May 27th, 2018, 04:54 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 384 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, 05:36 PM  #2 
Senior Member Joined: Aug 2012 Posts: 2,043 Thanks: 583 
Our own solar system has many comets with highly elliptical orbits.

May 27th, 2018, 07:28 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,445 Thanks: 2499 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, 08:20 PM  #4 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 384 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, 08:53 PM  #5  
Senior Member Joined: Aug 2012 Posts: 2,043 Thanks: 583 
Turns out that some of our sun's comets approach from random angles. Quote:
 
May 27th, 2018, 09:00 PM  #6 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 384 Thanks: 27 Math Focus: Number theory 
Does the threebody approximation approach freedom of rotation in 3d space?

May 29th, 2018, 01:31 AM  #7  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,130 Thanks: 716 Math Focus: Physics, mathematical modelling, numerical and computational solutions  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 Nbody gravity code is just unfeasible. Quote:
 

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