The restricted three body problem on surfaces of constant curvature

DOI10.1016/J.JDE.2018.06.007zbMath1421.70013OpenAlexW2805375582WikidataQ129719613 ScholiaQ129719613MaRDI QIDQ1671232

Jaime Andrade, Ernesto Pérez-Chavela, Claudio Vidal

Publication date: 6 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.06.007

zbMATH Keywords

periodic solutionsKAM toriHamiltonian formulationaveraging theorysurfaces of constant curvaturethe restricted three body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems methods for problems in mechanics (70G60)

Related Items (5)

Regularization of the circular restricted three body problem on surfaces of constant curvature ⋮ Equilibrium points in restricted problems on S2 and H2 ⋮ On the restricted \((N + 1)\)-body problem on surfaces of constant curvature ⋮ Stability, periodic solution and KAM tori in the circular restricted \((N+1)\)-body problem on \({\mathbb{S}}^3\) and \({\mathbb{H}}^3\) ⋮ Hyperbolic regularization of the restricted three-body problem on curved spaces

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