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Variational principle for the problem of small oscillations

 

作者: A. L. Salas Brito,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 11  

页码: 1012-1014

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13778

 

出版商: American Association of Physics Teachers

 

关键词: VARIATIONAL METHODS;ORBITS;OSCILLATIONS;DYNAMICAL SYSTEMS;EQUATIONS OF MOTION

 

数据来源: AIP

 

摘要:

The problem of the motions of a system in the neighborhood of one of the orbits of the same system is formulated using a variational principle. The linearized equations of motion of the deviations from the orbit are obtained from it. As an example of the use of this approach the conditions for the stability of a plane orbit are derived.

 

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