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11/21/17 at 04:14:58
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Transneptunian belt simulation (Read 2117 times)
frankuitaalst
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Transneptunian belt simulation
11/16/08 at 07:44:17
 
I created a simulation of 750 bodies between 35 and 50 Au away.  
This is between Neptunes ( 30.1 Au ) and Plutos orbit .  
Running the sim for more than 4000 years gives the following picture of the belts dynamics :  
Represented in red is the change of eccentricity ; green is the evolution of inclination .  
This belt seems to be poor in resonance patterns as opposite to belts in the neighbourhood of Jupiter  
However the peaks in the picture correspond with the 5/4 , 4/3, and 3/2 resonances to Neptune .  
The broad basis of the picture indicates a lot of weaker disturbances due to the other giants is present .  
It's interesting to see that the bodies near to Neptune tend to change their inclination towards Neptunes inclination .
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EDG
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Re: Transneptunian belt simulation
Reply #1 - 11/16/08 at 09:45:46
 
That agrees with my sim of the belt outside my jovian ( http://www.orbitsimulator.com/cgi-bin/yabb/YaBB.pl?num=1223246512/27#27 ) - the big resonances in an exterior belt are the 4:5, 3:4 and 2:3 resonances. I suspect the little bump around 48 AU is the 1:2?
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frankuitaalst
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Re: Transneptunian belt simulation
Reply #2 - 11/16/08 at 11:47:50
 
Yes , the resemblance between the two sims is striking , except for the 2:1 resonance , which is hardly visible . However , when I run the sim for longer time the 2:1 resonance pops up more clearly .  
Each of the resonances seem to need some time to develop .
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mazda
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Re: Transneptunian belt simulation
Reply #3 - 11/17/08 at 04:18:23
 
The Brazilian astronomer Patryk Sofia Lykawka of Kobe University recently demonstrated that in the presence of a body, with mass between 0.3-0.7 Earth masses, could produce exactly the current distribution of characteristics of the families of TNOs.  
 
This body would have migrated of more internal regions to outter regions by gravitational influence of Jupiter.  
 
In their migration it would have stayed a while in the corresponding region of the Kuiper belt, configuring it with the current caracteristics, and then migrated to more distant regions (between 100-175 AU) which stabilized its orbit  and eliminate your influence over TNOs.  
 
It is an interesting proposal that could be reproduced in Gravitty Simulator but I do not know how to make the simulation of the migration of the object.
 
More information about the work of the Patryk here:
http://harbor.scitec.kobe-u.ac.jp/~patryk/index-en.html
 
The graphics of the current orbit of the hypothetical planet here:
http://harbor.scitec.kobe-u.ac.jp/~patryk/outerplanet/planet-en.html
 
And the preprint of your article ( accepted in "The Astronomical Journal"  and "Advances in Geosciences Planetary Science" ) here:
http://harbor.scitec.kobe-u.ac.jp/~patryk/Patryk-Planetoid.pdf
 
A divulgation texts about your work here:
http://spaceurope.blogspot.com/2007/10/here-we-are-again-back-at-dps-and-this.ht ml
http://www.space.com/scienceastronomy/080618-planet-x.html
 
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frankuitaalst
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Re: Transneptunian belt simulation
Reply #4 - 11/17/08 at 07:42:39
 
Thanks for the links Mazda . At least some lecture for the coming long evenings ... Smiley
A first look at the .pdf file tells me this prof knows what's he talking about , very good presentation!
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Tony
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Re: Transneptunian belt simulation
Reply #5 - 11/17/08 at 08:54:45
 
Quote from mazda on 11/17/08 at 04:18:23:
It is an interesting proposal that could be reproduced in Gravitty Simulator but I do not know how to make the simulation of the migration of the object.

You use the Autopilot "Continuous Orientation > Prograde or Retrograde" and a very small Thrust.
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frankuitaalst
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Re: Transneptunian belt simulation
Reply #6 - 11/17/08 at 14:02:31
 
Tony , this makes me think ...One feature in GravSim which may be worth to implement is the possibility to "launch" a spaceraft from one planet in a given direction with given initial velocity . I know it's possible to create a new body and enter the position and velocity ...but it would be easier to use local parameters such as escape velocity and "direction towards" . Do you think this can be done ?  
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