Orbit Propagation with Lie Transfer Maps in the Perturbed Kepler Problem |
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Authors: | Liam M Healy |
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Institution: | (1) Naval Research Laboratory, Code 8233, Washington, DC, 20375-5355, U.S.A., e-mail |
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Abstract: | The Lie transfer map method may be applied to orbit propagation problems in celestial mechanics. This method, described in another paper, is a perturbation method applicable to Hamiltonian systems. In this paper, it is used to calculate orbits for zonal perturbations to the Kepler (two-body) problem, in both expansion in the eccentricity and closed form. In contrast with a normal form method like that of Deprit, the Lie transformations here are used to effect a propagation of phase space in time, and not to transform one Hamiltonian into another. |
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Keywords: | Lie transformation orbit propagation computer algebra |
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