A problem of orbital dynamics,which is separable in KS-variables |
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Authors: | U R S Kirchgraber |
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Affiliation: | (1) Seminar für Angewandte Mathematik, ETH, Zürich, Switzerland |
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Abstract: | The motion of a rocket (with constant thrust) in the gravitational field of a mass point is studied. As is well known, the two dimensional version of this problem is separable in Levi-Civitavariables. It is shown here that, for the three dimensional case, the KS-variables produce the separability. A closed solution is found by using elliptic functions. Equivalent problems are mentioned. |
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