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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Classifying relative equilibria. I


Author: Julian I. Palmore
Journal: Bull. Amer. Math. Soc. 79 (1973), 904-908
MSC (1970): Primary 70F10; Secondary 57A65, 57D70
Part II: Bull. Amer. Math. Soc., Volume 81, Number 2 (1975), 489--491
MathSciNet review: 0321389
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References [Enhancements On Off] (What's this?)

  • 1. F. R. Moulton, The straight line solutions of the problem of 𝑛 bodies, Ann. of Math. (2) 12 (1910), no. 1, 1–17. MR 1503509, http://dx.doi.org/10.2307/2007159
  • 2. M. Shub, Appendix to Smale’s paper: “Diagonals and relative equilibria”, Manifolds – Amsterdam 1970 (Proc. Nuffic Summer School), Lecture Notes in Mathematics, Vol. 197, Springer, Berlin, 1971, pp. 199–201. MR 0278700 (43 #4430)
  • 3. S. Smale, Problems on the nature of relative equilibria in celestial mechanics., Manifolds – Amsterdam 1970 (Proc. Nuffic Summer School), Lecture Notes in Mathematics, Vol. 197, Springer, Berlin, 1971, pp. 194–198. MR 0278699 (43 #4429)
  • 4. S. Smale, Topology and mechanics. II. The planar 𝑛-body problem, Invent. Math. 11 (1970), 45–64. MR 0321138 (47 #9671)
  • 5. Aurel Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, v. 5, Princeton University Press, Princeton, N. J., 1941. MR 0005824 (3,215b)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13254-9
PII: S 0002-9904(1973)13254-9