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Record 52 of 646
Second-order p-iterative solution of the Lambert/Gauss problem. [algorithm for efficient orbit determination]
Author and Affiliation:
Boltz, F. W.(NASA Ames Research Center, Moffett Field, CA, United States)
Abstract: An 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.
Publication Date: Dec 01, 1984
Document ID:
19850036523
(Acquired Nov 28, 1995)
Accession Number: 85A18674
Subject Category: ASTRODYNAMICS
Document Type: Journal Article
Publication Information: Journal of the Astronautical Sciences (ISSN 0021-9142); 32; 475-485
Publisher Information: United States
Financial Sponsor: NASA; United States
Organization Source: NASA Ames Research Center; Moffett Field, CA, United States
Description: 11p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: ITERATIVE SOLUTION; KEPLER LAWS; ORBIT CALCULATION; ORBITAL MECHANICS; TRAJECTORY ANALYSIS; ALGORITHMS; ECCENTRIC ORBITS; ERROR ANALYSIS; FLIGHT PATHS; FLIGHT TIME; GAUSS EQUATION; NEWTON THEORY
Imprint And Other Notes: Journal of the Astronautical Sciences (ISSN 0021-9142), vol. 32, Oct.-Dec. 1984, p. 475-485.
Availability Source: Other Sources
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