Stabilization of Kepler's problem

Details Stabilization of Kepler's problem Stabilization of Kepler's problem

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16...27s&link_type=abstract

Celestial Mechanics, vol. 16, Sept. 1977, p. 27-34.

Mathematics

1

Kepler Laws, Liapunov Functions, Numerical Stability, Orbit Perturbation, Perturbation Theory, Canonical Forms, Hamiltonian Functions, Manifolds (Mathematics)

Scientific paper

A regularization of Kepler's problem due to Moser (1970) is used to
stabilize the equations of motion. In other words, a particular solution
of Kepler's problem is imbedded in a Liapunov stable system.
Perturbations can be introduced into the stabilized equations.

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