Distributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of Eccentricity
The orbital parameter space of wide, weakly bound binary stars has been shaped by the still poorly known circumstances of their formation, as well as by subsequent dynamical evolution in parent clusters and in the field. The advance of the Gaia mission astrometry takes statistical studies of wide st...
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IOP Publishing
2025-01-01
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| Online Access: | https://doi.org/10.3847/1538-3881/ada5fa |
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| author | Valeri V. Makarov |
| author_facet | Valeri V. Makarov |
| author_sort | Valeri V. Makarov |
| collection | DOAJ |
| description | The orbital parameter space of wide, weakly bound binary stars has been shaped by the still poorly known circumstances of their formation, as well as by subsequent dynamical evolution in parent clusters and in the field. The advance of the Gaia mission astrometry takes statistical studies of wide stellar systems to an unprecedented level of precision and scope. On the theoretical side of the problem, the old approach proposed by Jeans and developed by Ambartsumian is revisited here. It is shown how certain simplifying assumptions about the phase density of binary systems in the framework of general copula distributions can lead to a family of analytical representations for the marginal distribution of orbital eccentricity, including accommodating and flexible power-law models. We further demonstrate the application of these models in forward Monte Carlo simulations of the measured motion angles between the relative velocity and separation vectors on the example of 170 K listed Gaia binary systems, providing inference in the intrinsic distribution of orbital eccentricity. |
| format | Article |
| id | doaj-art-d23a48bdca4046d8be16db54acd64964 |
| institution | Kabale University |
| issn | 1538-3881 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
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| series | The Astronomical Journal |
| spelling | doaj-art-d23a48bdca4046d8be16db54acd649642025-02-03T13:46:46ZengIOP PublishingThe Astronomical Journal1538-38812025-01-01169211310.3847/1538-3881/ada5faDistributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of EccentricityValeri V. Makarov0https://orcid.org/0000-0003-2336-7887U.S. Naval Observatory , 3450 Massachusetts Ave NW, Washington, DC 20392-5420, USA ; valeri.makarov@gmail.comThe orbital parameter space of wide, weakly bound binary stars has been shaped by the still poorly known circumstances of their formation, as well as by subsequent dynamical evolution in parent clusters and in the field. The advance of the Gaia mission astrometry takes statistical studies of wide stellar systems to an unprecedented level of precision and scope. On the theoretical side of the problem, the old approach proposed by Jeans and developed by Ambartsumian is revisited here. It is shown how certain simplifying assumptions about the phase density of binary systems in the framework of general copula distributions can lead to a family of analytical representations for the marginal distribution of orbital eccentricity, including accommodating and flexible power-law models. We further demonstrate the application of these models in forward Monte Carlo simulations of the measured motion angles between the relative velocity and separation vectors on the example of 170 K listed Gaia binary systems, providing inference in the intrinsic distribution of orbital eccentricity.https://doi.org/10.3847/1538-3881/ada5faMonte Carlo methodsOrbital elementsOrbital evolutionGaiaAstrostatistics distributionsWide binary stars |
| spellingShingle | Valeri V. Makarov Distributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of Eccentricity The Astronomical Journal Monte Carlo methods Orbital elements Orbital evolution Gaia Astrostatistics distributions Wide binary stars |
| title | Distributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of Eccentricity |
| title_full | Distributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of Eccentricity |
| title_fullStr | Distributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of Eccentricity |
| title_full_unstemmed | Distributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of Eccentricity |
| title_short | Distributions of Wide Binary Stars in Theory and in Gaia Data. I. Generalized Ambartsumian (1937) Approach and the Family of Power-law Distributions of Eccentricity |
| title_sort | distributions of wide binary stars in theory and in gaia data i generalized ambartsumian 1937 approach and the family of power law distributions of eccentricity |
| topic | Monte Carlo methods Orbital elements Orbital evolution Gaia Astrostatistics distributions Wide binary stars |
| url | https://doi.org/10.3847/1538-3881/ada5fa |
| work_keys_str_mv | AT valerivmakarov distributionsofwidebinarystarsintheoryandingaiadataigeneralizedambartsumian1937approachandthefamilyofpowerlawdistributionsofeccentricity |