New Orbits for then-Body Problem
نویسندگان
چکیده
منابع مشابه
New orbits for the n-body problem.
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 t...
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Since the discovery of the figure-8 orbit for the three-body problem [Moore 1993] a large number of periodic orbits of the n-body problem with equal masses and beautiful symmetries have been discovered. However, most of those that have appeared in the literature are either planar or are obtained from perturbations of planar orbits. Here we exhibit a number of new three-dimensional periodic n-bo...
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ژورنال
عنوان ژورنال: Annals of the New York Academy of Sciences
سال: 2004
ISSN: 0077-8923,1749-6632
DOI: 10.1196/annals.1311.024