The classical MICZ-Kepler problem is shown to be reducible to an isotropic two-dimensional system of linear harmonic oscillators and a conservation law in terms of new variables related to the Ermanno-Bernoulli constants and the components of the Poincare vector. An algorithmic route to linearization is shown based on Lie symmetry analysis and the reduction method [Nucci, J. Math. Phys. 37, 1772 (1996) ]. First integrals are also obtained by symmetry analysis and the reduction method [Marcelli and Nucci,J. Math. Phys. 44, 2111 (2002) ].
P. G. L. LEACH, NUCCI, M.C. (2004). Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator. JOURNAL OF MATHEMATICAL PHYSICS, 45(9), 3590-3604 [10.1063/1.1781748].
Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator
NUCCI, Maria Clara
2004
Abstract
The classical MICZ-Kepler problem is shown to be reducible to an isotropic two-dimensional system of linear harmonic oscillators and a conservation law in terms of new variables related to the Ermanno-Bernoulli constants and the components of the Poincare vector. An algorithmic route to linearization is shown based on Lie symmetry analysis and the reduction method [Nucci, J. Math. Phys. 37, 1772 (1996) ]. First integrals are also obtained by symmetry analysis and the reduction method [Marcelli and Nucci,J. Math. Phys. 44, 2111 (2002) ].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
