Symplectic maps for the n-body problem

Details Symplectic maps for the n-body problem Symplectic maps for the n-body problem

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991aj....102.1528w&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 102, Oct. 1991, p. 1528-1538.

Other

514

Many Body Problem, Planetary Evolution, Pluto (Planet), Astronomical Maps, Gravitational Effects

Scientific paper

The 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.

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