Orbits near central configurations for four equal masses |
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Authors: | Winston L Sweatman |
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Institution: | 1. Institute of Natural and Mathematical Sciences, Massey University, Auckland, New Zealand
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Abstract: | This study relates to equal-mass four-body orbits close to a quadruple central configuration. Locally, these orbits can be approximated by a perturbation from the homothetic quadruple collision/expansion orbit. Appropriate expressions are derived and the equal-mass four-body Siegel exponents and associated eigenmodes are presented. |
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