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dc.contributor.authorVidela, Miguel
dc.contributor.authorMendez, Rene A
dc.contributor.authorClavería, Rubén M
dc.contributor.authorSilva, Jorge F
dc.contributor.authorOrchard, Marcos E
dc.date.accessioned2022-04-19T13:18:29Z
dc.date.available2022-04-19T13:18:29Z
dc.date.issued2022-05-01
dc.date.submitted2022-01-25
dc.identifier.issn0004-6256
dc.identifier.otherajac5ab4
dc.identifier.otherac5ab4
dc.identifier.otheraas37302
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/336186
dc.description.abstract<jats:title>Abstract</jats:title> <jats:p>We present a Bayesian inference methodology for the estimation of orbital parameters on single-line spectroscopic binaries with astrometric data, based on the No-U-Turn sampler Markov chain Monte Carlo algorithm. Our approach is designed to provide a precise and efficient estimation of the joint posterior distribution of the orbital parameters in the presence of partial and heterogeneous observations. This scheme allows us to directly incorporate prior information about the system—in the form of a trigonometric parallax, and an estimation of the mass of the primary component from its spectral type—to constrain the range of solutions, and to estimate orbital parameters that cannot be usually determined (e.g., the individual component masses), due to the lack of observations or imprecise measurements. Our methodology is tested by analyzing the posterior distributions of well-studied double-line spectroscopic binaries treated as single-line binaries by omitting the radial velocity data of the secondary object. Our results show that the system’s mass ratio can be estimated with an uncertainty smaller than 10% using our approach. As a proof of concept, the proposed methodology is applied to 12 single-line spectroscopic binaries with astrometric data that lacked a joint astrometric–spectroscopic solution, for which we provide full orbital elements. Our sample-based methodology allows us also to study the impact of different posterior distributions in the corresponding observations space. This novel analysis provides a better understanding of the effect of the different sources of information on the shape and uncertainty in the orbit and radial velocity curve.</jats:p>
dc.languageen
dc.publisherAmerican Astronomical Society
dc.subject340
dc.subjectStars and Stellar Physics
dc.titleBayesian Inference in Single-line Spectroscopic Binaries with a Visual Orbit
dc.typeArticle
dc.date.updated2022-04-19T13:18:29Z
prism.issueIdentifier5
prism.publicationNameThe Astronomical Journal
prism.volume163
dc.identifier.doi10.17863/CAM.83611
dcterms.dateAccepted2022-03-02
rioxxterms.versionofrecord10.3847/1538-3881/ac5ab4
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidMendez, Rene A [0000-0003-1454-0596]
dc.identifier.eissn1538-3881
pubs.funder-project-idMINEDUC ∣ CONICYT ∣ Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) (1190038)
cam.issuedOnline2022-04-19


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