Semi-analytical estimates for the orbital stability of Earth's satellites
Irene De Blasi,
Alessandra Celletti,
Christos Efthymiopoulos
Abstract:Normal form stability estimates are a basic tool of Celestial Mechanics for characterizing the long-term stability of the orbits of natural and artificial bodies. Using high-order normal form constructions, we provide three different estimates for the orbital stability of point-mass satellites orbiting around the Earth. i) We demonstrate the long term stability of the semimajor axis within the framework of the J 2 problem, by a normal form construction eliminating the fast angle in the corresponding Hamiltonia… Show more
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