On the Integrabillity of the N Body Problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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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.

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