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eccentric jovians and asteroid belts (Read 6863 times)
EDG
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eccentric jovians and asteroid belts
03/13/13 at 00:58:23
 
If Jupiter were to have a pretty eccentric orbit (eccentricity > 0.2), what would happen to any asteroids in a 3:2 (Hilda) resonance? Has anyone tried to simulate this?
 
Also, usually the asteroid belt would be defined by the 4:1 (inner belt edge) and 2:1 (outer belt edge) resonances with Jupiter, how would these be affected by its increased eccentricity?  
 
(I'll probably try this out soon... I'm just wondering if anyone know already!)
 
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Tony
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Re: eccentric jovians and asteroid belts
Reply #1 - 03/13/13 at 01:17:04
 
never tried it, but I"m looking forward to your results.  Let me know if you need help setting it up.
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frankuitaalst
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Re: eccentric jovians and asteroid belts
Reply #2 - 03/15/13 at 15:15:37
 
I guess the Hildas will go unstable if Jup gains eccentricity up to 0.2, not sure .  
Here's a sim of 100 Hilda's , usinng the "onlyplanets.gsim" file .  
It nice to see how the Hilda's arrange themselves periodically into two bunches .
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frankuitaalst
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Re: eccentric jovians and asteroid belts
Reply #3 - 03/18/13 at 14:06:12
 
I was partly wrong .  
Changing Jupiters eccentricity up to 0.2 changes some trajectories but leaves most of the Hildas in their orbit .  
However : the orbits get more eccentric .  
The animation herunder shows the resukt of 100 Hildas in a 3:2 resonance . Aftera short time I've changed Jupiters eccentricity to 0.2 resulting in a dramatic change of some particles . Most of them however adapt but see their eccentricity rise without much signs of instability .
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HildasFamilyJupiterEcc0point2.gif
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EDG
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Re: eccentric jovians and asteroid belts
Reply #4 - 03/19/13 at 08:51:56
 
Sorry, I asked but haven't actually had a chance to even look at it myself yet! Thanks for taking a look!
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frankuitaalst
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Re: eccentric jovians and asteroid belts
Reply #5 - 03/20/13 at 14:35:44
 
EDG , I saw your post in another subject .
Maybe this animatiuon is a better representation of the dynanical behaviour ?  
 
The central region at about 3.9 AU seems to be stable even under Jupiters eccentricity of 0.2.  
A good way to watch is to fix on defined regions in the graph and watch how they move ....
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SimHildasJupiter0p2EccSlowSmall.gif
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EDG
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Re: eccentric jovians and asteroid belts
Reply #6 - 03/21/13 at 00:12:01
 
That's crazy, it's like a little  tornado in phase space! Smiley
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