The main problem of geosynchronous satellite theory around an equilibrium position

Details The main problem of geosynchronous satellite theory around an equilibrium position The main problem of geosynchronous satellite theory around an equilibrium position

Apr 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...284..281o&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 284, no. 1, p. 281-284

Astronomy and Astrophysics

Astrophysics

4

Artificial Satellites, Computerized Simulation, Equilibrium Equations, Geosynchronous Orbits, Hamiltonian Functions, Orbital Resonances (Celestial Mechanics), Euclidean Geometry, Lagrangian Function, Orbital Mechanics

Scientific paper

An intermediary orbit valid for small and moderate libration amplitude motions of inactive geosynchronous satellites around a stable equilibrium position is analytically built using automatic expansions of series on a computer. The solution is then compared to numerical simulations of the same problem. For a 70-deg libration amplitude motion, the accuracy is about 1 km on a time-span of order the long-period oscillation (about a thousand days).

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