see MPML message
Backward integration result
The orbits of asteroid 2006 XL5 and comet 75D/Kohoutek are vaguely similar:
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
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.
I tried a backward simulation but there is no clear indication that this is the case.
What is interesting is that 2006 XL5 might have a cometary origin itself (the MOID with jupiter is about 0.16 AU).
Clones generation
I generated 100 clones of asteroid 2006 XL5 trying to achieve the same mean orbital parameters (and uncertainty).
Clones | 2006 XL5 |
||||
---|---|---|---|---|---|
mean | sd | mean | sd | ||
q | 1.80428798284277 | 5.24177295141045e-07 | 1.80428796355464 | 5.2592e-07 | |
e | 0.515400864913161 | 1.29060036714178e-07 | 0.515400869129902 | 1.2918e-07 | |
i | 4.52635127581998 | 7.48101264185302e-06 | 4.52635163398884 | 7.4744e-06 | |
peri | 175.122110003296 | 0.000109392746353213 | 175.122116165405 | 0.00010898 | |
node | 274.006039830699 | 9.87233639993821e-05 | 274.006030101048 | 9.8249e-05 | |
tp | 2459319.93402565 | 0.000249555965707767 | 2459319.93400848 | 0.00024939 |
Backward simulation config parameters
Mercury6 software - package version 6 by John E. Chambers
)O+_06 Integration parameters (WARNING: Do not delete this line!!)
) Lines beginning with `)' are ignored.
)---------------------------------------------------------------------
) Important integration parameters:
)---------------------------------------------------------------------
algorithm (MVS, BS, BS2, RADAU, HYBRID etc) = BS
start time (days)= 2459806.5
stop time (days) = -1d8
output interval (days) = 100
timestep (days) = 0.05
accuracy parameter=1.d-12
...
ejection distance (AU)= 100
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".
Simulation results
75% of the clones have a cometary origin
ddd
Backward integration performed with Mercury6 integrator using the nominal orbit paameters.
Main integration parameters:
)--------------------------------------------------------------------- ) 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
Integration result
Following this message (and related responses) from Pieter-Jan Dekelver, working at the Observatory Grömme - MPC: D09 – M09in MPML list, I tried a backward simulation looking at a few centuries in the past.
It seems to be an object can get as far as 106 AU from the sun in repeating cycles (about 450-500 years).
r (sun distance)
Orbital parameters
This wiki page displays a table of asteroid families.
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.
Then I plotted the resulting dendogram (rotated 90 deg to facilitate reading):
Backward integration with Mercury6 based on nominal orbital parameters:
)---------------------------------------------------------------------
) 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
Result
P.S.
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.
Around that date: