Volume 10, Issue 3, August 2003, Pages 340 - 423
Generalisations of the LaplaceRungeLenz Vector
P G L LEACH, G P FLESSAS
P G L LEACH
Received 17 October 2002, Revised 22 January 2003, Accepted 27 January 2003, Available Online 1 August 2003.
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- 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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TY - JOUR AU - P G L LEACH AU - G P FLESSAS PY - 2003 DA - 2003/08 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 - https://doi.org/10.2991/jnmp.2003.10.3.6 ID - LEACH2003 ER -