New orbits for the n-body problem.

Abstract:

:In this paper, we consider minimizing the action functional as a method for numerically discovering periodic solutions to the n-body problem. With this method, we can find a large number of choreographies and other more general solutions. We show that most of the solutions found, including all but one of the choreographies, are unstable. It appears to be much easier to find unstable solutions to the n-body problem than stable ones. Simpler solutions are more likely to be stable than exotic ones.

journal_name

Ann N Y Acad Sci

authors

Vanderbei RJ

doi

10.1196/annals.1311.024

subject

Has Abstract

pub_date

2004-05-01 00:00:00

pages

422-33

eissn

0077-8923

issn

1749-6632

pii

1017/1/422

journal_volume

1017

pub_type

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