Abstract
The Lie symmetries and conserved quantities of the rotational relativistic holonomic and nonholonomic systems were studied. By defining the infinitestinal transformations' generators and by using the invariance of the differential equations under the infinitesimal transformations, the determining equations of Lie symmetries for the rotational relativistic mechanical systems are established. The structure equations and the forms of conserved quantities are obtained. An example to illustrate the application of the results is given.
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Communicated by Lin Zongchi
Foundation item: the National Natural Science Foundation of China (19972010); Natural Science Foundation of Henan Province (934060800, 984053100)
Biography: Fu Jingli (1955-)
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Jingli, F., Xiangwei, C. & Shaokai, L. Lie symmetries and conserved quantities of rotational relativistic systems. Appl Math Mech 21, 549–556 (2000). https://doi.org/10.1007/BF02459036
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DOI: https://doi.org/10.1007/BF02459036