Semianalytic satellite theory

Details Semianalytic satellite theory Semianalytic satellite theory

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989stin...9023444o&link_type=abstract

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Mathematics

Artificial Satellites, Equations Of Motion, Numerical Integration, Gravitational Fields, Harmonics, Mathematical Models, Moon, Resonance, Sun

Scientific paper

The equations of motion for artificial Earth satellites are solved by semianalytic techniques. The force model includes an arbitrary gravity field for the Earth as well as Moon and Sun. All tesseral harmonics are examined for the presence of resonance. Any resonant term is classified according to its period and amplitude. Those exhibiting deep resonance (long-periodic) are integrated numerically. Shallow resonance terms (intermediate period) are evaluated analytically. Additional tests decide whether short-periodic terms are discarded or calculated analytically. Primary variables of the theory are the non-singular Poincare elements.

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