A minimizing property of hyperbolic Keplerian orbits |
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Authors: | Kuo-Chang Chen |
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Affiliation: | 1.Department of Mathematics,National Tsing Hua University,Hsinchu,Taiwan |
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Abstract: | In this short note, we characterize hyperbolic Keplerian orbits as minimizing paths of the Keplerian action functional in the space of curves from a ray emanating from the attractive focus to a point in space. Variants of this result have been previously proved by different methods. Our proof based on hyperbolic anomaly is simple and informative. |
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