Generalisations of the LaplaceRungeLenz vector
Abstract
The characteristic feature of the Kepler Problem is the existence of the socalled LaplaceRungeLenz vector which enables a very simple discussion of the properties of the orbit for the problem. It is found that there are many classes of problems, some closely related to the Kepler Problem and others somewhat remote, which share the possession of a conserved vector which plays a significant rôle in the analysis of these problems.
 Publication:

arXiv eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:mathph/0403028
 Bibcode:
 2004math.ph...3028L
 Keywords:

 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 Archive version is already official. Published by JNMP at http://www.sm.luth.se/math/JNMP/