Astrometric star-cluster membership probability: application to the case of M 37 with Gaia EDR3

Abstract

In this work, starting from the well-accepted relations in literature, we introduce a new formalism to compute the astrometric membership probabilities for sources in star clusters, and we provide an application to the case of the open cluster M 37. The novelty of our approach is a refined -- and magnitude-dependent -- modelling of the parallax distribution of the field stars. We employ the here-derived list of members to estimate the cluster's mean systemic astrometric parameters, which are based on the most recent Gaia's catalog (EDR3).

arXiv comment8 pages, 1 table, 7 figures. Accepted for publication in MNRAS on 2022, February 9. Corrected a typo in Equations 3 and 8 (September 2022)

References in corpus (17)

• The Gaia mission
• Gaia Early Data Release 3: The astrometric solution
• Gaia Early Data Release 3: Parallax bias versus magnitude, colour, and position
• New catalogue of optically visible open clusters and candidates
• BANYAN. XI. The BANYAN $\Sigma$ multivariate Bayesian algorithm to identify members of young associations within 150 pc
• Gaia Early Data Release 3 -- Catalogue validation
• Clusters and mirages: cataloguing stellar aggregates in the Milky Way
• A new method for unveiling Open Clusters in Gaia: new nearby Open Clusters confirmed by DR2
• The Hubble Space Telescope UV Legacy Survey of Galactic Globular Clusters - XVII. Public Catalogue Release
• Ground-based CCD astrometry with wide field imagers. II. A star catalogue for M67: [email protected] MPG/ESO astrometry, FLAMES@VLT radial velocities
• The Parallax of Omega Centauri Measured from Gaia EDR3 and a Direct, Geometric Calibration of the Tip of the Red Giant Branch and the Hubble Constant
• Absolute Proper Motions of Open Clusters: I. Observational data
• Characterising Open Clusters in the solar neighbourhood with the Tycho-Gaia Astrometric Solution
• Fundamental parameters for 45 open clusters with Gaia DR2, an improved extinction correction and a metallicity gradient prior
• Extending Gaia DR2 with HST narrow-field astrometry: the WISE J154151.65-225024.9 test case
• The HST large programme on omega Centauri -- IV. catalogue of two external fields
• Extending Gaia DR2 with HST narrow-field astrometry. II. Refining the method on WISE J163940.83-684738.6

Cited by in corpus (8)

• Chronology of our Galaxy from Gaia Colour-Magnitude Diagram-fitting (ChronoGal). I. The formation and evolution of the thin disk from the Gaia Catalogue of Nearby Stars
• The Planetary Nebula in the 500 Myr old Open Cluster M37
• Exploring the origin of the extended main sequence turn off in M37 through the white dwarf cooling sequence
• The unusual planetary nebula nucleus in the Galactic open cluster M37 and six further hot white dwarf candidates
• Astro-photometric study of M37 with Gaia and wide-field ugi-imaging
• Signature of a chemical spread in the open cluster M37
• The broadening of the main sequence in the open cluster M38
• On the Age Calibration of Open Clusters using Red Clump Stars