Geometric parametrization of binary elastic collisions
Abstract
A geometric view of the possible outcomes of elastic collisions of two massive bodies is developed that integrates laboratory, center of mass, and relative body frames in a single diagram. From these diagrams all the scattering properties of binary collisions can be obtained. The particular case of gravitational scattering by a moving massive object corresponds to the slingshot maneuver, and its maximum velocity is obtained.
 Publication:

American Journal of Physics
 Pub Date:
 July 2006
 DOI:
 10.1119/1.2188961
 arXiv:
 arXiv:physics/0602138
 Bibcode:
 2006AmJPh..74..584R
 Keywords:

 45.00.00;
 Classical mechanics of discrete systems;
 Physics  Classical Physics;
 Astrophysics;
 General Relativity and Quantum Cosmology;
 Physics  Space Physics
 EPrint:
 7 pages, 5 figures