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Full-Text Articles in Astrodynamics
Application Of Kam Theorem To Earth Orbiting Satellites, Bryan D. Little
Application Of Kam Theorem To Earth Orbiting Satellites, Bryan D. Little
Theses and Dissertations
An orbit that lies on a Kolmogorov, Arnold, and Moser (KAM) Torus will remain on that torus until and unless it experiences a force that causes it to leave the torus. Earth satellites that are subject only to the Earth's gravity field may lie on such KAM tori. Analyzing on orbit satellite position data should allow for the identification of the fundamental frequencies needed to define the KAM tori for modeling Earth satellite orbits. KAM Tori are created for the Gravity Recovery and Climate Experience (GRACE) and Jason-1 satellites to model their orbital motion. Precise position data for the satellites …