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On an efficient and accurate method to integrate restricted three-body orbitsThis work is a quantitative analysis of the advantages of the Bulirsch-Stoer (1966) method, demonstrating that this method is certainly worth considering when working with small N dynamical systems. The results, qualitatively suspected by many users, are quantitatively confirmed as follows: (1) the Bulirsch-Stoer extrapolation method is very fast and moderately accurate; (2) regularization of the equations of motion stabilizes the error behavior of the method and is, of course, essential during close approaches; and (3) when applicable, a manifold-correction algorithm reduces numerical errors to the limits of machine accuracy. In addition, for the specific case of the restricted three-body problem, even a small eccentricity for the orbit of the primaries drastically affects the accuracy of integrations, whether regularized or not; the circular restricted problem integrates much more accurately.
Document ID
19890051327
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Murison, Marc A. (Wisconsin, University Madison, United States)
Date Acquired
August 14, 2013
Publication Date
May 1, 1989
Publication Information
Publication: Astronomical Journal
Volume: 97
ISSN: 0004-6256
Subject Category
ASTRODYNAMICS
Funding Number(s)
CONTRACT_GRANT: NAS5-26777
Distribution Limits
Public
Copyright
Other