On the periodic solutions emerging from the equilibria of the Hill lunar problem with oblateness

DOI10.1007/S12346-017-0233-4zbMATH Open1433.70017OpenAlexW2595539897MaRDI QIDQ1617217

Juan A. Vera, Raquel Martínez, M. Teresa de Bustos, Miguel A. López

Publication date: 7 November 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-017-0233-4

zbMATH Keywords

periodic solutionsLagrangian pointsaveraging theorydisturbing forcesHill lunar problem with oblateness

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Cites Work

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• On the perturbed restricted three-body problem
• Relative Equilibria in the 4-Vortex Problem Bifurcating from an Equilateral Triangle Configuration
• The spatial Hill lunar problem: periodic solutions emerging from equilibria
• On the periodic orbits of Hamiltonian systems
• THE PLANAR PHOTOGRAVITATIONAL HILL PROBLEM
• A Hill problem with oblate primaries and effect of oblateness on Hill stability of orbits

Related Items (5)

Numerical investigation on the Hill's type lunar problem with homogeneous potential ⋮ The linear symmetries of Hill's lunar problem ⋮ Periodic solutions around the out-of-plane equilibrium points in the restricted three-body problem with radiation and angular velocity variation ⋮ Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary ⋮ On the periodic orbits and the integrability of the regularized Hill lunar problem

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