Kustaanheimo-Stiefel regularization and nonclassical canonical transformations

Details Kustaanheimo-Stiefel regularization and nonclassical canonical transformations Kustaanheimo-Stiefel regularization and nonclassical canonical transformations

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15..353k&link_type=abstract

Celestial Mechanics, vol. 15, Apr. 1977, p. 353-365.

Mathematics

6

Canonical Forms, Coordinate Transformations, Differential Equations, Existence Theorems, Three Body Problem, Contours, Entire Functions, Independent Variables, Matrices (Mathematics), Singularity (Mathematics)

Scientific paper

This paper presents a method for constructing a transformation of coordinates in phase space yielding canonical equations. The general transformation, which does not necessarily yield a canonical system, has an arbitrary function in its right-hand sides. The cases when the transformed equations may be made canonical by appropriate choice of this function are established. The method is illustrated by means of the Kustaanheimo-Stiefel regularization and applied to the circular restricted three-body problem.

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