Abstract
This problem is reducible to the integration of the Euler≡Chazy's differential equation. We give a new simplified version of the equation, and we interpret in the corresponding diagram the study of two extreme degenerate cases.
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Nahon, F. Trajectoires rectilignes du problème des 3 corps, lorsque la constante des forces vives est nulle. Celestial Mechanics 8, 169–175 (1973). https://doi.org/10.1007/BF01231410
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DOI: https://doi.org/10.1007/BF01231410