The restricted three-body problem in a resisting medium - A particular solution

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Cosmology, Solar System, Three Body Problem, Asteroid Belts, Equations Of Motion, Libration, Planetary Nebulae, Trajectory Analysis

Scientific paper

The purpose of this paper is to study the restricted three-body problem in a resisting medium. This medium rotates at the same constant angular velocity as that of the two main bodies, around their common center of mass. Furthermore, it has a constant density. The small body in motion, starting from libration points L4 or L5, experiences a force which is proportional to the square of its velocity. The particular solution which is found is interesting for questions in the Solar System cosmogony.

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