Central configurations of four bodies with an axis of symmetry

DOI10.1007/s10569-016-9672-5zbMath1342.74052OpenAlexW2339736205MaRDI QIDQ531151

Bálint Érdi, Zalán Czirják

Publication date: 3 August 2016

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

Full work available at URL: https://doi.org/10.1007/s10569-016-9672-5

zbMATH Keywords

analytical solutionsfour-body problemcentral configurations

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Celestial mechanics (70F15)

Related Items

Planar central configurations with five different positive masses ⋮ Some enumeration problems on central configurations at the bifurcation points ⋮ Some notes on four-body co-circular central configurations ⋮ Inverse problem of central configurations in the collinear 5-body problem ⋮ Super central configurations in the collinear 5-body problem ⋮ On the four-body problem in the Born-Oppenheimer approximation ⋮ Five-body central configurations and symmetry ⋮ Tangential trapezoid central configurations ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Classifying four-body convex central configurations ⋮ Trapezoid central configurations ⋮ Hjelmslev quadrilateral central configurations ⋮ Four-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability. IV ⋮ Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl (7)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Splendid isolation: local uniqueness of the centered co-circular relative equilibria in the \(N\)-body problem
• On the central configurations of the planar 1 + 3 body problem
• The symmetric central configurations of the 4-body problem with masses \(m_1 = m_2 \neq m_3 = m_4\)
• Finiteness of central configurations of five bodies in the plane
• Inverse problem of central configurations and singular curve in the collinear 4-body problem
• Central configurations for the planar Newtonian four-body problem
• Finiteness of relative equilibria of the four-body problem
• Classification of four-body central configurations with three equal masses
• Finiteness and bifurcations of some symmetrical classes of central configurations
• Mathematical problems for the next century
• Four-body central configurations with some equal masses
• Convex central configurations for the \(n\)-body problem
• Planar symmetric concave central configurations in Newtonian four-body problems
• Central configurations for \((pN+gN)\)-body problems
• On the central configurations of the planar restricted four-body problem
• Topology and mechanics. II: The planar \(n\)-body problem
• Convex four-body central configurations with some equal masses
• Isosceles trapezoid central configurations of the Newtonian four-body problem
• Four-body co-circular central configurations
• Symmetry of planar four-body convex central configurations
• Permanent Configurations in the Problem of Four Bodies