Study of the terms of coupling between rotational and translational motions

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Artificial Satellites, Astrodynamics, Canonical Forms, Pegasus Satellites, Satellite Rotation, Translational Motion, Angular Momentum, Equations Of Motion, Hamiltonian Functions, Nutation, Periodic Variations, Precession

Scientific paper

The equations of the translational-rotational motion of an Earth's artificial satellite, taking into account only the gravitational attraction, can be put in canonical form using the Delaunay and Andoyer variables. Terms due to the oblateness of the Earth are considered, as well as different moments of inertia of the satellite, when it is very close to another one. Hori's method is applied to analyse the equations and the solution is presented up to the first order.

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