The method of obtaining the estimates of the maximalt-interval (ω₋,ω₊) on which the solution of theN-body problem exists and which is such that some fixed mutual distance (e. g.Δ₁₂) exceeds some fixed non-negative lower bound, for allt contained in (ω₋,ω₊), is considered. For given masses and initial data, the increasing sequences of the numbersγ_k, each of which provides the estimateω₊ >γ_k, are constructed. It appears that ifω₊ = +∞, then\(\gamma _k \xrightarrow[{k \to + \infty }]{} + \infty \).

Authors and Affiliations

1. University of Leningrad, U. S. S. R.

   L. K. Babadzanjanz

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