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Some Considerations on the Theoretical Determination of the Potential by the Motion of Artificial Satellites in the Plane Case

Published online by Cambridge University Press:  12 April 2016

J.J. Martinez-Benjamin
J.J. Martinez-Benjamin*
Affiliation:
The University of Texas at Austin and University of Barcelona

Abstract

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We consider the determination of the potential from the orbit of a satellite. The potential obtained is not unique because the satellite might describe the same orbit with different forces. The classical problem of determination of orbits has a unique solution, for given initial conditions. The problem is reduced to the planar case with a conservative force. The mathematical results depend on the arbitrary functions of the system of coordinates used.

Type
Part IV. Satellites of Jupiter and Saturn, and Artificial Satellites
Information
International Astronomical Union Colloquium , Volume 41: Dynamics of Planets and Satellites and Theories of their Motion , 1978 , pp. 259
Copyright
Copyright © Reidel 1978