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. . Ȼ 531.32 .. ...

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2018

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531.32

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E-mail: s.kochkin@narfu.ru , . .

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ON FINDING THE LAW OF ONE-DIMENSIONAL FINITE MOTION OF

A CLASSICAL PARTICLE ON THE SPECIFIED ENERGY DEPENDENCE OF THE PERIOD

OF OSCILLATIONS

Kochkin S.A .

In this paper we propose an approach to finding the law of motion of a particle that makes finite motion in an unknown external potential field according to the initially specified dependence of the period of finite motion on the particle energy. Exact and explicit solutions of the problem are obtained in two particular cases .

Keywords: law of motion, classical particle, oscillation period .

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