Zero Velocity Surfaces for the General Planar ThreeBody Problem
Abstract
The angular momentum and the energy integral of the planar threebody problem are used to establish regions of the physical space where motion is allowed to take place. Although forbidden regions exist for both negative and positive values of the energy of the system, the known integrals of the motion always allow for at least one of the three bodies to escape.
 Publication:

Astrophysics and Space Science
 Pub Date:
 September 1976
 DOI:
 10.1007/BF00640013
 Bibcode:
 1976Ap&SS..43..355B
 Keywords:

 Angular Momentum;
 Energy Methods;
 Three Body Problem;
 Celestial Mechanics;
 Equations Of Motion;
 Matrices (Mathematics);
 Astronomy