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Oscillatory solutions in the planar restricted three-body problem

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References

  1. Abramowitz, M., Stegun, I.: Handbook of mathematical functions. New York: Dover 1965

    Google Scholar 

  2. Chazy, J.: Sur l'allure finale du mouvement dans le problème des trois corps quand le temps croit indefiniment. I. Ann. Ecole Norm. Sup.39, 29–130 (1922)

    Google Scholar 

  3. Erdélyi, A.: Asymptotic expansions. New York: Dover 1956

    Google Scholar 

  4. Llibre, J., Simó, C.: Some homoclinic phenomena in the three-body problem (to appear in J. Differential Equations)

  5. McGehee, R.: A stable manifold theorem for degenerate fixed points with applications to celestial mechanics. J. Differential Equations14, 70–88 (1973)

    Google Scholar 

  6. Moser, J.: Stable and random motion in dynamical systems. Princeton: University Press 1973

    Google Scholar 

  7. Szebehely, V.: Theory of orbits. London, New York: Academic Press 1967

    Google Scholar 

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Authors and Affiliations

  1. Secció de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, Spain

    Jaume Llibre

  2. Facultat de Matemàtiques, Universitat de Barcelona, Spain

    Carles Simó

Authors
  1. Jaume Llibre
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  2. Carles Simó
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Llibre, J., Simó, C. Oscillatory solutions in the planar restricted three-body problem. Math. Ann. 248, 153–184 (1980). https://doi.org/10.1007/BF01421955

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