Uniform bifurcation of comet-type periodic orbits in the restricted \((n + 1)\)-body problem with non-Newtonian homogeneous potential

DOI10.1016/j.jde.2023.03.051OpenAlexW4364378090WikidataQ121265410 ScholiaQ121265410MaRDI QIDQ2698330

Carlos Barrera-Anzaldo

Publication date: 21 April 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.03.051

zbMATH Keywords

Lagrangian systemscentral force problemcomet-type solutionsrestricted \((n + 1)\)-body problem

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Qualitative theory for ordinary differential equations (34Cxx) Dynamics of a system of particles, including celestial mechanics (70Fxx)

Cites Work

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• A smooth pseudo-gradient for the Lagrangian action functional
• Some Rigorous Results on the 1:1 Resonance of the Spin-Orbit Problem
• Global Aspects of Classical Integrable Systems

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