
Physics Physics Forum 
 LinkBack  Thread Tools  Display Modes 
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: 6,275 Thanks: 516  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: 6,275 Thanks: 516  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: 6,275 Thanks: 516  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: 6,275 Thanks: 516  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: 6,275 Thanks: 516  Re: Equations of motion of the classical 3 body problem Quote:
 

Tags 
body, classical, equations, motion, problem 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
In simple harmonic motion the accleration of the body is ma  rsoy  Physics  2  June 5th, 2012 11:26 AM 
Stuck with a multibody problem  shyronnie  Physics  9  April 9th, 2012 11:38 PM 
THE CLASSICAL BIRTHDAY PROBLEM  azizlwl  Advanced Statistics  1  March 4th, 2012 03:10 PM 
Classical number theory problem  lohnjj1992  Math Events  16  December 22nd, 2010 11:48 AM 
Centrifuge Motion Equations  Kerry  Applied Math  0  July 23rd, 2008 04:52 AM 