Non-resonance satellite rotations around the center of mass in a quasi-periodic orbit in the restricted n-body problem.

Physics

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Scientific paper

Non-resonance satellite rotations around the center of mass in a quasi-periodic orbit in the restricted n-body problem are discussed. The following asumptions are made: the ellipsoid of inertia of the satellite is close to sphere; the orbital motion of bodies and satellite is described by quasi-periodic functions of time. It is assumed that in spite of perturbations, the rotation of the satellite around the vector of the kinetic moment I2 represents "Euler-Poinsot" motion. The authors construct a qualitative picture of motions of the vector I2. The influence of the orbital elements of the bodies of the system on the rotation of the satellite is investigated.

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