Now showing items 1-3 of 3
Orbit propagation with Lie transfer maps in the perturbed Kepler problem
(Springer Science+Business Media B.V., 2003-02)
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 ...
Computation of error effects in nonlinear Hamiltonian systems using Lie algebraic methods
(American Institute of Physics, 1992-06)
There exist Lie algebraic methods for obtaining transfer maps around any given trajectory of a Hamiltonian system. This paper describes an iterative procedure for finding transfer maps around the same trajectory when the ...
The Main Problem in Satellite Theory Revisited
(Springer Science+Business Media B.V., 2000)
Abstract. Using the elimination of the parallax followed by the Delaunay normalization, we present a procedure for calculating a normal form of the main problem (J2 perturbation only) in satellite theory. This procedure ...