Symmetric planar central configurations of five bodies: Euler plus two
From MaRDI portal
Publication:642339
DOI10.1007/s10569-009-9243-0zbMath1223.70031OpenAlexW1979386175MaRDI QIDQ642339
Publication date: 26 October 2011
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-009-9243-0
Related Items
Convex but not strictly convex central configurations ⋮ Planar central configurations of six bodies ⋮ Finiteness of polygonal relative equilibria for generalised quasi-homogeneous \(n\)-body problems and \(n\)-body problems in spaces of constant curvature ⋮ Spatial equilateral chain central configurations of the five-body problem with a homogeneous potential ⋮ New stacked central configurations for the planar 5-body problem ⋮ On the equilateral pentagonal central configurations ⋮ A family of stacked central configurations in the planar five-body problem ⋮ Three families of 5-body central configurations in the plane ⋮ A special family of stacked central configurations: Lagrange plus Euler in one ⋮ Strictly convex central configurations of the planar five-body problem ⋮ A limit of nonplanar 5-body central configurations is nonplanar ⋮ Open problem 1: Are Palmore's ``ignored estimates on the number of planar central configurations correct? ⋮ Non-Schubart periodic orbits in the rectilinear three-body problem ⋮ Generic finiteness for a class of symmetric planar central configurations of the six-body problem and the six-vortex problem ⋮ Spatial convex but non-strictly convex double-pyramidal central configurations of the \((2n+2)\)-body problem ⋮ Stacked central configurations in the 5-vortex problem ⋮ Five-body central configurations and symmetry ⋮ Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Central configurations of the five-body problem with two isosceles triangles ⋮ Central configurations in the five-body problem: rhombus plus one ⋮ Equilateral chains and cyclic central configurations of the planar five-body problem
Cites Work
- Unnamed Item
- New stacked central configurations for the planar 5-body problem
- Bifurcations and equilibria in the extended \(N\)-body ring problem
- Stacked central configurations for the spatial six-body problem
- On the spatial central configurations of the 5-body problem and their bifurcations
- Central configurations of the five-body problem with equal masses
- Linear stability of a self-gravitating ring
- The collinear central configuration of \(n\) equal masses
- A planar case of the \(n+1\) body problem: The ring problem
- On a paper of Moeckel on central configurations
- Mathematical problems for the next century
- Bifurcation of central configuration in the \(2N+1\) body problem
- Central configurations of the planar coorbital satellite problem
- On central configurations
- Homographic solutions in the planar \(n+1\) body problem with quasi-homogeneous potentials
- Seven-body central configurations: a family of central configurations in the spatial seven-body problem
- New central configurations for the planar 5-body problem
- On the role and the properties ofn body central configurations
- On Maxwell's (n+1)-Body Problem in the Manev-Type Field and on the Associated Restricted Problem
- On the classification of pyramidal central configurations
- NUMERICAL INVESTIGATION OF PERIODIC MOTION IN THE THREE-DIMENSIONAL RING PROBLEM OF N BODIES
- Stacked central configurations: new examples in the planar five-body problem
- Zero-velocity surfaces in the three-dimensional ring problem of \(N+1\) bodies.
