{
  "abstract": "We present an electronic analog-computing framework for static stellar-structure equations and verify it using polytropic Lane-Emden benchmarks with known or high-accuracy reference solutions. Starting from an exploratory operational-amplifier and multiplier circuit, we identify sign, coefficient, central-regularity, and signal-conditioning problems that complicate direct electronic implementation. We develop dimensionless first-order formulations, derive regular finite-radius initial conditions, and construct voltage-scaled analog architectures with controlled signal headroom. The principal formulation uses a positive derivative state and reproduces the surface locations and dimensionless mass coefficients of the n = 0, 1, and 3 polytropes at the ideal scaled-voltage level. A common circuit architecture accommodates all three benchmarks, while the nonlinear n = 3 case demonstrates how voltage scaling and computation-speed adjustments can preserve the governing equations. Sensitivity analysis and Monte Carlo simulations quantify the propagation of calibration uncertainties into stellar observables. A separate regularized n = 1 circuit, implemented using AD734 and OPAx197 vendor macromodels, passes all 67 deterministic certification cases and three independently seeded Monte Carlo populations of 1000 cases each. All cases satisfy the predefined first-zero error tolerance of 0.020, with no saturation or convergence failures. A stricter 0.1% accuracy threshold is reported for characterization but is not used as the certification criterion. We also demonstrate a dimensionless four-state radiative extension beyond polytropic models. The results establish a reproducible framework for analog computation of stellar-structure benchmarks while explicitly distinguishing ideal calculations, vendor-macromodel verification, and future physical-hardware validation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30230",
  "author_total": 3,
  "authors": [
    {
      "name": "Zuhoor Elahi"
    },
    {
      "name": "Wafa Gull"
    },
    {
      "name": "Christopher Sirola"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e57923p64xgcw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30230",
  "fulltext_url": null,
  "id": "e57923p64xgcw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30230",
  "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.IM"
    ],
    [
      "arxiv",
      "astro-ph.SR"
    ],
    [
      "openalex",
      "3103|Stellar, planetary, and galactic studies"
    ]
  ],
  "openalex": "W7223368447",
  "pdf_url": "https://arxiv.org/pdf/2610.30230",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e57923p64xgcw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30230",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30230"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.IM",
      "subfield": "instrumentation-methods"
    },
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.SR",
      "subfield": "stellar"
    }
  ],
  "title": "Analog Electronic Computation of Stellar Structure: Polytropic Benchmarks, Circuit Scaling, and Error-Controlled Verification",
  "title_text": "Analog Electronic Computation of Stellar Structure: Polytropic Benchmarks, Circuit Scaling, and Error-Controlled Verification",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/e57923p64xgcw",
  "venue": "arXiv",
  "versions": []
}