{
  "abstract": "Motivated by the peculiar features of the trans-Neptunian object (TNO) Máni and the discovery of ring systems around Centaurs and trans-Neptunian bodies, we investigate the stability of particles around a small irregular body hosting a deep equatorial crater. This study is the third contribution in a sequence devoted to the dynamics around non-spherically symmetric bodies. Using Máni as a reference model, whose crater depth exceeds 10% of its radius, we map the system stability through complementary methods: Poincaré surfaces of section (PSS), survival maps, and the finite-time Lyapunov exponent (FTLE). In the nominal case, the $1\\!:\\!1$, $2\\!:\\!1$, $3\\!:\\!1$, and $4\\!:\\!1$ spin-orbit resonances (SORs) are consistently identified by all techniques. The prominent $3\\!:\\!1$ SOR exhibits a bifurcated structure at high eccentricities, matching structural transitions observed at lower Jacobi constant values in the PSSs. Increasing the rotation rate ($λ$) and crater mass ratio ($μ$) enlarges resonance widths and promotes overlap, making the $2\\!:\\!1$ and $4\\!:\\!1$ SORs progressively dominant. Lower rotation rates allow stable trajectories to persist at higher eccentricities, whereas the $1\\!:\\!1$ SOR is highly sensitive to stronger perturbations and disappears in the most extreme cases. In contrast to mass-anomaly models, which can clear the region interior to the $2\\!:\\!1$ SOR, the crater configuration considered here preserves stable regions in this vicinity, suggesting alternative scenarios for the formation and maintenance of debris structures around irregular minor bodies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06416",
  "author_total": 5,
  "authors": [
    {
      "name": "P. V. S. Soares"
    },
    {
      "name": "G. Madeira"
    },
    {
      "name": "S. M. Giuliatti Winter"
    },
    {
      "name": "T. Ribeiro"
    },
    {
      "name": "O. C. Winter"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8jepdeqjfc1e6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06416",
  "fulltext_url": null,
  "id": "8jepdeqjfc1e6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06416",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.EP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.06416",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8jepdeqjfc1e6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.06416",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06416"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.EP",
      "subfield": "planetary"
    }
  ],
  "title": "Dynamics around non-spherical symmetric bodies - III. The case of a spherical body with a crater",
  "title_text": "Dynamics around non-spherical symmetric bodies - III. The case of a spherical body with a crater",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/8jepdeqjfc1e6",
  "venue": "arXiv",
  "versions": []
}