Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 3, August 2003, Pages 340 - 423

Generalisations of the Laplace­Runge­Lenz Vector

Authors
P.G.L. Leach, G.P. Flessas
Corresponding Author
P.G.L. Leach
Received 17 October 2002, Revised 22 January 2003, Accepted 27 January 2003, Available Online 1 August 2003.
DOI
10.2991/jnmp.2003.10.3.6How to use a DOI?
Abstract

The characteristic feature of the Kepler Problem is the existence of the so-called 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 r^ole in the analysis of these problems.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 3
Pages
340 - 423
Publication Date
2003/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.3.6How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - P.G.L. Leach
AU  - G.P. Flessas
PY  - 2003
DA  - 2003/08/01
TI  - Generalisations of the Laplace­Runge­Lenz Vector
JO  - Journal of Nonlinear Mathematical Physics
SP  - 340
EP  - 423
VL  - 10
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.3.6
DO  - 10.2991/jnmp.2003.10.3.6
ID  - Leach2003
ER  -