Mathematics
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phdt.......105s&link_type=abstract
Ph.D. Thesis Stanford Univ., CA.
Mathematics
Earth Orbits, Pointing Control Systems, Spacecraft Motion, Spin Dynamics, Markov Processes, Mathematical Models, Rocket Engines, Telescopes, Torque
Scientific paper
A large spinning spacecraft in earth orbit includes a rigidly-mounted telescope, parallel to the spacecraft's intended spin-axis. The three principal moments-of-inertia are unequal. Electric thrustors are used to overcome the gravity-gradient torque components. Uncertainty of the spacecraft's inertia tensor, including misalignment of the telescope axis from the actual principal direction, as well as magnetic, solar pressure and aerodynamic forces, produce disturbing torques which are constant or vary sinusoidally during a spin-rotation. The constant torques and the coefficients of the sinusoidal torques are modeled as first order Markov processes and, consequently, increase the dimension of the dynamical state.
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