Geometric parametrization of binary elastic collisions

Details Geometric parametrization of binary elastic collisions Geometric parametrization of binary elastic collisions

2006-02-21

arxiv.org/abs/physics/0602138v2

Am.J.Phys.74:584-590,2006

Physics

Classical Physics

7 pages, 5 figures

Scientific paper

10.1119/1.2188961

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.

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