scholarly journals Non-Noether conserved quantity for relativistic nonholonomic controllable mechanical system with variable mass

2008 ◽  
Vol 57 (8) ◽  
pp. 4652
Author(s):  
Xia Li-Li ◽  
Li Yuan-Cheng
2004 ◽  
Vol 53 (12) ◽  
pp. 4041
Author(s):  
Fang Jian-Hui ◽  
Zhang Peng-Yu

Author(s):  
Nikolay Makeyev ◽  

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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