Relative equilibria of the four-body problem

DOI10.1017/S0143385700003047zbMath0554.14004MaRDI QIDQ3216761

Richard Moeckel

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

algebraic correspondence between real algebraic varietiesbifurcation of relative equilibriaNewtonian 4-body problem

Mathematics Subject Classification ID

Rational and birational maps (14E05) (n)-body problems (70F10) Real algebraic and real-analytic geometry (14Pxx)

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Finiteness of relative equilibria of the four-body problem, On Clustering in Central Configurations, Reduced spaces and their relation to relative equilibria, Upper bounds for the number of isolated critical points via the Thom-Milnor theorem, A note on the geometry of the two-body problem on \(S^2\), Finiteness of central configurations of five bodies in the plane, Generic finiteness for a class of symmetric planar central configurations of the six-body problem and the six-vortex problem, Some counterexamples to a generalized Saari’s conjecture, Dynamics retrospective: Great problems, attempts that failed, Generic Finiteness for Dziobek Configurations, Linear stability of relative equilibria in the charged three-body problem, New families of periodic orbits in the 4-body problem emanating from a kite configuration, Central configurations and mutual differences, Central configurations of the planar \(1+N\) body problem, A continuum of relative equilibria in the five-body problem, Planar central configuration estimates in the n-body problem, Central configurations with many small masses, On the number of central configurations in the n-body problem, On central configurations, The number of planar central configurations is finite when $N-1$ mass positions are fixed

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