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The problem of efficiently computing the orbital elements of a visual binary while still deriving confidence intervals with frequentist properties is treated. When formulated in terms of the Thiele-Innes elements, the known distribution of…

Solar and Stellar Astrophysics · Physics 2015-06-18 L. B. Lucy

Astronomical polarimetry is a powerful technique that can provide physical information sometimes difficult or impossible to obtain by any other type of observation. Almost every class of binary star can benefit from polarimetric…

Astrophysics · Physics 2007-05-23 N. Manset

The optimal instant of observation of astrophysical phenomena for objects that vary on human time-sales is an important problem, as it bears on the cost-effective use of usually scarce observational facilities. In this paper we address this…

Solar and Stellar Astrophysics · Physics 2023-02-15 Miguel Videla , Rene A. Mendez , Jorge F. Silva , Marcos E. Orchard

The problem of estimating the total mass of a visual binary when its orbit is incomplete is treated with Bayesian methods. The posterior mean of a mass estimator is approximated by a triple integral over orbital period, time of periastron…

Solar and Stellar Astrophysics · Physics 2015-06-17 L. B. Lucy

Knowledge of the orbits of visual binary stars has always been one of the fundamentals of astronomy. Based historically on the visual measures, nowadays the orbits rely more (or exclusively) on the accurate speckle data. This prompts…

Solar and Stellar Astrophysics · Physics 2024-08-23 Andrei Tokovinin

The timing of radio pulsars in binary systems provides a superb testing ground of general relativity. Here we propose a Bayesian approach to carry out these tests, and a relevant efficient numerical implementation, that has several…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Walter Del Pozzo , Alberto Vecchio

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…

Solar and Stellar Astrophysics · Physics 2022-04-27 Miguel Videla , Rene A. Mendez , Ruben M. Claveria , Jorge F. Silva , Marcos E. Orchard

I present a brief summary of three different types of binary star - astrometric, spectroscopic and eclipsing - and tabulate the properties of these systems that can be determined directly from observations. Eclipsing binary stars are the…

Solar and Stellar Astrophysics · Physics 2020-01-08 John Southworth

Most binaries are undetected. Astrometric reductions of a system using the assumption that the object moves like a single point mass can be biased by unresolved binary stars. The discrepancy between the centre of mass of the system (which…

Astrophysics of Galaxies · Physics 2020-05-13 Zephyr Penoyre , Vasily Belokurov , N. Wyn Evans , A. Everall , S. E. Koposov

Statistics of orbital parameters of binary stars as well as statistics of their physical characteristics bear traces of star formation history. However, statistical investigations of binaries are complicated by lacking or incomplete…

Solar and Stellar Astrophysics · Physics 2017-01-03 D. Kovaleva , O. Malkov , L. Yungelson , D. Chulkov

Wide binary stars are important for testing alternative models of gravitation in the weak-field regime and understanding the statistical outcomes of dynamical interactions in the general Galactic field. The Gaia mission's collection of…

Solar and Stellar Astrophysics · Physics 2025-07-28 Valeri V. Makarov

Knowledge of the binary population in stellar groupings provides important information about the outcome of the star forming process in different environments. Binarity is also a key ingredient in stellar population studies and is a…

Knowledge of the binary population in stellar groupings provides important information about the outcome of the star forming process in different environments (see, e.g., Blaauw 1991, and references therein). Binarity is also a key…

The study of eclipsing binaries is our primary source of measured properties of normal stars, achieved through analysis of light and radial velocity curves of eclipsing systems. The study of oscillations and pulsations is increasingly vital…

Solar and Stellar Astrophysics · Physics 2015-09-14 John Southworth

Binary stars plays important role in the evolution of stellar populations . The intrinsic binary fraction ($f_{bin}$) of O and B-type (OB) stars in LAMOST DR5 was investigated in this work. We employed a cross-correlation approach to…

Solar and Stellar Astrophysics · Physics 2022-01-05 Feng Luo , Yong-Heng Zhao , Jiao Li , Yan-Jun Guo , Chao Liu

A method is developed for fitting theoretically predicted astronomical spectra to an observed spectrum. Using a hierarchical Bayesian principle, the method takes both systematic and statistical measurement errors into account, which has not…

Astrophysics · Physics 2008-11-26 Z. Shkedy , L. Decin , G. Molenberghs , C. Aerts

We present orbital elements, orbital parallaxes and individual component masses, for fourteen spatially resolved double-line spectroscopic binaries derived doing a simultaneous fit of their visual orbit and radial velocity curve. This was…

Solar and Stellar Astrophysics · Physics 2022-02-16 Jennifer Anguita-Aguero , Rene A. Mendez , Ruben M. Claveria , Edgardo Costa

This thesis describes a numerical study of binary boson stars within the context of an approximation to general relativity. The approximation we adopt places certain restrictions on the dynamical variables of general relativity (conformal…

General Relativity and Quantum Cosmology · Physics 2010-03-02 Bruno C. Mundim

Partial measurements of relative position are a relatively common event during the observation of visual binary stars. However, these observations are typically discarded when estimating the orbit of a visual pair. In this article we…

Instrumentation and Methods for Astrophysics · Physics 2019-07-10 Ruben M. Claveria , Rene A. Mendez , Jorge F. Silva , Marcos E. Orchard

Current analysis of astronomical data are confronted with the daunting task of modeling the awkward features of astronomical data, among which heteroscedastic (point-dependent) errors, intrinsic scatter, non-ignorable data collection…

Instrumentation and Methods for Astrophysics · Physics 2011-12-19 S. Andreon
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