Volume 10, Issue 3, August 2003, Pages 340 - 423
Generalisations of the LaplaceRungeLenz Vector
- P G L LEACH, G P FLESSAS
- Corresponding Author
- P G L LEACH
Available Online 9 December 2006.
- https://doi.org/10.2991/jnmp.2003.10.3.6How to use a DOI?
- 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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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 -