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Minimally classifying relative equilibria

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Abstract

Estimates on a minimal classification of relative equilibria in the planarn-body problem of celestial mechanics have been announced in [1], [2]. Our main theorem asserts that these estimates are actually met for anyn≧3 on an open set in IR supninf+ . For anyn≧4, this open set is proper.

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References

  1. PalmoreJ.I.,Bull. Am. Math. Soc. 81, 489–491 (1975);MR 50, No. 15514.

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  2. PalmoreJ.I.,Letters Math. Phys. 1, 119–123 (1975).

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  3. Palmore, J.I., ‘Measure of Degenerate Relative Equilibria, I’,Annals of Math., to appear.

  4. SmaleS.,Manifolds-Amsterdam 1970 (Proc. Nuffic Summer School),Lectures Notes in Math., Vol. 197, Springer, Berlin, 1971, pp. 194–198;MR 43, No. 4429.

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Authors and Affiliations

  1. Dept. of Mathematics, The University of Michigan, 48109, Ann Arbor, Mich, U.S.A.

    Julian I. Palmore

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  1. Julian I. Palmore
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Research supported in part by NSF Grant MCS 13-08818 A03.

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Palmore, J.I. Minimally classifying relative equilibria. Lett Math Phys 1, 395–399 (1977). https://doi.org/10.1007/BF01793953

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  • DOI: https://doi.org/10.1007/BF01793953

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