Control system for maintaining stable orbits around phobos

Physics

Scientific paper

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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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