A Problem of Orbital Dynamics, which is Separable in KS-Variables

Details A Problem of Orbital Dynamics, which is Separable in KS-Variables A Problem of Orbital Dynamics, which is Separable in KS-Variables

Dec 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cemec...4..340k&link_type=abstract

Celestial Mechanics, Volume 4, Issue 3-4, pp. 340-347

Physics

9

Scientific paper

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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