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Second-order p-iterative solution of the Lambert/Gauss problemAn algorithm is presented for efficient p-iterative solution of the Lambert/Gauss orbit-determination problem using second-order Newton iteration. The algorithm is based on a universal transformation of Kepler's time-of-flight equation and approximate inverse solutions of this equation for short-way and long-way flight paths. The approximate solutions provide both good starting values for iteration and simplified computation of the second-order term in the iteration formula. Numerical results are presented which indicate that in many cases of practical significance (except those having collinear position vectors) the algorithm produces at least eight significant digits of accuracy with just two or three steps of iteration.
Document ID
19850036523
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Boltz, F. W.
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 12, 2013
Publication Date
December 1, 1984
Publication Information
Publication: Journal of the Astronautical Sciences
Volume: 32
ISSN: 0021-9142
Subject Category
Astrodynamics
Accession Number
85A18674
Distribution Limits
Public
Copyright
Other

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