SECOND-ORDER SOLUTION FOR THE ZONAL PROBLEM OF SATELLITE THEORY |
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Authors: | S?awomir Breiter |
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Institution: | (1) Astronomical Observatory, A. Mickiewicz University, Słoneczna 36, PL 60-286 Poznań, Poland |
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Abstract: | The analytical solution for the perturbations of an artificial satellite due to the zonal part of the geopotential is presented.
The Hamiltonian is fully normalized up to the second order by a single averaging transformation and the generating function
is given explicitly. The formulas allow an arbitrarily high degree of geopotential harmonics to be included. The transformation
from mean to osculating variables or vice versa is performed by means of a numerical method proposed by the author in a previous
paper (Breiter,1997): periodic perturbations are computed by means of a Runge-Kutta method of order 2 instead of being explicitly
derived from a generator.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | Artificial satellites perturbation methods Lie serie |
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