Open AccessGeneralized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion
Author(s) -
Jia Li-Qun,
Xiaoqiang Sun,
Zhang Mei-Ling,
Yaoyu Zhang,
Yazhou Han
Publication year - 2014
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.63.010201
Subject(s) - conserved quantity , symmetry (geometry) , mathematical physics , holonomic constraints , holonomic , infinitesimal , variable (mathematics) , equations of motion , motion (physics) , physics , relative motion , classical mechanics , mathematics , mathematical analysis , quantum mechanics , geometry
Generalized Lie symmetry and generalized Hojman conserved quantity of Appell equations for a variable mass holonomic system in relative motion are studied. The determining equation of generalized Lie symmetry of Appell equations for a variable mass holonomic system in relative motion under the infinitesimal transformations of groups is given. The expression of generalized Hojman conserved quantity deduced directly from generalized Lie symmetry for a variable mass holonomic system in relative motion is gained. Finally, the problem of dynamical system with three degree of freedom is studied by using the results of this paper.