Numerical regularization of the Lagrange planetary equations.

Details Numerical regularization of the Lagrange planetary equations. Numerical regularization of the Lagrange planetary equations.

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ltdb.conf..117s&link_type=abstract

NATO Advanced Study Institute on Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems, p. 117 - 122

Mathematics

Dynamical Systems

Astrodynamics: Regularization, Artificial Satellites: Orbital Elements

Scientific paper

The use of regularization in the numerical integration of Lagrange's Planetary Equations for a specific set of orbital elements is discussed. Comparisons between the integration of the position and velocity with the integration of the orbital elements for various dynamical systems are made on the basis of the speed and accuracy of the integrations. In general it is recommended that singularities appearing in the zeroth order terms be removed with a time transformation to improve the accuracy of numerical integrations.

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