KustaanheimoStiefel Regularization and nonclassical canonical transformations.
Abstract
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 righthand members. 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 KustaanheimoStiefel Regularization and applied to the circular restricted three body problem.
 Publication:

Celestial Mechanics
 Pub Date:
 April 1977
 DOI:
 10.1007/BF01228427
 Bibcode:
 1977CeMec..15..353K
 Keywords:

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