Other
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978aiaa.conf.....b&link_type=abstract
American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Palo Alto, Cali
Other
2
Eccentric Orbits, Kepler Laws, Orbit Calculation, Orbital Mechanics, Algorithms, Computer Techniques, Cubic Equations, Elliptical Orbits, Hyperbolas, Iterative Solution, Parabolas, Power Series, Space Shuttle Orbiters, Time Measurement
Scientific paper
Gauss' method for solving Kepler's equation is extended to arbitrary epochs and orbital eccentricities. Although originally developed for near parabolic orbits in the vicinity of pericenter, a generalization of the method leads to a highly efficient algorithm which compares favorably to other methods in current use. A key virtue of the technique is that convergence is obtained by a method of successive substitutions with an initial approximation that is independent of the orbital parameters. The equations of the algorithm are universal, i.e., independent of the nature of the orbit whether elliptic, hyperbolic, parabolic or rectilinear.
Battin Richard H.
Fill T. J.
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