Critical points of the integral map of the charged 3-body problem

Hoveijn, I., Waalkens, H. & Zaman, M., Jan-2019, In : Indagationes Mathematicae. 30, 1, p. 165-196

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  • Critical points of the integral map of the charged three-body problem

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This is the first in a series of three papers where we study the integral manifolds of the charged three-body problem. The integral manifolds are the fibers of the map of integrals. Their topological type may change at critical values of the map of integrals. Due to the non-compactness of the integral manifolds one has to take into account besides `ordinary' critical points also critical points at infinity. In the present paper we concentrate on `ordinary' critical points and in particular elucidate their connection to central configurations. In a second paper we will study critical points at infinity. The implications for the Hill regions, i.e. the projections of the integral manifolds to configuration space, are the subject of a third paper.
Original languageEnglish
Pages (from-to)165-196
JournalIndagationes Mathematicae
Issue number1
Early online date1-Oct-2018
Publication statusPublished - Jan-2019


  • math.DS, 37J15, 37J35, 53D20, 70F07, 70H33

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