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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References
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© 1985 D. Reidel Publishing Company
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Garfinkel, B. (1985). On the Brown Conjecture. In: Szebehely, V.G. (eds) Stability of the Solar System and Its Minor Natural and Artificial Bodies. NATO ASI Series, vol 154. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5398-7_3
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DOI: https://doi.org/10.1007/978-94-009-5398-7_3
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