Oblique regular satellite motions and some fine effects in motion of Moon and Phobos

Physics

Scientific paper

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Circular Orbits, Lunar Rotation, Oblique Coordinates, Phobos, Planetary Orbits, Satellite Rotation, Stationary Orbits, Center Of Mass, Earth-Moon System, Equilibrium Equations, Gravitational Fields, Inertia, Satellite Perturbation, Two Body Problem

Scientific paper

The stationary motions of a satellite with an arbitrary dynamic structure in a central field are investigated. This problem is shown to admit solutions which corresponds to relative equilibrium points of the satellite which differ from (through they are close to) the Lagrangian equilibrium points. Specifically, oblique satellite positions in circular orbit are possible for which the principal central axes of inertia do not coincide with the axes of the orbital coordinate system, though they are close to these axes. The solutions obtained make it possible to explain the observed constant angular displacements of the inertia axes of the Moon and to predict analogus effects in the motion of Phobos as well as the constant dynamic displacements of the mass centers of these bodies.

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