A minimizing property of eulerian solutions |
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| Authors: | Shiqing Zhang Qing Zhou |
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| Institution: | (1) College of Mathematics and Science, Shanghai Normal University, Shanghai, 200234, China;(2) Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200030, China |
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| Abstract: | In this paper, we prove that the elliptical solutions and collision ejection solutions with the Eulerian collinear configuration
for planar 3-body problems are the variational minimizers of the Lagrangian action restricted on a suitable loop space. |
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| Keywords: | 3-body problems Eulerian solutions Lagrangian action |
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