Statistics – Computation
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976aiaaj..14.1196s&link_type=abstract
(American Astronautical Society and American Institute of Aeronautics and Astronautics, Astrodynamics Specialist Conference, Nas
Statistics
Computation
2
Circular Orbits, Eccentric Orbits, Orbit Perturbation, Orbital Elements, Satellite Drag, Eccentricity, Error Analysis, Numerical Integration, Oblate Spheroids, Orbit Calculation, Perturbation Theory
Scientific paper
An improved theory is developed specifically for orbits of very small eccentricity (e = 0 to 0.01). Analytic expressions are derived which describe perturbation rates in orbit period, eccentricity, and perigee argument. The equations include the combined effects of earth flattening, oblate earth mass, and the diurnal bulge. Singularities and ambiguities encountered with existing theory are removed by employing mean orbital elements. Comparisons of analytical averaging with numerical integration methods demonstrate intrinsic perturbation accuracies to within 2%, with an accomplished improvement of two orders of magnitude in computation time.
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