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Nonintegrability of the n-center problem for $$n>2$$. (Russian) Zbl 0551.70008
Using topologic considerations the author proves theorems and lemmas (Maupertuis’ principle is a consequence of a lemma) demonstrating that the problem of n centers may be integrated, on the level of nonnegative energy, only in cases of Kepler and Euler.
Reviewer: B.D.Jovanovic

##### MSC:
 70F99 Dynamics of a system of particles, including celestial mechanics 37-XX Dynamical systems and ergodic theory