Analytical stability in the Caledonian symmetric five-body problem

DOI10.1007/S10569-020-09994-0zbMath1470.70019OpenAlexW3108730501MaRDI QIDQ828894

N. E. Zubov

Publication date: 5 May 2021

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

Full work available at URL: https://doi.org/10.1007/s10569-020-09994-0

zbMATH Keywords

stellar dynamicscelestial mechanicsfive-body problemfew-body problemhierarchical stability

Mathematics Subject Classification ID

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

Cites Work

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• A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem
• The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation
• On the Occurrence of Commensurable Mean Motions in the Solar System: The Mirror Theorem
• Hill regions for the general three-body problem
• The effects of integrals on the totality of solutions of dynamical systems
• Bifurcation points in the planar problem of three bodies
• Numerical escape criteria for a symmetric four-body model
• The hierarchical stability of quadruple stellar and planetary systems using the Caledonian Symmetric Four-Body Model
• The Caledonian symmetrical double binary four-body problem. I: Surfaces of zero-velocity using the energy integral

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