Comet like periodic orbits in the N-body problem
نویسندگان
چکیده
منابع مشابه
Periodic Orbits of the N-Body Problem
We give a fast, accurate, and highly convergent algorithm for computing periodic orbits of the N-body problem. The Lindstedt-Poincaré technique from perturbation theory, Fourier interpolation, the dogleg strategy devised by Powell for trust region methods in unconstrained optimization, proper handling of the symmetries of the Hamiltonian, and a simple mechanism to eliminate high frequency error...
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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: Journal of Computational and Applied Mathematics
سال: 1994
ISSN: 0377-0427
DOI: 10.1016/0377-0427(94)90365-4