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Regularization of the circular restricted three-body problem using `similar' coordinate systems

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Publication:422298
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DOI10.1007/s10509-011-0899-zzbMath1270.85005arXiv1110.4743OpenAlexW3100043881MaRDI QIDQ422298

J. Herrera, H. S. Yoon

Publication date: 16 May 2012

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4743

zbMATH Keywords

methods: regularizationrestricted problems: restricted problem of three bodiesstellar systems: binary stars


Mathematics Subject Classification ID

Three-body problems (70F07) Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10)


Related Items

Local regularization of a restricted problem on \(H^2\) with primaries on hyperbolic motion



Cites Work

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  • Some results on the global dynamics of the regularized restricted three-body problem with dissipation
  • `Similar' coordinate systems and the Roche geometry: application
  • Quaternions and the perturbed Kepler problem
  • Dynamics of close binary systems
  • A slow-down treatment for close binaries
  • Global regularization of the restricted problem of three bodies
  • Symplectic regularization of binary collisions in the circularN+2 Sitnikov problem
  • BURRAU'S PROBLEM OF THREE BODIES
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