Numerical investigation of the planar restricted three-bodyproblem

DOI10.1007/BF01261880zbMath0346.70009MaRDI QIDQ4116098

V. V. Markellos

Publication date: 1974

Published in: Celestial Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (15)

Periodic orbits in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ Low-energy transfers to cislunar periodic orbits visiting triangular libration points ⋮ Transfers from distant retrograde orbits to low lunar orbits ⋮ Numerical investigation of the planar restricted three-body problem ⋮ Periodic orbits of the planetary type and their stability ⋮ Some families of periodic oscillations in the restricted problem with small mass-ratios of three bodies ⋮ Critical generating orbits for second species periodic solutions of the restricted problem ⋮ Numerical determination of three-dimensional periodic orbits generated from vertical self-resonant satellite orbits ⋮ Three-dimensional branchings of plane periodic solutions ⋮ Periodic motions in the meridian plane of a magnetic dipole, I ⋮ Periodic motions in the meridian plane of a magnetic dipole, II ⋮ The structure of periodic solutions in the restricted problem of three bodies ⋮ Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem ⋮ Hill stability of satellite orbits ⋮ Multiple periodic orbits in the Hill problem with oblate secondary

Cites Work

• Unnamed Item
• A grid search for families of periodic orbits in the restricted problem of three bodies
• Numerical investigation of the planar restricted three-body problem
• On some new long periodic solutions of the plane restricted three body problem
• On the use of the Jacobi Integral of the Restricted Three-body Problem

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