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Message started by frankuitaalst on 09/27/08 at 14:11:13

Title: Jupiter  moon families
Post by frankuitaalst on 09/27/08 at 14:11:13

A while ago Tony put together the Jupiter moons in the following simulation .
http://www.orbitsimulator.com/gravity/articles/joviansystem.html

I've run this simulation for ca. 40 years , had the values of SMA , eccentricity and inclination outputted in a .txt file and represented it in the following graph .
X-Axis covers the SMA evolution , y-axis the eccentricity of the moons .
The different moon families, especially between  0.10-0.20 AU are clearly visible in this plot .

Title: Re: Jupiter  moon families
Post by frankuitaalst on 09/27/08 at 14:13:28

If the same data are respresented in a SMA- Inclination graph , as herunder , the retrograde orbits of the outer moon families  become very clear .
No member of the four outermost families has a prograde orbit .
Some sources claim the outermost moon is temporarly captured and will be ejected from the system .

Title: Re: Jupiter  moon families
Post by frankuitaalst on 09/28/08 at 06:18:18

A question for Tony : I would like to analyse also the Saturnian Moon system . I've done this already using the fullsystem.gsim data . This simulation contains  42 moons of saturn I think . In the meantime the number of moons of Saturn has increased to 60 .
It would be very nice  to have an update of this simulation .  Can this be done ?

Title: Re: Jupiter  moon families
Post by Tony on 09/28/08 at 11:08:18

http://orbitsimulator.com/gravity/simulations/SaturnianSystem2008.gsim

I made this one in August, so it should be up-to-date.

Title: Re: Jupiter  moon families
Post by Mal on 09/29/08 at 09:05:48

The Jovian moon families that are high inclination are about halfway to the hill sphere radius aren't they? But they're stable because they're retrograde?

Title: Re: Jupiter  moon families
Post by frankuitaalst on 09/29/08 at 09:13:39

yes indeed . In praxis the stability is only given by 40% ? (see Hill Discussion ) for prograde orbits .  

Title: Re: Jupiter  moon families
Post by frankuitaalst on 09/29/08 at 12:47:05


Tony wrote:
http://orbitsimulator.com/gravity/simulations/SaturnianSystem2008.gsim

I made this one in August, so it should be up-to-date.

Thanks Tony .
I ran the simuation for more than fifty years . I think 52 moons of Saturn are in the simulation .
Herunder are the plots of variation of  eccentricity and inclination of the moons as a function ( of the also varying ) sma.
Compared to Jupiters moon system the Saturnain system looks completely different .
Whereas Jupiter has families in the outer regions Saturn rather has coorbitals , orbiting at the same SMA but with different eccentricity or inclination .
In this plot Titan is only a tiny dot at ca. 0.08 AU

Title: Re: Jupiter  moon families
Post by frankuitaalst on 09/29/08 at 12:49:46

Saturnian system : inclination vs Sma .
While Jupiters outer moons all have a retrograde orbit , Saturn has retrogrades within the progrades orbits.

Title: Re: Jupiter  moon families
Post by Dan on 10/05/08 at 00:43:50

I'm impressed. Those are awesome.  :)

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