Abstract
In the three-dimensional restricted three-body problem, the existence of resonant periodic solutions about L4 is shown and expansions for them are constructed for special values of the mass parameter, by means of a perturbation method. These solutions form a second family of periodic orbits bifurcating from the triangular equilibrium point. This bifurcation is the evolution, as µ varies continuously, of a regular vertical bifurcation point on the corresponding family of planar periodic solutions emanating from L4.
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References
Buck, T.: 1920, in F.R. Moulton, Periodic Orbits, Carnegie Inst. of Washington, J. Reprint Co., p. 299
Markellos, V.V.: 1977, Monthly Notices Roy. Astron. Soc. 180, 103
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© 1983 D. Reidel Publishing Company, Dordrecht, Holland
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Zagouras, C.G., Markellos, V.V. (1983). Resonant Three-Dimensional Periodic Solutions about the Triangular Equilibrium Points in the Restricted Problem. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_27
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DOI: https://doi.org/10.1007/978-94-009-7214-8_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7216-2
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