Computer Science – Numerical Analysis
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jansc..30...75b&link_type=abstract
Journal of the Astronautical Sciences, vol. 30, Jan.-Mar. 1982, p. 75-84.
Computer Science
Numerical Analysis
5
Conics, Elliptical Orbits, Iterative Solution, Kepler Laws, Orbital Position Estimation, Algorithms, Computer Programs, Convergence, Newton Theory, Numerical Analysis
Scientific paper
General starting values for the iterative numerical solution of a universal Kepler's equation for position in a conic orbit at a specified time are investigated. Three starting values based on recent refinements of previously obtained bounds on the solution are derived and tested numerically. Of these, a simple starting value based on a cubic approximation to Kepler's equation provides the most rapid convergence using both first and second order Newton algorithms. The performance of the starting values are compared with similar studies which used the restricted case of elliptical orbits with the initial epoch at periapse.
Bergam M. J.
Prussing John E.
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