Form invariance and Lie symmetry of variable mass nonholonomic mechanical system

2005 ◽  
Vol 26 (2) ◽  
pp. 204-209 ◽  
Author(s):  
Fang Jian-hui ◽  
Chen Pei-sheng ◽  
Zhang Jun
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Lie Symmetry ◽  
Form Invariance

scholarly journals Form invariance and Lie symmetry of relativistic mechanical system

2003 ◽  
Vol 52 (12) ◽  
pp. 2945
Author(s):  
Fang Jian-Hui ◽  
Chen Pei-Sheng ◽  
Zhang Jun ◽  
Li Hong
Keyword(s):  
Mechanical System ◽  
Lie Symmetry ◽  
Form Invariance

Form invariance and Lie symmetry of equations of non-holonomic systems

2002 ◽  
Vol 11 (1) ◽  
pp. 5-8 ◽  
Author(s):  
Wang Shu-Yong ◽  
Mei Feng-Xiang
Keyword(s):  
Lie Symmetry ◽  
Form Invariance ◽  
Holonomic Systems

scholarly journals On algebraic integrals of equations of motion of a complex mechanical system

2021 ◽  
pp. 29-36
Author(s):  
Nikolay Makeyev ◽  
Keyword(s):  
Mechanical System ◽  
Gravity Field ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Equation Of Motion ◽  
First Integrals ◽  
Mass Composition ◽  
Complex Mechanical System ◽  
Fixed Pole ◽  
Variable Configuration

Criteria for the existence of certain types of algebraic first integrals of the equation of motion of a mechanical system of variable mass composition and variable configuration are given. The carrier body of the system (base body) rotates around a fixed pole in a stationary homogeneous gravity field under the influence of specified nonstationary forces. The types of partial integrals are indicated and restrictions are established that determine their existence.

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