A global regularisation for integrating the Caledonian symmetric four-body problem

DOI10.1007/S10569-010-9270-XzbMath1291.70031OpenAlexW2085998910MaRDI QIDQ990354

Bonnie A. Steves, Anoop Sivasankaran, Winston L. Sweatman

Publication date: 31 August 2010

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9270-x

zbMATH Keywords

restricted four-body problemregularisationclose encountersCaledonian symmetrical four-body problem

Mathematics Subject Classification ID

(n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (8)

Symmetric Four-Body Problems ⋮ Some results on the global dynamics of the regularized restricted three-body problem with dissipation ⋮ Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Stability of the rhomboidal symmetric-mass orbit ⋮ The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit ⋮ On the C ^8/3-regularisation of simultaneous binary collisions in the planar four-body problem ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem

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