| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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The Method of Variation of Parameters for Solving a Dynamical System of Relative Motion |
| ZHANG Yi**
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College of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011
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| Cite this article: |
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ZHANG Yi 2011 Chin. Phys. Lett. 28 104501 |
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Abstract The integration method of a dynamical system of relative motion is studied, and the method of variation of parameters for the dynamical equations of relative motion is presented. First, the dynamic equations of relative motion are brought into the frame of generalized Birkhoffian systems and are expressed in the contravariant algebraic form. Second, an auxiliary system is constructed and its complete solution is found. Finally, the variation of parameters is given, and a complete solution of the problem is obtained by taking advantage of the properties of generalized canonical transformations. An example is given to illustrate the application of the results.
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| Keywords:
45.20.Jj
02.30.Hq
02.30.Rz
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Received: 14 February 2011
Published: 28 September 2011
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| PACS: |
45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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02.30.Hq
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(Ordinary differential equations)
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02.30.Rz
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(Integral equations)
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