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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Kirchgraber, U.R.S. A problem of orbital dynamics, which is separable in KS-variables. Celestial Mechanics 4, 340–347 (1971). https://doi.org/10.1007/BF01231396
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DOI: https://doi.org/10.1007/BF01231396