Dziobek's configurations in restricted problems and bifurcation

DOI10.1007/s10569-004-0415-7zbMath1143.70004OpenAlexW2005109704MaRDI QIDQ1766273

Alan Almeida Santos

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1007/s10569-004-0415-7

zbMATH Keywords

symmetriescentral configurationsrestricted 5-body problem

Mathematics Subject Classification ID

(n)-body problems (70F10) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (10)

On the central configurations in the spatial 5-body problem with four equal masses ⋮ Counting central configurations at the bifurcation points ⋮ Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws ⋮ Symmetry of planar four-body convex central configurations ⋮ Symmetry of the restricted \(4+1\) body problem with equal masses ⋮ New central configurations of the \((n + 1)\)-body problem ⋮ New central configurations for the planar 5-body problem ⋮ On stacked central configurations with \(n\) bodies when one body is removed ⋮ Central configurations of the five-body problem with equal masses ⋮ Dziobek configurations of the restricted (N + 1)-body problem with equal masses

Cites Work

• The \(n\)-body problem and mutual distances
• Four-body central configurations with some equal masses
• Bifurcations of relative equilibria in the 4- and 5-body problem
• On the role and the properties ofn body central configurations
• Relative equilibrium solutions in the four body problem
• Central configurations of four bodies with one inferior mass

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