The harmony in the Kepler and related problems
Nucci, M. C. ; Leach, P. G. L.
arXiv, 0011011 / Harvested from arXiv
Text on arXiv
The technique of reduction of order developed by Nucci ({\it J Math Phys} {\bf 37} (1996) 1772-1775) is used to produce nonlocal symmetries additional to those reported by Krause ({\it J Math Phys} {\bf 35} (1994) 5734-5748) in his study of the complete symmetry group of the Kepler Problem. The technique is shown to be applicable to related problems containing a drag term which have been used to model the motion of low altitude satellites in the Earth's atmosphere and further generalisations. A consequence of the application of this technique is the demonstration of the group theoretical relationship between the simple harmonic oscillator and the Kepler and related problems.
Publié le : 2000-11-06
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0011011,
     author = {Nucci, M. C. and Leach, P. G. L.},
     title = {The harmony in the Kepler and related problems},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0011011}
}

Nucci, M. C.; Leach, P. G. L. The harmony in the Kepler and related problems. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0011011/