{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25750",
  "author_total": 2,
  "authors": [
    {
      "name": "Anton Gorodetski"
    },
    {
      "name": "Vadim Kaloshin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ax660apsypnw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25750",
  "fulltext_url": null,
  "id": "5ax660apsypnw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25750",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.25750",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ax660apsypnw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25750",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25750"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On the Hausdorff dimension of oscillatory motions in three-body problems",
  "title_text": "On the Hausdorff dimension of oscillatory motions in three-body problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5ax660apsypnw",
  "venue": "arXiv",
  "versions": []
}