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Bulletin of the American Mathematical Society

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Triple collisions in the isosceles 3-body problem


Authors: Ernesto A. Lacomba and Lucette Losco
Journal: Bull. Amer. Math. Soc. 3 (1980), 710-714
MSC (1970): Primary 58F05, 70F05; Secondary 58F15
MathSciNet review: 571374
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  • 1. Robert L. Devaney, Triple collision in the planar isosceles three-body problem, Invent. Math. 60 (1980), no. 3, 249–267. MR 586428, 10.1007/BF01390017
  • 2. Robert Easton, The topology of the regularized integral surfaces of the 3-body problem, J. Differential Equations 12 (1972), 361–384. MR 0345132
  • 3. D. Eschbach, La collision triple du problème des trois corps, 3rd cycle doctoral thesis, Besançon, France, 1979.
  • 4. Richard McGehee, Triple collision in the collinear three-body problem, Invent. Math. 27 (1974), 191–227. MR 0359459
  • 5. Harry Pollard, Celestial mechanics, Mathematical Association of America, Washington, D. C., 1976. Carus Mathematical Monographs, No. 18. MR 0434057
  • 6. Carlos Simó, Masses for which triple collision is regularizable, Proceedings of the Sixth Conference on Mathematical Methods in Celestial Mechanics (Math. Forschungsinst., Oberwolfach, 1978), Part I, 1980, pp. 25–36. MR 564605, 10.1007/BF01230243
  • 7. Carles Simó, Analysis of triple collision in the isosceles problem, Classical mechanics and dynamical systems (Medford, Mass., 1979) Lecture Notes in Pure and Appl. Math., vol. 70, Dekker, New York, 1981, pp. 203–224. MR 640127
  • 8. S. Smale, Topology and mechanics. I, Invent. Math. 10 (1970), 305–331. MR 0309153

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DOI: https://doi.org/10.1090/S0273-0979-1980-14802-8