Hip-hop solutions of the \(2N\)-body problem
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Publication:850691
DOI10.1007/s10569-006-9016-yzbMath1219.70029OpenAlexW2122566717MaRDI QIDQ850691
Conxita Pinyol, Esther Barrabés, Josep Maria Cors, Jaume Soler
Publication date: 6 November 2006
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-006-9016-y
Related Items (10)
Periodic Oscillations in a \(2{N}\) -Body Problem ⋮ Periodic oscillations in the restricted hip-hop \(2N+1\)-body problem ⋮ Symmetric constellations of satellites moving around a central body of large mass ⋮ Unchained polygons and the \(N\) -body problem ⋮ CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR -BODY CHOREOGRAPHIES ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Highly eccentric hip-hop solutions of the \(2N\)-body problem ⋮ Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem ⋮ Local minimality properties of circular motions in \(1/r^\alpha\) potentials and of the figure-eight solution of the 3-body problem ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem
Cites Work
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- Symmetric trajectories for the \(2N\)-body problem with equal masses
- Librations of central configurations and braided Saturn rings
- The equation for the vertical variations of a relative equilibrium as a source of new periodic solutions of the \(N\) body problem.
- Simple Choreographic Motions of N Bodies: A Preliminary Study
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
- Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: `Hip-hop' orbits
- A remarkable periodic solution of the three-body problem in the case of equal masses
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