Jacobi-Maupertius metric and Kepler equation

Autor:	Chanda, Sumanto, Gibbons, G. W., Guha, Partha
Rok vydání:	2016
Předmět:	Mathematical Physics General Relativity and Quantum Cosmology 70H06 53D25 53B20 70F16
Druh dokumentu:	Working Paper
DOI:	10.1142/S0219887817300021
Popis:	This article studies the application of the Jacobi-Eisenhart lift, Jacobi metric and Maupertius transformation to the Kepler system. We start by reviewing fundamentals and the Jacobi metric. Then we study various ways to apply the lift to Kepler related systems: first as conformal description and Bohlin transformation of Hooke's oscillator, second in contact geometry, third in Houri's transformation (Houri, Liouville integrability of Hamiltonian systems and spacetime symmetry, http://www.geocities.jp/football\_physicien/publication.html), coupled with Milnor's construction (Milnor, The American Mathematical Monthly 90 (1983) 353-365) with eccentric anomaly. Comment: 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.07395 Zobrazit plný text záznamu View this record from Arxiv