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Comparison of starting values for iterative solutions to a universal Kepler's equationGeneral 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.
Document ID
19820045719
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Bergam, M. J.
(California Institute of Technology, Jet Propulsion Laboratory, Navigation Systems Section, Pasadena CA, United States)
Prussing, J. E.
(Illinois, University Urbana, IL, United States)
Date Acquired
August 10, 2013
Publication Date
March 1, 1982
Publication Information
Publication: Journal of the Astronautical Sciences
Volume: 30
Subject Category
Astronomy
Accession Number
82A29254
Distribution Limits
Public
Copyright
Other

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