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Note concerning a conjecture by A. Wintner

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Abstract

The conjecture mentioned in the title is concerned with the existence of non-flat central configurations ofN point masses; it was put forward in A. Wintner's ‘Analytical Foundations of Celestial Mechanics’ (1941), §360 (iii), p. 279.

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References

  • Moulton, F. R.: 1910, ‘The Straight Line Solutions of the Problem ofN-Bodies’,Annals of Math. 12, 1–17.

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  • Smale, S.: 1970, ‘Topology and Mechanics II. The PlanarN-Body Problem’,Inventiones Math. 11, 45–64.

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  • Wintner, A.: 1941,Analytical Foundations of Celestial Mechanics, Princeton University Press.

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Authors and Affiliations

  1. The University of Texas at Austin, Tex., USA

    J. Waldvogel (Assistant Professor, Department of Aerospace Engineering and Engineering Mechanics)

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  1. J. Waldvogel
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Waldvogel, J. Note concerning a conjecture by A. Wintner. Celestial Mechanics 5, 37–40 (1972). https://doi.org/10.1007/BF01227821

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  • DOI: https://doi.org/10.1007/BF01227821

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