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Message started by EDG on 03/13/13 at 00:58:23

Title: eccentric jovians and asteroid belts
Post by EDG on 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!)


Title: Re: eccentric jovians and asteroid belts
Post by Tony on 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.

Title: Re: eccentric jovians and asteroid belts
Post by frankuitaalst on 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 .

Title: Re: eccentric jovians and asteroid belts
Post by frankuitaalst on 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 .

Title: Re: eccentric jovians and asteroid belts
Post by EDG on 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!

Title: Re: eccentric jovians and asteroid belts
Post by frankuitaalst on 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 ....

Title: Re: eccentric jovians and asteroid belts
Post by EDG on 03/21/13 at 00:12:01

That's crazy, it's like a little  tornado in phase space! :)

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