A group theoretical approach to a certain class of perturbations of the Kepler problem

Details A group theoretical approach to a certain class of perturbations of the Kepler problem A group theoretical approach to a certain class of perturbations of the Kepler problem

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985arrma..91...55k&link_type=abstract

Archive for Rational Mechanics and Analysis, Volume 91, Issue 1, pp.55-82

Physics

Scientific paper

We study a particular class of perturbations of the classical Kepler Hamiltonian, first in two, then in three and finally in n dimensions. At every stage of our investigation the group theoretical nature of our constructions is fully exposed. In particular we present a new regularization of the n-dimensional Kepler problem which is based on previous constructions of Guillemin & Sternberg (see [8]). This regularization is similarily related to Moser's (see [9]) as is Kustaanheimo-Stiefel's (see [4]) in three dimensions.

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