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Gravitational-wave parameter estimation for compact binary signals typically relies on sequential estimation of the properties of the detector Gaussian noise and of the binary parameters. This procedure assumes that the noise variance,…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Cailin Plunkett , Sophie Hourihane , Katerina Chatziioannou

We present a Bayesian algorithm to combine optical imaging of unresolved objects from distinct epochs and observation platforms for orbit determination and tracking. By propagating the non-Gaussian uncertainties we are able to optimally…

Instrumentation and Methods for Astrophysics · Physics 2016-09-26 Michael D. Schneider , William A. Dawson

Formulating a statistical inverse problem as one of inference in a Bayesian model has great appeal, notably for what this brings in terms of coherence, the interpretability of regularisation penalties, the integration of all uncertainties,…

Statistics Theory · Mathematics 2012-12-19 Natalia A. Bochkina , Peter J. Green

We revisit the modeling of the properties of the remnant black hole resulting the merger of a black-hole binary as a function of the parameters of the binary. We provide a set of empirical formulas for the final mass, spin and recoil…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Yosef Zlochower , Carlos O. Lousto

We revisit the three black hole scenario with numerical relativity techniques to study hierarchical configurations where the inner binary contains highly spinning black holes. We find that the merger time of the binary gets a delay (with a…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Giuseppe Ficarra , Carlos O. Lousto

One of the most efficient and reliable observational technique allowing to probe the internal structure of a star is the determination of the apsidal motion in close eccentric binaries. This secular precession of the binary orbit's major…

Solar and Stellar Astrophysics · Physics 2025-11-04 Sophie Rosu

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

Methodology · Statistics 2019-02-08 Fangzheng Xie , Yanxun Xu

We present the spectroscopic orbit solutions of three double-lines eclipsing binaries, BG Ind, IM Mon and RS Sgr. The first precise radial velocities (RVs) of the components were determined using high resolution echelle spectra obtained at…

Solar and Stellar Astrophysics · Physics 2009-09-28 V. Bakis , H. Bakis , S. Bilir , F. Soydugan , E. Soydugan , O. Demircan , Z. Eker , E. Yaz , M. Tuysuz , T. Senyuz

Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Rossella Gamba , Danilo Chiaramello , Sayan Neogi

Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

More than 10% of extra-solar planets (EPs) orbit in a binary or multiple stellar system. We investigated the motion of planets revolving in binary systems in the frame of the particular case of the three body problem. We carried out an…

Earth and Planetary Astrophysics · Physics 2015-06-12 E. Plávalová , N. A. Solovaya

Microlensing is one of the most promising tools for discovering stellar-mass black holes (BHs) in the Milky Way because it allows us to probe dark or faint celestial compact objects. While the existence of stellar-mass BHs has been…

High Energy Astrophysical Phenomena · Physics 2024-04-16 Kyungmin Kim , Yeong-Bok Bae , Yoon-Hyun Ryu

We present relativistic analyses of 9257 measurements of times-of-arrival from the first binary pulsar, PSR B1913+16, acquired over the last thirty-five years. The determination of the 'Keplerian' orbital elements plus two relativistic…

High Energy Astrophysical Phenomena · Physics 2016-10-05 Joel M. Weisberg , Yuping Huang

The general relativistic (Mercury-type) periastron advance is calculated here for the first time with exquisite precision in full general relativity. We use accurate numerical relativity simulations of spinless black hole binaries with mass…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Alexandre Le Tiec , Abdul H. Mroué , Leor Barack , Alessandra Buonanno , Harald P. Pfeiffer , Norichika Sago , Andrea Taracchini

Doppler tomography is a method to compute the emissivity distribution within the co-rotating frames of binary stars from observations of their emission line profiles at multiple orbital phases. A key assumption of the method as it is…

Solar and Stellar Astrophysics · Physics 2021-12-08 T. R. Marsh

We describe a program that we have embarked on to estimate the spins of stellar-mass black holes in X-ray binaries. We fit the continuum X-ray spectrum of the radiation from the accretion disk using the standard thin disk model, and extract…

Astrophysics · Physics 2007-08-01 Jeffrey E. McClintock , Ramesh Narayan , Rebecca Shafee

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

The extent of the continuous zone of chaotic orbits of a small-mass tertiary around a system of two gravitationally bound primaries (a double star, a double black hole, a binary asteroid, etc.) is estimated analytically, in function of the…

Earth and Planetary Astrophysics · Physics 2015-01-19 Ivan I. Shevchenko

In this paper, we derive a set of equations of motions for binaries on eccentric orbits undergoing spin-induced precession that can efficiently be integrated on the radiation-reaction timescale. We find a family of solutions with a…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Antoine Klein

We derive an estimator of weak gravitational lensing shear from background galaxy images that avoids noise-induced biases through a rigorous Bayesian treatment of the measurement. The derived shear estimator disposes with the assignment of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Gary M. Bernstein , Robert Armstrong
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