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On the Brown Conjecture

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Part of the book series: NATO ASI Series ((ASIC,volume 154))

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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© 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

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8883-1

  • Online ISBN: 978-94-009-5398-7

  • eBook Packages: Springer Book Archive

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