Families of periodic orbits in the planar three-body problem
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Publication:4072921
DOI10.1007/BF01230210zbMath0313.70011MaRDI QIDQ4072921
Th. Christides, John D. Hadjidemetriou
Publication date: 1975
Published in: Celestial Mechanics (Search for Journal in Brave)
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Periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries is an oblate body ⋮ Angular Momentum and Topological Dependence of Kepler’s Third Law in the Broucke-Hadjidemetriou-Hénon Family of Periodic Three-Body Orbits ⋮ Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body ⋮ On ``generalized Kepler's third law and mass dependence of periods of three-body orbits ⋮ The rectilinear three-body problem as a basis for studying highly eccentric systems ⋮ A guide to hunting periodic three-body orbits with non-vanishing angular momentum ⋮ On the continuation of periodic orbits from the restricted to the general three-body problem ⋮ Families of periodic planetary-type orbits in the three-body problem and their stability ⋮ Periodic three body orbits in the case of small third mass ⋮ Families of periodic orbits in the general three-body problem for the Sun-Jupiter-Saturn mass-ratio and their stability ⋮ Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler’s third law: a numerical test ⋮ A family of periodic solutions of the planar three-body problem, and their stability ⋮ Numerical continuation of Hamiltonian relative periodic orbits ⋮ Three-dimensional periodic motion of three finite masses around collinear equilibrium configurations ⋮ Families of periodic collision orbits in the general three-body problem ⋮ A new family of periodic orbits for the restricted problem ⋮ Theoretical periodic orbits in 3-dimensional Hamiltonians
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