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First integrals and integral invariants for variable mass nonholonomic system in noninertial reference frames

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Abstract

The first integrals and their conditions of existence for variable mass nonholonomic system in noninertial reference frames are obtained, and the canonical equations and the variation equations of the system are extended. It is proved that using the first integral we can construct the integral invariant of the system. Finally, a series of deductions and an example are given.

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Communicated by Zhang Shi-shen

Project supported by the Natural Science Foundation of He’nan Province

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Shao-kai, L. First integrals and integral invariants for variable mass nonholonomic system in noninertial reference frames. Appl Math Mech 15, 147–154 (1994). https://doi.org/10.1007/BF02451049

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  • DOI: https://doi.org/10.1007/BF02451049

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