Orbit Propagation with Lie Transfer Maps in the Perturbed Kepler Problem

Details Orbit Propagation with Lie Transfer Maps in the Perturbed Kepler Problem Orbit Propagation with Lie Transfer Maps in the Perturbed Kepler Problem

Feb 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cemda..85..175h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 85, Issue 2, p. 175-207 (2003).

Astronomy and Astrophysics

Astronomy

Lie Transformation, Orbit Propagation, Computer Algebra

Scientific paper

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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