A global existence theorem for the four body problem

Donald G. Saari
1976 Bulletin of the American Mathematical Society  
Consider the four body problem of Newtonian mechanics where physical space is either two or three dimensional and where the center of mass of the system is fixed at the origin of the inertial coordinate system. Phase space is 12 dimensional for the planar problem and 18 dimensional for the nonplanar problem. One of the basic questions in the study of the 4 body problem is to determine the size and nature of the set of initial conditions for which the solutions terminate in finite time. (1970).
more » ... nite time. (1970). Primary 70F10, 70F35; Secondary 34F0S, 58F05. AMS (MOS) subject classifications
doi:10.1090/s0002-9904-1976-14143-2 fatcat:qmmlic4birahnfkvlc7l4vmkru