Journal of Nonlinear Mathematical Physics

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
Available Online 9 December 2006.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 3
Pages
340 - 423
Publication Date
2006/12
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2003.10.3.6How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - P G L LEACH
AU  - G P FLESSAS
PY  - 2006
DA  - 2006/12
TI  - Generalisations of the Laplace­Runge­Lenz Vector
JO  - Journal of Nonlinear Mathematical Physics
SP  - 340
EP  - 423
VL  - 10
IS  - 3
SN  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2003.10.3.6
DO  - https://doi.org/10.2991/jnmp.2003.10.3.6
ID  - LEACH2006
ER  -