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arXiv:1303.0181physics.class-ph

Three Classes of Newtonian Three-Body Planar Periodic Orbits

Milovan Šuvakov, V. Dmitrašinović

Abstract

We present the results of a numerical search for periodic orbits of three equal masses moving in a plane under the influence of Newtonian gravity, with zero angular momentum. A topological method is used to classify periodic three-body orbits into families, which fall into four classes, with all three previously known families belonging to one class. The classes are defined by the orbits geometric and algebraic symmetries. In each class we present a few orbits initial conditions, 15 in all; 13 of these correspond to distinct orbits.

arXiv comments
to be published in Phys. Rev. Lett.; 4 pages, 1 figure; for associated web gallery of solutions, see http://suki.ipb.ac.rs/3body
Journal reference
Phys. Rev. Lett. 110, 114301 (2013)
DOI
doi:10.1103/PhysRevLett.110.114301
Subjects
physics.class-phClassical Physics

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  1. Periodic Planar Three-Body Orbits 2 comments

    • I googled the name of the first set of orbits and found this https://arxiv.org/pdf/1303.0181.pdf

      6gvONxR4sf7oView on HNParent context

    • Routine plea: please link to abstracts (Šuvakov and Dmitrašinović - Three classes of Newtonian three-body planar periodic orbits - https://arxiv.org/abs/1303.0181) rather than directly to PDFs. (It is an easy click to get from abstract to PDF, but not vice versa.)

      JadeNBView on HNParent context

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