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Unified Symmetry of Nonholonomic System of Non-Chetaev's Type with Variable Mass in Event Space

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The unified symmetry of a nonholonomic system of non-Chetaev's type with variable mass in event space is studied. The differential equations of motion of the system are given. Then the definition and the criterion of the unified symmetry for the system are obtained. Finally, the Noether conserved quantity, the Hojman conserved quantity, and a new type of conserved quantity are deduced from the unified symmetry of the nonholonomic system of non-Chetaev's type with variable mass in event space at one time. An example is given to illustrate the application of the results.

event spacenonholonomic systemvariable massunified symmetryconserved quantity

HOU Qi-Bao、LI Yuan-Cheng、XIA Li-Li、WANG Jing

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College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

2007

Communications in theoretical physics

Communications in theoretical physics

SCI
ISSN:0253-6102
年,卷(期):2007.48(4)