{
  "abstract": "We present a complete analytic expression for the $N$-body Hamiltonian of nonspinning point particles at second post-Newtonian (2PN) order in the Arnowitt-Deser-Misner (ADM) gauge. Recent work reduced the general $N$-body Hamiltonian to a form containing a single unresolved integral term, which prevented a fully explicit closed-form representation. Here, we evaluate this integral analytically and thereby obtain a fully explicit closed-form expression for the general 2PN $N$-body Hamiltonian. We outline the main steps of the derivation and validate the analytic expression through direct numerical comparisons with the original integral representation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17510",
  "author_total": 3,
  "authors": [
    {
      "name": "Felix M. Heinze"
    },
    {
      "name": "Gerhard Schäfer"
    },
    {
      "name": "Bernd Brügmann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5v5s8fgg0c4ba.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17510",
  "fulltext_url": null,
  "id": "5v5s8fgg0c4ba",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17510",
  "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",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7213432268",
  "pdf_url": "https://arxiv.org/pdf/2609.17510",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5v5s8fgg0c4ba.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.17510",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17510"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "A Fully Analytic Expression for the 2PN N-Body Hamiltonian",
  "title_text": "A Fully Analytic Expression for the 2PN N-Body Hamiltonian",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/5v5s8fgg0c4ba",
  "venue": "arXiv",
  "versions": []
}