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Part of the book series: NATO ASI Series ((ASIC,volume 246))

Abstract

We have studied the bifurcations of the main families of periodic orbits in the restricted three-body problem in the case of equal masses (µ=0.5). These are the families a,b,c,f,h,g,i,k,l and n (the families a,f,g are symmetric to b,h,i, respectively). We have studied these families near the critical points (Hénon 1965) b1, b2,b3,b26,b27 for the family b (where the subscript 2 means double periodic orbits), c1,c2,c5 for the family c, h5,h26,h29 for the family h, i3, for the family i, k2 for the family k, ℓ1,ℓ2, for the family ℓ and n2, n23,n24 for the family n, and we found the families that bifurcate from the above at the critical points.

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© 1988 Kluwer Academic Publishers

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Pinotsis, A.D. (1988). Bifurcations and Instabilities in the Restricted Three-Body Problem. In: Roy, A.E. (eds) Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems. NATO ASI Series, vol 246. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3053-7_42

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  • DOI: https://doi.org/10.1007/978-94-009-3053-7_42

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7873-3

  • Online ISBN: 978-94-009-3053-7

  • eBook Packages: Springer Book Archive

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