Exponential instability of collision orbit in the anisotropic Kepler problem |
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Authors: | Haruo Yoshida |
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Institution: | (1) Department of Astronomy, Faculty of Sciences, University of Tokyo, Bunkyo-ku, 113 Tokyo, Japan;(2) Present address: Centre de Physique Theorique, Ecole Polytechnique, F-91128 Palaiseau, Cedex, France |
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Abstract: | The straight-line collision solution in the anisotropic Kepler problem is extended to a periodic solution by means of Sundman's analytic continuation. It is shown that this collision periodic solution is always exponentially unstable. |
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