Open AccessConformal invariance, Mei symmetry and the conserved quantity of the Kepler equation
Author(s) -
Liu Hong-Wei,
Lingfei Li,
Yang Shi-Tong
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.200202
Subject(s) - conformal symmetry , kepler problem , conserved quantity , physics , symmetry (geometry) , angular momentum , infinitesimal , conformal map , mathematical physics , space (punctuation) , kepler , classical mechanics , mathematical analysis , mathematics , geometry , computer science , astrophysics , planet , operating system
In this paper, the conformal invariance and Mei symmetry of Kepler system under infinitesimal transformations are discussed in detail. The new conserved quantity of the system is given, which is different from the total energy and the angular momentum. The independences of these conserved quantities are discussed in the space which is composed of general ordinates and general speed.