scientific article

zbMath1325.70026arXiv1404.4459MaRDI QIDQ3451004

Tiancheng Ouyang, Duokui Yan

Publication date: 10 November 2015

Full work available at URL: https://arxiv.org/abs/1404.4459

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zbMATH Keywords

three-body problemoscillationvariational methodspatial isosceles orbit

Mathematics Subject Classification ID

Three-body problems (70F07) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (9)

A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem ⋮ Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions ⋮ New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses ⋮ Linear stability of double-double orbits in the parallelogram four-body problem ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem ⋮ New periodic orbits in the planar equal-mass five-body problem ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses ⋮ Classification of periodic orbits in the planar equal-mass four-body problem

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