Nutational motion of asymmetric dual-spin spacecraft

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Attitude Stability, Dual Spin Spacecraft, Nutation, Spacecraft Motion, Spacecraft Stability, Equations Of Motion, Nutation Dampers, Rotors, Space Platforms

Scientific paper

A perturbation formulation and an averaging method are used to study the effects of energy dissipation on the attitude motion of a dual-spin spacecraft which has an axisymmetric rotor and a slightly asymmetric platform. Energy dissipation is assumed to be caused by a point-mass nutation damper, on first the platform and then the rotor. Approximate equations, valid through first order in the ratio of damper moment of inertia to a spacecraft moment of inertia, are obtained. The asymmetry of the platform and the damper motion are considered to perturb the rotational motion of the spacecraft. The generalized method of averaging is applied to obtain approximate solutions to the equations of motion. Stability criteria are presented and substantiated by numerical solutions to the exact equations of motion.

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