Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the $$(n+2)$$-Body Problem

Author:

Baldomá Inmaculada,Fontich Ernest,Martín PauORCID

Funder

Agencia Estatal de Investigación

Publisher

Springer Science and Business Media LLC

Reference34 articles.

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2. Sitnikov, K.: The existence of oscillatory motions in the three-body problems. Sov. Phys. Dokl. 5, 647–650, 1960

3. Moser, J.: Stable and Random Motions in Dynamical Systems. With Special Emphasis on Celestial Mechanics, p. 198. Princeton University Press, Princeton, N. J, Hermann Weyl Lectures, the Institute for Advanced Study, p. 77. Princeton, N. J, Annals of Mathematics Studies, No (1973)

4. McGehee, R.: A stable manifold theorem for degenerate fixed points with applications to celestial mechanics. J. Differ. Equ. 14, 70–88, 1973

5. Baldomá, I., Fontich, E., Llave, R., Martín, P.: The parameterization method for one-dimensional invariant manifolds of higher dimensional parabolic fixed points. Discrete Contin. Dyn. Syst. 17(4), 835–865, 2007. https://doi.org/10.3934/dcds.2007.17.835

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