Classes of orbits in the main problem of satellite theory

Details Classes of orbits in the main problem of satellite theory Classes of orbits in the main problem of satellite theory

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..38..163m&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 38, Feb. 1986, p. 163-173.

Physics

Classifications, Orbit Calculation, Satellite Orbits, Collisions, Energy Levels, Oscillations

Scientific paper

The main problem in satellite theory restricted to the polar plane is considered. For suitable values of the energy the system has two unstable periodic orbits. The trajectories are classified in terms of their ultimate behavior with respect to these periodic orbits in oscillating, asymptotic, and capture orbits. The energy-level set and the existence and properties of these types of motion are studied.

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