Martin Lara
Published 2016-12-26Version 1
An implementation of the ideal frame formulation of perturbed Keplerian motion is presented which only requires the integration of a differential system of dimension 7, contrary to the 8 variables traditionally integrated with this approach. The new formulation is based on the integration of a scaled version of the Eulerian set of redundant parameters, and slightly improves runtime performance with respect to the 8 dimensional case while retaining comparable accuracy.
Element sets for high-order Poincaré mapping of perturbed Keplerian motion
Exploring the long-term dynamics of perturbed Keplerian motion in high degree potential fields
Invariant tori via higher order averaging method: existence, regularity, convergence, stability, and dynamics
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