A numerical investigation of the one-dimensional Newtonian three-body problem

DOI10.1007/BF00052929zbMath0850.70098OpenAlexW3204441407MaRDI QIDQ1186232

Seppo Mikkola, Jarmo Hietarinta

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00052929

zbMATH Keywords

periodic orbitsthree-body problemcollinear motionstability of motion

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (11)

Chaos in the one-dimensional gravitational three-body problem ⋮ Symmetric Four-Body Problems ⋮ Periodic solutions with alternating singularities in the collinear four-body problem ⋮ The rectilinear three-body problem using symbol sequence. I: Role of triple collision ⋮ Existence of the Broucke periodic orbit and its linear stability ⋮ One-dimensional three-body problem via symbolic dynamics ⋮ Deformed supersymmetric oscillators ⋮ The rectilinear three-body problem ⋮ The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit ⋮ The rectilinear three-body problem using symbol sequence. II: Role of the periodic orbits ⋮ A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem

Cites Work

• Unnamed Item
• A numerical investigation of the one-dimensional Newtonian three-body problem. II: Positive energies
• Triple collision in the collinear three-body problem
• Numerical treatment of ordinary differential equations by extrapolation methods
• Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem
• A family of periodic solutions of the planar three-body problem, and their stability
• A regularization of the three-body problem
• Stability of interplay motions

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