Abstract
We announce several theorems on the evolution of relative equilibria classes in the planar n-body problem. In an earlier paper [1] we announced a partial classification of relative equilibria of four equal masses. In [2] we described these new relative equilibria classes and showed the way in which a degeneracy arose in the four body problem. These results point the way toward classifying relative equilibria for any n > 4.
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PalmoreJ., Bull. Amer. Math. Soc. 79, 904 (1973). MR 47 No 9922.
Palmore, J., ‘Relative Equilibria of the n-Body Problem’, Thesis, University of California, Berkeley, Calif., 1973.
PalmoreJ., Bull. Amer. Math. Soc. 81, 489 (1975).
Palmore, J., ‘Measure of Degenerate Relative Equilibria. I’, preprint, 1975.
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Research supported in part by NSF grant MPS-73-03735 A04.
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Palmore, J.I. Classifying relative equilibria. III. Lett Math Phys 1, 71–73 (1975). https://doi.org/10.1007/BF00405589
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DOI: https://doi.org/10.1007/BF00405589