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

DOI10.1007/s13160-022-00539-6OpenAlexW4296591998WikidataQ114220248 ScholiaQ114220248MaRDI QIDQ2111570

Yuika Kajihara, Mitsuru Shibayama, Shota Iguchi

Publication date: 17 January 2023

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-022-00539-6

zbMATH Keywords

periodic orbitsvariational methodsHill problem

Mathematics Subject Classification ID

Three-body problems (70F07) Variational methods for problems in mechanics (70G75) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Cites Work

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• Families of periodic orbits in Hill's problem with solar radiation pressure: application to Hayabusa 2