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Transactions of the American Mathematical Society

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A reduction of the three body problem by means of transformation groups

Author: James W. Sauve
Journal: Trans. Amer. Math. Soc. 119 (1965), 21-36
MSC: Primary 70.20
MathSciNet review: 0181143
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    R. Marcolongo, Il problema dei tre corpi, Ulrice Hoepli, Milan, 1919.
  • E. T. Whittaker, A treatise on the analytical dynamics of particles and rigid bodies: With an introduction to the problem of three bodies, Cambridge University Press, New York, 1959. 4th ed. MR 0103613
  • Aurel Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, vol. 5, Princeton University Press, Princeton, N. J., 1941. MR 0005824
  • E. R. Van Kampen and Aurel Wintner, On a Symmetrical Canonical Reduction of the Problem of Three Bodies, Amer. J. Math. 59 (1937), no. 1, 153–166. MR 1507227, DOI
  • L. Pontrjagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1939. Claude Chevally, Theory of Lie groups, Princeton Univ. Press, Princeton, N. J., 1946. Luigi Bianchi, Lezioni sulla teoria dei gruppi continui finiti di transformazioni, Pisa, 1918. S. Lie and G. Scheffers, Vorlesungen über Differentialgleichungen mit Bekanten Infinitesimalen Transformationen, Teubner, Leipzig, 1891.
  • Lawrence Markus, Quadratic differential equations and non-associative algebras, Contributions to the theory of nonlinear oscillations, Vol. V, Princeton Univ. Press, Princeton, N.J., 1960, pp. 185–213. MR 0132743
  • Abraham Cohen, An introduction to the Lie theory of one-parameter groups, Stechert, New York, 1931. (Original publication, 1911).

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Article copyright: © Copyright 1965 American Mathematical Society