Solutions of the three-body problem and random processes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbital Resonances (Celestial Mechanics), Random Processes, Spacecraft Trajectories, Three Body Problem, Equations Of Motion, Planetary Gravitation, Stochastic Processes

Scientific paper

The paper examines the stochastic properties of motions in the plane circular restricted three-body problem involving the sun, a planet, and a spacecraft, associated with instability in connection with close approaches. The method of point spheres of action is used to obtain a simple clear scheme and to isolate motions with the necessary properties. Gravitational maneuvers of spacecraft in spheres of planetary action are examined.

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