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A Toolbox for Nonlinear Dynamics
Using the main problem of artificial satellite theory as an illustration, we review several developments which have had a significant impact on research in nonlinear dynamics. On the mathematical front, we point to the ...
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 ...
Automatic Rendering of Astrodynamics Expressions for Efficient Evaluation
(American Astronautical Society, 1998)
In this paper, we describe the automatic rendering of expressions computed using symbolic manipulation. Computations from astrodynamics frequently can be put in a fixed hierarchy of polynomials and Fourier series. Once ...
Symbolic and Parallel Computation in Celestial Mechanics
(Society for Industrial and Applied Mathematics, 1996)
One aspect of celestial mechanics is the computation of the long-term orbits of celestial bodies. This type of computation is complicated by the interaction of the many bodies that need to be considered to derive accurate ...