{
  "abstract": "We report the first continuous families of stable, ballistic, prograde cycler orbits in the circular restricted three-body problem: periodic trajectories that alternately undergo temporary capture and orbit each primary. We construct continuous families of symmetric cyclers from intersections of the stable and unstable manifold tubes of the $L_1$ Lyapunov orbit and exhibit stable examples across more than two orders of magnitude in mass ratio, from the Sun-Jupiter regime to the equal-mass limit. Linear stability separates naturally into planar and out-of-plane components. A planar-stable branch of every computed family is created simultaneously with a hyperbolic branch in a saddle-center bifurcation of the return map at the family's maximal Jacobi constant, while out-of-plane instability occurs only through isolated parametric resonances. Every computed family contains a subfamily that is linearly stable to both planar and out-of-plane perturbations. These stable cyclers persist into the full three-body problem for sufficiently small third mass. We conjecture that saddle-center birth is universal among cycler families, suggesting that stable cyclers are a generic feature of three-body dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.29189",
  "author_total": 2,
  "authors": [
    {
      "name": "Shane D. Ross"
    },
    {
      "name": "Michael Roberts-Tsoukkas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5kb4de73q3935.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.29189",
  "fulltext_url": null,
  "id": "5kb4de73q3935",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.29189",
  "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",
      "astro-ph.EP"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "arxiv",
      "physics.class-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.29189",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5kb4de73q3935.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2606.29189",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.29189"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.EP",
      "subfield": "planetary"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Stable Ballistic Prograde Cyclers in the Three-Body Problem",
  "title_text": "Stable Ballistic Prograde Cyclers in the Three-Body Problem",
  "type": "preprint",
  "updated_at": "2026-11-07T18:20:05Z",
  "url": "https://research.draconitic.com/paper/5kb4de73q3935",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/6jy8-bls1",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}