A recursive formulation of the short-periodic perturbations in equinoctial variables

Details A recursive formulation of the short-periodic perturbations in equinoctial variables A recursive formulation of the short-periodic perturbations in equinoctial variables

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978aiaa.conft....c&link_type=abstract

American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Palo Alto, Cali

Mathematics

Astrodynamics, Equinoxes, Orbit Perturbation, Perturbation Theory, Recursive Functions, Satellite Orbits, Artificial Satellites, Earth-Moon System, Equations Of Motion, Geopotential, Gravitational Effects, Gravitational Fields, Harmonic Functions, Orbit Calculation, Periodic Variations, Transformations (Mathematics)

Scientific paper

The Generalized Method of Averaging is used to develop compact expressions for the first order short-periodic variations in the equinoctial orbital elements. These expressions are very similar to the Variation-of-Parameter equations of motion and primary attention focuses on the development of a short-periodic generating function. The case of the arbitrary geopotential term is treated. Special results and recursive flows are provided for zonals, tesseral m-dailies, and tesseral short-periodics. These results are designed to provide very fast and efficient computational processes for comprehensive zonal and tesseral harmonic fields. An outline of a general treatment for lunar-solar effects is given and the short-periodics corresponding to the lunar-solar model of AIAA pre-print 75-9 are treated in more detail. The results of this paper, taken together with the first order averaged equations of motion and an accurate initialization process, provide a complete first-order semianalytical theory.

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