Open AccessNon－Noether conserved quantity of a general form for mechanical systems with variable mass
Author(s) -
Jianhui Fang,
Liao Yong-Pan,
Jun Zhang
Publication year - 2004
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.53.4037
Subject(s) - noether's theorem , conserved quantity , infinitesimal , variable (mathematics) , symmetry (geometry) , mathematical physics , mathematics , pure mathematics , physics , lagrangian , classical mechanics , mathematical analysis , geometry
In this paper, we study the non-Noether conserved quantity of Lie symmetry for m echanical systems with variable mass under a general infinitesimal transformatio n. The Hojman theorem is further generalized. The non-Noether conserved qu antity o f a general form for mechanical systems with variable mass is obtained. An examp le is given to illustrate the application of the result.