Kohn's theorem and Newton-Hooke symmetry for Hill's equations

Autor:	Zhang, P. M., Gibbons, G. W., Horvathy, P. A.
Rok vydání:	2011
Předmět:	High Energy Physics - Theory Astrophysics - Galaxy Astrophysics General Relativity and Quantum Cosmology Mathematical Physics
Zdroj:	Phys. Rev. {\bf D85} (2012) 045031
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.85.045031
Popis:	Hill's equations, which first arose in the study of the Earth-Moon-Sun system, admit the two-parameter centrally extended Newton-Hooke symmetry without rotations. This symmetry allows for extending Kohn's theorem about the center-of-mass decomposition. Particular light is shed on the problem using Duval's "Bargmann" framework. The separation of the center-of-mass motion into that of a guiding center and relative motion is derived by a generalized chiral decomposition. Comment: Published version. 22 pages 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1112.4793 Zobrazit plný text záznamu View this record from Arxiv