Stabilization by Modification of the Langrangian

Details Stabilization by Modification of the Langrangian Stabilization by Modification of the Langrangian

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13..247b&link_type=abstract

Celestial Mechanics, Volume 13, Issue 2, pp.247-251

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5

Scientific paper

In order to reduce the error growth during a numerical integration, a method of stabilization, of the differential equations of the Keplerian motion is offered. It is characterized by the use of the eccentric anomaly as independent variable in such a way that the time transformation is given by a generalized Lagrange formalism. The control terms in the equations of motion obtained by this modified Lagrangian give immediately a completely Lyapunov-stable set of differential equations. In contrast to other publications, here the equation of time integration is modified by a control term which leads to an integral which defined the time element for the perturbed Keplerian motion.

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