Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems-Reference-Cited by-同舟云学术

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Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems

Published:2022-09-13 Issue:1 Volume:40 Page:513-524
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

Iguchi Shota,Kajihara Yuika,Shibayama Mitsuru

Funder

Japan Society for the Promotion of Science

Precursory Research for Embryonic Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

https://link.springer.com/content/pdf/10.1007/s13160-022-00539-6.pdf

Reference10 articles.

1. Arioli, G., Gazzola, F., Terracini, S.: Minimization properties of Hill’s orbits and applications to some N-body problems. Ann. Inst. H. Poincaré Anal. Non Linéaire 17, 617–650 (2000)

2. Chen, K.-C.: Variational constructions for some satellite orbits in periodic gravitational force fields. Am. J. Math. 132, 681–709 (2010)

3. Chenciner, A., Montgomery, R.: A remarkable periodic solution of the three-body problem in the case of equal masses. Ann. Math.(2) 152(2000), 881–901 (2000)

4. Kajihara, Y., Shibayama, M.: Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. Nonlinearity 35, 1431–1446 (2022)

5. Llibre, J., Martínez, R., Simó, C.: Tranversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near L2 in the restricted three-body problem. J. Differ. Equ. 58, 104–156 (1985)

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