Stabilization and time transformation in connection with the Kepler problem

Details Stabilization and time transformation in connection with the Kepler problem Stabilization and time transformation in connection with the Kepler problem

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gmmwj..58..386v&link_type=abstract

(Gesellschaft für angewandte Mathematik und Mechanik, Wissenschaftliche Jahrestagung, Lyngby, Denmark, May 31-June 3, 1977.) Zei

Mathematics

Celestial Mechanics, Kepler Laws, Numerical Stability, Time Functions, Transformations (Mathematics), Differential Equations, Eccentricity, Liapunov Functions, Step Functions

Scientific paper

Questions concerning the stabilization or stability of differential equations have been considered by Baumgarte and Stiefel (1974). A method described by Stiefel and Scheifele (1971) can be used to perform time transformations in the homogeneous Hamiltonian formalism. This method is employed to obtain a Hamilton function which, when transformed with respect to action and angle variables, is linear regarding the action variables. The frequencies of the system are now a priori constants and stable equations of motion can be obtained.

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