Computer Science
Scientific paper
Dec 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12..397r&link_type=abstract
Celestial Mechanics, vol. 12, Dec. 1975, p. 397-407.
Computer Science
3
Celestial Mechanics, Many Body Problem, Orbit Calculation, Power Series, Satellite Orbits, Equations Of Motion, Error Analysis, Orbital Mechanics, Run Time (Computers), Spherical Harmonics, Three Body Problem, Two Body Problem
Scientific paper
The power series method is used to calculate the orbits of earth satellites and is applied to the n-body problem. It is shown that this method is not as efficient - in terms of computing speed vs accuracy - as eighth or higher order Gauss-Jackson methods for generating satellite trajectories when spherical harmonic terms or a sophisticated atmospheric model must be included in the equations of motion. The power series method competes well with Gauss-Jackson methods for generating trajectories for two-body problems, including comets, certain restricted three-body problems, and n-body problems where n is small.-
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