Abstract
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.Δ 12) 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\(\gamma _k \xrightarrow[{k \to + \infty }]{} + \infty \).
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Babadzanjanz, L.K. Existence of the continuations in theN-body problem. Celestial Mechanics 20, 43–57 (1979). https://doi.org/10.1007/BF01236607
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DOI: https://doi.org/10.1007/BF01236607