Solar system and $n$ body problem

Asked Oct 27 '19 at 21:08

Active Oct 27 '19 at 21:57

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How is possible for the solar system to be stable if has been proved that even the trhee body problem is chaotic with a very small amount of stable solutions?

Do we need to consider the solar system as a very weird and low probabolity solution stable solution of the n body problem?

or if we have a system like that (the mass of one body, the sun, is 99% of the total mass, and Jupiter and Saturn are 90% or more of the resting mass) then the chances to get a solution with stable solution are actually high?

edited Oct 27 '19 at 21:57

Qmechanic

201,751

asked Oct 27 '19 at 21:08

Enrique

1

You don’t know that our solar system is stable into the infinite future. – G. Smith Oct 27 '19 at 21:11
we don't know that? but was stable for million of years right? or we don't know that either? – Enrique Oct 27 '19 at 21:13
I’m not sure what we know regarding how long it has been similar to what it is today. – G. Smith Oct 27 '19 at 21:19
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Related: https://physics.stackexchange.com/q/235370/75633 , https://physics.stackexchange.com/q/11661/ , https://physics.stackexchange.com/q/8827/ , among others. – stafusa Oct 27 '19 at 21:26
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Possible duplicate of If the solar system is a sensitive chaotic system, can gravitational waves make orbits unpredictable? – stafusa Oct 27 '19 at 21:27
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This is an unanswered question. I believe the leading expert on this is Scott Tremaine from IAS. See https://www.youtube.com/watch?v=97Dg2sWXUiM or https://www.ias.edu/ideas/2011/tremaine-solar-system. – ZeroTheHero Oct 27 '19 at 21:31
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What do you think a "stable solution" is? – BioPhysicist Oct 28 '19 at 13:09

Solar system and $n$ body problem

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