{
  "abstract": "The formal precision of Gaia CRF proper motions, and in principle positions, can be statistically improved by introducing conditional probability based on the zero-parallax prior for these extremely distant sources. The method developed in this study produces statistically conditioned proper-motion estimates under the assumed per-source Gaussian covariance model. It is demonstrated that thus corrected proper motion vectors of 1.2 million CRF objects in Gaia DR3 show a tighter distribution around zero and a general reduction in the rate of outliers by approximately 15\\%. A general vector spherical harmonic fit to degree 4 is produced with the corrected data for a filtered subset of CRF quasars with redshifts between 1 and 1.5. This application, predicated on the unknown stochastic component of the global parallax field, shows a 3-sigma change in the estimated magnitude of the Galactocentric acceleration of the solar system barycenter, quantifying the sensitivity of this fundamental determination to the proposed conditioning of proper motions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: 2026 PASP 138 104509",
  "arxiv": "2608.16767",
  "author_total": 1,
  "authors": [
    {
      "name": "Valeri V. Makarov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/axg2g402eks11.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.16767",
  "fulltext_url": null,
  "id": "axg2g402eks11",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.16767",
  "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.GA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.16767",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/axg2g402eks11.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2608.16767",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.16767"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.GA",
      "subfield": "galaxies"
    }
  ],
  "title": "A posteriori correction of Gaia CRF proper motions using conditional probability and zero-parallax prior",
  "title_text": "A posteriori correction of Gaia CRF proper motions using conditional probability and zero-parallax prior",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/axg2g402eks11",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1538-3873/aea7da",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}