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physics.class-ph2015★ 23 cited
Topological Dependence of Kepler's Third Law for Collisionless Periodic Three-Body Orbits with Vanishing Angular Momentum and Equal Masses
V. Dmitrašinović, Milovan Šuvakov
We present results of numerical calculations showing a three-body orbit's period's dependence on its topology. This dependence is a simple linear one, when expressed in terms o…
physics.class-ph2013★ 127 cited
Three Classes of Newtonian Three-Body Planar Periodic Orbits
Milovan Šuvakov, V. Dmitrašinović
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 top…