Coplanar three-body trans-earth-lunar trajectory simulation methodology

Statistics – Computation

Scientific paper

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Earth-Moon Trajectories, Spacecraft Trajectories, Swingby Technique, Three Body Problem, Equations Of Motion, Gravitational Effects, Lunar Gravitation

Scientific paper

A coplanar, three-body trans-earth-lunar and return trajectory simulation methodology is derived. The equations of motion are casted onto the spacecraft oriented coordinate system and the state variables are defined with respect to the earth and the moon. The earth is the primary central body system and the moon induces the secondary gravitational influence. In the neighborhood of the moon, however, the role of gravitational dominance switches automatically. Sample computations of earth to moon trajectories with a lunar swings-by and a lunar capture show the transitional behavior of both gravitational influences. The problems are successfully integrated within a reasonable time on an IBM PC with an 8087 Numeric Processor.

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