Integrability of the n-centre problem at high energies
classification
🧮 math.DS
math-phmath.MPnlin.CD
keywords
highintegrablen-centreproblemanalyticcentrescompletelyconfiguration
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It is shown that for generic configuration of the centres at high energy levels the n-centre problem is completely integrable by using $C^\infty$ integrals of the motion however it is not integrable in terms of real analytic functions
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