Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986pazh...12..557s&link_type=abstract
Pis'ma v Astronomicheskii Zhurnal, Vol. 12:7, P. 557, 1986
Astronomy and Astrophysics
Astronomy
Scientific paper
The equations of motion of the N-body problem in the domain of large energies outside close approaches are integrated exactly: the existence of a solution in an infinite time interval is proved; the qualitative behaviour of the phase flow is established; the sequence is constructed which converges locally-uniformly to the solution on the time axis multiplied by the initial data domain having a simple structure. The unification of such domains has an infinite volume.
Kholshevnikov Konstantin V.
Sokolov L. L.
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