Jordi-Lluís Figueras, Warwick Tucker, Piotr Zgliczynski
Published 2022-04-19Version 1
The aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial mechanics. The new approach allows for a very efficient computer-aided proof, and opens a potential pathway to proving harder instances of the n-body problem.
Nonlinear Stability of Relative Equilibria in Planar $N$-Vortex Problem
Relative equilibria in the 3-dimensional curved n-body problem
Reduction by invariants, stratifications, foliations, fibrations and relative equilibria, a short survey
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