Mathematical Physics

    

The N-Body Problem (Le Problème de Mouvement de N Corps)

Authors: Abdelmajid Ben Hadj Salem

The object of this paper is the problem of the motion of three bodies subjected to the attraction of gravitation. In section 1, we write the equations of motion, then we give the ten first integrals of motion. We treat the equations of motion of the case of an artificial satellite around the earth in section 2, where we deduce the 3 laws of Kepler and we give the resolution of the equations of motion of the artificial satellite. In section 3, we consider the case of the motion of two bodies. Finally in section 4, we give details of the equations of motion of 3 bodies, we develop the inverse of the squares of the distances to the first order. We treat, by neglecting the mass of a body, the problem called the restricted movement of two bodies.

Comments: 33 Pages. In French

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[v1] 2022-10-17 02:10:32

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