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Relative equilibria of the four-body problem

Published online by Cambridge University Press:  19 September 2008

Richard Moeckel
Richard Moeckel
Affiliation:
School of Mathematics, University of Minnesota-Twin Cities, Minneapolis, MN 55455, USA
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Abstract

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By employing a regularizing transformation, the problem of bifurcation of relative equilibria in the Newtonian 4-body problem is reduced to a study of an algebraic correspondence between real algebraic varieties. The finiteness theorems of algebraic geometry are used to find an upper bound for the number of affine equivalence classes of relative equilibria which holds for all masses in the complement of a proper, algebraic subset of the space of all masses.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 3 , September 1985 , pp. 417 - 435
Copyright
Copyright © Cambridge University Press 1985

References

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