Zero velocity surfaces for the general planar three-body problem

Mathematics

Scientific paper

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

Scientific paper

The angular momentum and the energy integral of the planar three-body problem are used to establish regions of 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 motion always allow at least one of the three bodies to escape.

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