Generalized Hojman conserved quantity deduced from generalized Lie symmetry of Appell equations for a variable mass mechanical system in relative motion | Zendy

Jia Li-Qun | Zendy; Sun Xian-Ting | Zendy; Meiling Zhang | Zendy; Yaoyu Zhang | Zendy; Han Yue-Lin | Zendy

Open Access

Generalized 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,

Sun Xian-Ting,

Meiling Zhang,

Yaoyu Zhang,

Han Yue-Lin

Publication year - 2014

Publication title -

acta physica sinica

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.

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