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December 18th, 2012, 07:17 AM  #1 
Newbie Joined: Dec 2012 Posts: 9 Thanks: 0  Equations of motion of the classical 3 body problem
I've come across this blog/website, 3bproblem.blogspot.com, when running a search on the subject. If this is a formulation of the problem in six equations one can expect it to have a solution, since only six constants are needed instead of nine. Or this fact doesn't necessarily mean that it has a solution, even with only six equations? Thank you! 
December 18th, 2012, 03:35 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,528 Thanks: 589  Re: Equations of motion of the classical 3 body problem
You should post a link  the label itself leads nowhere.

December 18th, 2012, 04:42 PM  #3 
Newbie Joined: Dec 2012 Posts: 9 Thanks: 0  Re: Equations of motion of the classical 3 body problem 
December 19th, 2012, 01:08 PM  #4 
Global Moderator Joined: May 2007 Posts: 6,528 Thanks: 589  Re: Equations of motion of the classical 3 body problem
You need only six equations, since the problem has m_0 fixed, so you will be getting the relative trajectories of m_1 and m_2.

December 19th, 2012, 02:29 PM  #5 
Newbie Joined: Dec 2012 Posts: 9 Thanks: 0  Re: Equations of motion of the classical 3 body problem
Precisely and that's the problem. I'm not a guru on the subject but I can't find a formulation of this problem in 6 equations anywhere else, and the demonstration links to a page 'coming soon'..

December 20th, 2012, 12:23 PM  #6 
Global Moderator Joined: May 2007 Posts: 6,528 Thanks: 589  Re: Equations of motion of the classical 3 body problem
I don't understand your objection. The only thought I have is that problems are usually based on a fixed center of mass, rather than fixing one body.

December 20th, 2012, 02:41 PM  #7 
Newbie Joined: Dec 2012 Posts: 9 Thanks: 0  Re: Equations of motion of the classical 3 body problem
I'm not objecting the equations in any way because I don't know how to get them. I know the center of mass formulation of the problem in 9 equations. My question is how do you get this one in 6 equations. Any source? Thanks.

December 21st, 2012, 12:40 PM  #8 
Global Moderator Joined: May 2007 Posts: 6,528 Thanks: 589  Re: Equations of motion of the classical 3 body problem
I am not sure what you are looking for. The link you supplied gives the six equations.

December 22nd, 2012, 08:26 AM  #9 
Newbie Joined: Dec 2012 Posts: 9 Thanks: 0  Re: Equations of motion of the classical 3 body problem
I'm looking for the demonstration of those.

December 22nd, 2012, 12:08 PM  #10  
Global Moderator Joined: May 2007 Posts: 6,528 Thanks: 589  Re: Equations of motion of the classical 3 body problem Quote:
 

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