Article | REF: TRP4060 V1

Space Trajectories. Three-Body Problem

Author: Max CERF

Publication date: June 10, 2021, Review date: June 8, 2021

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1. Restricted circular problem

This section presents the modeling of the restricted circular three-body problem, with the equations of motion in a rotating frame of reference, the accessible regions as a function of initial conditions, and the location of equilibrium points.

1.1 Equations of motion

The three-body problem considers three material points C 1 , C 2 and M of masses m 1 , m 2 and m respectively in gravitational interaction. When C 1 and C 2 are stars and M a spacecraft, the mass of M is negligible (restricted...

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Restricted circular problem