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The mapping of Kaula's solution into the orbital reference frame
Authors:Stefano Casotto
Institution:(1) Center for Space Research, The University of Texas at Austin, 78712 Austin, TX, USA;(2) Present address: the European Space Operations Centre (ESOC) of the European Space Agency, Darmstadt, Germany
Abstract:Kaula's celebrated solution to the problem of satellite motion in the gravitational field of a rigid body is transformed to give the perturbation spectra in both position and velocity in the radial, transverse and normal directions of the orbital reference frame. This work is an extension and a refinement of the theory of orbital perturbations due to the geopotential previously published by Rosborough and Tapley (1987).
Keywords:Satellite theory  Kaula's solution  radial  transverse  normal perturbations
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