Attitude stability of a spinning symmetric satellite in a planar periodic orbit

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Attitude Stability, Orbit Calculation, Satellite Orbits, Satellite Orientation, Satellite Rotation, Three Body Problem, Axisymmetric Bodies, Earth-Moon System, Equations Of Motion, Floquet Theorem, Numerical Integration, Satellite Perturbation

Scientific paper

This paper contains an analysis of the attitude stability of a spinning axisymmetric satellite whose mass center moves in any known planar periodic orbit of the restricted three-body problem while the spin axis remains normal to the orbit plane. A procedure based on Floquet theory is developed for constructing instability charts, and examples of these are presented for two stable periodic orbits of the earth-moon system - one directed and one retrograde. Numerical integration of the full nonlinear equations of motion is then performed to provide insight into the physical significance of the stability predictions.

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