Vertical bifurcation families from the long and short period families around the equilateral equilibrium points

DOI10.1007/S10569-008-9147-4zbMath1254.70024OpenAlexW2017596660MaRDI QIDQ1931796

Xi-Yun Hou, Lin Liu

Publication date: 16 January 2013

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-008-9147-4

zbMATH Keywords

bifurcationperiodic orbitrestricted three-body problemequilateral equilibrium point

Mathematics Subject Classification ID

Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50)

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Cites Work

• Unnamed Item
• On families of periodic solutions of the restricted three-body problem
• Vertical stability of periodic solutions around the triangular equilibrium points
• The web of periodic orbits at \(L_4\)
• Periodic solutions of the restricted three-body problem for a small mass ratio
• Three-dimensional periodic orbits about the triangular equilibrium points of the restricted problem of three bodies

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