 SY99)	690.436183999428	0.927540233739612	4.22812585166895	29.4926598948928	32.0370907419145
(2015 KG163)	833.924720518964	0.951438398457847	13.9710168392877	219.066912107087	32.1814864999031
308933 (2006 SQ372)	904.113070520086	0.97329765168653	19.4838316640774	197.35069393261	122.323597503501
(2013 BL76)	966.427374233357	0.991354934255776	98.5918528472484	180.146423518858	165.869112499064
(2015 TG387)	1094.03723933517	0.940644000179443	11.6569634176564	300.812384068154	118.173821344875
(2014 FE72)	1505.44081025962	0.975865331102204	20.6550437712073	336.883214197736	134.161930450064
(2012 DR30)	1603.442512224	0.99091354190591	77.9863761979072	341.477038650836	195.571835807795

 

Those specific TNOs that contribute to the relative maxima with ap=700 AU are the following 14 ones (there is Sedna, but in this case, we do not see the recently found (2015 TG387) and we do not see (2012 VP113).

	a	e	i	om	w
(1996 PW)	253.360837265531	0.990159010876786	29.9564761499396	144.38344890968	181.599728786903
(2011 OR17)	267.62292506094	0.988371756092761	110.50391097494	271.443208707997	14.0658781504528
523719 (2014 LM28)	277.831093719718	0.939635865307078	84.7387523405941	246.178631712983	38.3643481614205
336756 (2010 NV1)	290.079238904053	0.967604322181253	140.749066145312	136.12865174322	132.653401330885
(2014 SR349)	303.688812847671	0.843030035231188	17.9784555874619	34.7970603621366	340.9130466591
(2013 FT28)	310.616250286609	0.860083663649765	17.3373719033496	217.770979685592	40.5386236787914
474640 (2004 VN112)	319.030257013192	0.851750858061802	25.59923139738	65.9764025946988	326.79999934344
(2015 GT50)	324.376802633332	0.881380238783511	8.7830884236707	46.0926336967559	129.328691760594
(2010 GB174)	350.594295543395	0.86096080378873	21.5863384533732	130.834994060552	347.447039201188
(2013 RF98)	357.875680246011	0.89920589784544	29.5866288844056	67.5780554516926	311.60258271302
418993 (2009 MS9)	368.487142381523	0.970179216772268	68.0660878375908	220.219433266459	128.567138515509
(2015 RX245)	416.893254246754	0.890708576281222	12.1442299283332	8.59935840940333	65.1236515168313
523622 (2007 TG422)	472.770400320918	0.924843603208057	18.6197089456926	112.840026264392	285.537555783418
90377 Sedna (2003 VB12)	479.904866256856	0.841319584894813	11.9299242495342	144.327455233507	311.537354629566

 

Tisserand vs w-range in the last quartile

Due to the limited number of TNO, it is not clear to me if these proportions are significant or not:

	[2.03,2.41]	(2.41,2.75]	(2.75,2.98]
[0,90]	1	2	1
(90,180]	2	0	1
(180,270]	0	0	1
(270,360]	2	2	2

 

 

Tisserand vs om-range in the last quartile

	[2.03,2.41]	(2.41,2.75]	(2.75,2.98]
[0,90]	1	1	3
(90,180]	3	1	1
(180,270]	1	1	1
(270,360]	0	1	0

 

Kind Regards,

Alessandro Odasso