{
  "abstract": "Extreme mass ratio inspirals on generic inclined orbits provide a critical dynamical probe of strong field gravity, as they uniquely break the severe parameter degeneracies inherent to planar equatorial trajectories. To isolate the exact rotational signatures, we extend the periodic-orbit framework to three-dimensional inclined trajectories in the Kerr spacetime, specifically focusing on the $r$--$θ$ orbital resonances. By mapping the geodesic motion into a co-precessing spatial framework parameterized by Mino time, we compute the emitted quadrupole waveforms and evolve the local dynamics using circularity-preserving radiation reaction. It is demonstrated that frame-dragging induces a transient dynamical tilt at periastron, which directly splits the emitted radiation into an exact five-comb spectral architecture. When this resonant structure is resolved over a single coherence time, the statistical error on the dimensionless spin is reduced to $σ_a \\approx 10^{-2}$, improving upon the equatorial baseline by up to two orders of magnitude. Because any bound orbit in a static, spherically symmetric spacetime generates a maximum of three frequency combs, the detection of this five-comb hierarchy establishes a rigorous, model-independent null test to strictly exclude spherical geometries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31697",
  "author_total": 5,
  "authors": [
    {
      "name": "Yi-Han Huang"
    },
    {
      "name": "Sen Guo"
    },
    {
      "name": "Yu Liang"
    },
    {
      "name": "Lin Wen"
    },
    {
      "name": "Kai Lin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4dc280qycbwbq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31697",
  "fulltext_url": null,
  "id": "4dc280qycbwbq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31697",
  "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.HE"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7223667266",
  "pdf_url": "https://arxiv.org/pdf/2610.31697",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4dc280qycbwbq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.31697",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31697"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Gravitational waves from inclined orbits around Kerr black holes",
  "title_text": "Gravitational waves from inclined orbits around Kerr black holes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/4dc280qycbwbq",
  "venue": "arXiv",
  "versions": []
}