Stabilized Kepler motion connected with analytic step adaptation

Details Stabilized Kepler motion connected with analytic step adaptation Stabilized Kepler motion connected with analytic step adaptation

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13..105b&link_type=abstract

Celestial Mechanics, vol. 13, Feb. 1976, p. 105-109. Research supported by the Deutsche Forschungsgemeinschaft.

Physics

Hamiltonian Functions, Kepler Laws, Motion Stability, Orbital Mechanics, Numerical Integration, Numerical Stability, Orbit Perturbation, Orbital Elements

Scientific paper

Baumgarte and Stiefel (1974) proposed a stabilization of Keplerian motion by making use of a manipulation of the Hamiltonian. By this stabilization technique, the given Hamiltonian is replaced by a new one, which leads to Lyapunov-stable differential equations of motion. Whereas the physical time was used as the independent variable in the cited paper, a generalization is developed in the present paper which allows the stabilization to be combined with the introduction of a new independent variable, s. Such a fictitious time, s, is advantageous for achieving an analytic step-size adaptation. Perturbations of Keplerian motion are discussed.

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