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arXiv · 2610.25750

On the Hausdorff dimension of oscillatory motions in three-body problems

Anton Gorodetski·Vadim Kaloshin
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Abstract

We show that for the Sitnikov example and for the restricted planar circular 3-body problem the set of oscillatory motions often has maximal Hausdorff dimension. Also, we construct Newhouse domains for both problems.

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Anton Gorodetski, Vadim Kaloshin. 2026-10-19. On the Hausdorff dimension of oscillatory motions in three-body problems. https://arxiv.org/abs/2610.25750

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