My Math Forum Spherical solar systems?

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 May 27th, 2018, 05:54 PM #1 Senior Member   Joined: May 2015 From: Arlington, VA Posts: 397 Thanks: 27 Math Focus: Number theory Spherical solar systems? Solar systems have dynamics similar to galaxies. There are many elliptical galaxies. Are there solar systems which maintain several substantially oblique (or perhaps "random") planetary orbits?
 May 27th, 2018, 06:36 PM #2 Senior Member   Joined: Aug 2012 Posts: 2,157 Thanks: 631 Our own solar system has many comets with highly elliptical orbits.
 May 27th, 2018, 08:28 PM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,600 Thanks: 2588 Math Focus: Mainly analysis and algebra But they are mostly (more or less) in the plane of the system, aren't they? I think the question is not so much about eccentricity of orbit as the angle to the plane of the system.
 May 27th, 2018, 09:20 PM #4 Senior Member   Joined: May 2015 From: Arlington, VA Posts: 397 Thanks: 27 Math Focus: Number theory The chaotic satellites might allow extreme ellipses, but not much in the way of skews from the orbital plane (averaged out over many bodies in galaxies)?
May 27th, 2018, 09:53 PM   #5
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Turns out that some of our sun's comets approach from random angles.

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 The inclination of a comet's orbit with respect to the ecliptic (approximately, the plane spanned by the orbits of the major planets) depends on the origin of the comet. Long-period comets come from the Oort's cloud; since Oort's cloud is spherical, long-period comets approach the inner solar system at random angles as you correctly guessed (note that their orbit can be majorly perturbed as they pass near the giant planets). Short-period comets originate in Kuiper's belt and orbit roughly along the plane of the ecliptic.
do all comets approach the sun along the plane of the ecliptic [Ask An Astronomer]

 May 27th, 2018, 10:00 PM #6 Senior Member   Joined: May 2015 From: Arlington, VA Posts: 397 Thanks: 27 Math Focus: Number theory Does the three-body approximation approach freedom of rotation in 3d space?
May 29th, 2018, 02:31 AM   #7
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Quote:
 Originally Posted by Loren Solar systems have dynamics similar to galaxies.
In a way, yes, but there's a lot more to galactic dynamics than with solar system dynamics since there's a considerable amount of matter; trying to solve something like a galaxy with N-body gravity code is just unfeasible.

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 There are many elliptical galaxies. Are there solar systems which maintain several substantially oblique (or perhaps "random") planetary orbits?
I think the current theory suggests that planetary bodies, which form from the protostellar disk, will always be in a plane. However, at the edges of the system you're going to find more objects undergoing orbits out of the plane.

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