Unstable periodic orbits in a rotationally symmetric potential |
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Authors: | T. A. Agekyan V. V. Orlov N. Yu. Kretser |
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Affiliation: | (1) Astronomical Institute, St. Petersburg State University, Bibliotechnaya pl. 2, Petrodvorets, 198904, Russia |
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Abstract: | We derive an equation to determine the coordinates of the points at which unstable periodic orbits emerge from a zero-velocity contour in an arbitrary rotationally symmetric potential. Examples of such orbits are given for several model potentials. |
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Keywords: | nstable periodic orbits rotationally symmetric potential |
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