From Brake to Syzygy |
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| Authors: | Richard?Moeckel Richard?Montgomery Email author" target="_blank">Andrea?VenturelliEmail author |
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| Institution: | (1) Communications Research Laboratory, Hirai, Kashima Space Research Center, Kashima, Ibaraki, 314-0012, Japan;(2) National Astronomical Observatory, Mitaka, Tokyo, 181-8588, Japan |
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| Abstract: | In the planar three-body problem, we study solutions with zero initial velocity (brake orbits). Following such a solution
until the three masses become collinear (syzygy), we obtain a continuous, flow-induced Poincaré map. We study the image of
the map in the set of collinear configurations and define a continuous extension to the Lagrange triple collision orbit. In
addition, we provide a variational characterization of some of the resulting brake-to-syzygy orbits and find simple examples
of periodic brake orbits. |
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| Keywords: | |
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