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Acceleration-dependent Lagrangians in classical mechanics

Ding Guang-Tao

Acceleration-dependent Lagrangians in classical mechanics

Ding Guang-Tao
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Publishing process
  • Received Date:  01 September 2008
  • Accepted Date:  22 October 2008
  • Published Online:  05 March 2009

Acceleration-dependent Lagrangians in classical mechanics

  • 1. 安徽师范大学物理与电子信息学院,芜湖 241000

Abstract: The linear acceleration-dependent Lagrangians are studied. Under the symmetric conditions of coefficients in acceleration terms, the Lagrange's equations remain second-order differential equations. The approach to constructing an acceleration-dependent Lagrangian from its equations of motion is presented. The relations between the acceleration-dependent Lagrangians and the acceleration independent ones of the same system are studied. Two examples are given to illustrate the application of the results.

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