The first-order short-periodic motion of an artificial satellite due to third body perturbations - Numerical evaluation

Details The first-order short-periodic motion of an artificial satellite due to third body perturbations - Numerical evaluation The first-order short-periodic motion of an artificial satellite due to third body perturbations - Numerical evaluation

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984adans..54.1001s&link_type=abstract

IN: Astrodynamics 1983; Proceedings of the Conference, Lake Placid, NY, August 22-25, 1983. Part 2 (A84-30526 13-13). San Diego,

Mathematics

Geosynchronous Orbits, Lunar Gravitational Effects, Orbit Calculation, Periodic Functions, Satellite Perturbation, Three Body Problem, Eccentricity, Fourier Series, Kepler Laws, Legendre Functions, Orbital Position Estimation, Points (Mathematics), Recursive Functions

Scientific paper

Earlier work on the first-order short-periodic motion due to third body point mass gravitational attraction is extended. Simplified analytical expressions for the partial derivatives of the short-periodic generating function with respect to the equinoctial elements h and k are developed. A software implementation is performed and used to produce numerical results defining the performance characteristics of this short-periodic model for three different satellite orbital regimes. The accuracy of this model equals or exceeds that obtained with the Green model.

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