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Robert C. Helling
#34
Oct12-06, 05:09 AM
P: n/a
On Tue, 18 Oct 2005 12:57:32 +0000 (UTC), John Baez <baez@math.removethis.ucr.andthis.edu> wrote:

> o Twotino - A twotino is a Kuiper belt object whose orbit is in 2:1
> resonance with Neptune. These are rare compared to plutinos, and
> they're smaller, so they're stuck with boring names like 1996 TR66.
> There are also a couple of Kuiper belt objects in 4:3 and 5:3
> resonances with Neptune.


Is there an easy way to see why these resonance orbits come about? Why
do three body systems with a large central object, an intermediate
planet and a small probe happen to get the probe in resonace with the
planet? Is this just "frequency lockiung happens in chaotic systems"
or is there an easy but more quantitative way to understand this?

Probably related: There are people doing numerical long term stability
analysis of the solar system. From what I know, they are not just
taking F=ma and Newton's law of gravity, replace dt by delta t and
then integrate but use much fancier spectral methods. Could somebody
please point me to an introduction into these methods?

Thanks
Robert


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Robert C. Helling School of Science and Engineering
International University Bremen
print "Just another Phone: +49 421-200 3574
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