Chaos in Spatial Attitude Motion of Spacecraft
This chapter treats chaos in spatial attitude motion of spacecraft. The motion of torque-free rigid bodies and gyrostats are discussed in terms of Serret-Andoyer variables, which are introduced to simplify the dynamical models. The influences of the gravitational and magnetic fields on the attitude motion are revisited using the new variables. A rigid body in elliptic orbit and gravitational field, a torque-free rigid body with eccentrically rotating mass, and a magnetic gyrostat in circular orbit acted by gravitational and magnetic torques are discussed with application of Serret-Andoyer variables. The dynamical equations for each model are transformed to an integrable Hamiltonian system with small disturbance. The generalized Melnikov theory is applied to predict transverse heteroclinic points. Poincaré maps are numerically calculated to demonstrate the process from regular to chaotic motions.
Keywordsspatial attitude motion Serret-Andoyer variables rigid body spacecraft generalized Melnikov theory Hamiltonian system Poincaré map
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