On the Brown conjecture |
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Authors: | Boris Garfinkel |
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Institution: | (1) Department of Astronomy, Yale University, New Haven, CT, USA |
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Abstract: | In 1911 E. W. Brown conjectured that the family of long-periodic orbits in the Trojan case of the restricted problem of three bodies terminates in an asymptotic orbit that passes through the Langrangian point L3 for t=±. The paper refutes this conjecture analytically, thereby confirming the previously published numerical refutation by Henrard (1983). |
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