Adiabatic invariants for the nonconservative Kepler's problem

Details Adiabatic invariants for the nonconservative Kepler's problem Adiabatic invariants for the nonconservative Kepler's problem

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..523d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 4, p. 523-540.

Astronomy and Astrophysics

Astronomy

Adiabatic Equations, Celestial Mechanics, Equations Of Motion, Kepler Laws, Conservation Laws, Hamiltonian Functions, Orbit Calculation, Two Body Problem

Scientific paper

This paper considers adiabatic invariants for the classical Kepler problem with resisting forces. The analysis is based on the theory of integrating factors and theory of adiabatic invariants in the Krylov-Bogoliubov-Mitropolski variables. The adiabatic invariants are series with respect to a small parameter. Also, for every particular case of nonconservative forces, it is shown that, with a complete set of adiabatic invariants, an approximate solution of the problem can be obtained. Four problems are analyzed in detail where approximate solutions are compared with numerical.

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