You can download:
KeplerBook.zip The Table of Contents, in Postscript format, of the book
The Kepler Problem
Group Aspects, Regularization and Quantization
With an Application to the Study of Perturbations
by Birkhauser Ė Basel.
The book is a comprehensive treatment of the Kepler problem, i.e. the two body problem. It is divided into four parts. In the first part the arguments are exposed elementarily and the properties of the problem are recovered in a purely computational way; this part is written at an undergraduate student level. In the second part a unifying point of view, originally due to the author, is presented which centers the exposition on the intrinsic group-geometrical aspects. This part requires more mathematical background which is presented in the fourth part, where we review the basic tools of differential geometry and analytical mechanics used in the book. The third part exploits some results of the second part to give a geometrical description of the perturbation theory of the Kepler problem. Each of the four parts, which are to some extent independent, could form the basis for a one-semester course.
Kepler.zip A program for Win95/98/NT/XP which calculates and displays the effects of a generic perturbation of the Kepler problem. The installation does not touch any registry or file of the system.
Euler.zip A program, written in MAPLE language, which calculates analytically and displays the motion of a point under the gravitational force of two fixed centers.
Poincare.zip A program, written in MAPLE language, implementing the method exposed in the article Geometry of Poincaré's variables and the secular planetary problem in press on Celestial Mechanics and Dynamical Astronomy.
3Body2D.zip A program, written in MATHEMATICA lamguage, implementing the method exposed in the article Global study of the 2D secular 3-body problem in press on Regular and chaotical dynamics.
Hpf.zip A program, written in MATHEMATICA lamguage, implementing the method exposed in the article Global study of the 2D secular 3-body problem in press on Regular and chaotical dynamics.
To contact the author for criticisms, comments, suggestions or other