an:03878404
Zbl 0551.70008
Bolotin, S. V.
Nonintegrability of the n-center problem for \(n>2\)
RU
Vestn. Mosk. Univ., Ser. I 1984, No. 3, 65-68 (1984).
00164568
1984
j
70F99 37-XX
topologic considerations; Maupertuis' principle; nonnegative energy; cases of Kepler and Euler
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.
B.D.Jovanovic