Physics
Scientific paper
Dec 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988aifo.repts....s&link_type=abstract
M.S. Thesis Air Force Inst. of Tech., Wright-Patterson AFB, OH. School of Engineering.
Physics
Algorithms, Circular Orbits, Control Theory, Orbit Perturbation, Satellite Orbits, Scalars, Dynamic Control, Dynamic Stability, Ellipsoids, Mars (Planet), Natural Satellites, Scientific Satellites, Stability
Scientific paper
Phobos can be modeled as a triaxial ellipsoid in a circular orbit around Mars. The orbital dynamics of a satellite in orbit around Phobos are derived using Hamilton's canonical equations. An algorithm is then developed to find closed orbits for a specified period. Periodic orbits in Phobos' orbital plane have been found to be unstable. A control system is developed using scalar modal control to stabilize the orbit by shifting the unstable Poincar exponent to the left-half plane.
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