An Extremal Property of Orbits in the Solar System


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Abstract

In this paper it is shown that the semi-major axes of the orbits of neighboring planets and of the orbits of large satellites of some planets in the Solar system are close to the orbit radii in the optimal solutions of the problem on a single-impulse transfer in a planetary system from a circular orbit to infinity with a gravitational maneuver.

About the authors

V. A. Proshkin

Moscow State University, Faculty of Mechanics and Mathematics

Author for correspondence.
Email: proschkin@mail.ru
Russian Federation, Leninskie Gory, Moscow, 119899

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