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Symplectic maps for the n-body problemThe present study generalizes the mapping method of Wisdom (1982) to encompass all gravitational n-body problems with a dominant central mass. The rationale for the generalized mapping method is discussed as well as details for the mapping for the n-body problem. Some refinements of the method are considered, and the relationship of the mapping method to other symplectic integration methods is shown. The method is used to compute the evolution of the outer planets for a billion years. The resulting evolution is compared to the 845 million year evolution of the outer planets performed on the Digital Orerry using standard numerical integration techniques. This calculation provides independent numerical confirmation of the result of Sussman and Wisdom (1988) that the motion of the planet Pluto is chaotic.
Document ID
19910069505
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Wisdom, Jack
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Holman, Matthew
(MIT Cambridge, MA, United States)
Date Acquired
August 14, 2013
Publication Date
October 1, 1991
Publication Information
Publication: Astronomical Journal
Volume: 102
ISSN: 0004-6256
Subject Category
Physics (General)
Accession Number
91A54128
Funding Number(s)
CONTRACT_GRANT: NAGW-706
CONTRACT_GRANT: NSF AST-88-57365
Distribution Limits
Public
Copyright
Other

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