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Related papers: Mass estimates for visual binaries with incomplete…

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Binary black hole (BBH) systems detected via gravitational-wave (GW) emission are a recently opened astrophysical frontier with many unknowns and uncertainties. Accurate reconstruction of the binary distribution with as few assumptions as…

High Energy Astrophysical Phenomena · Physics 2024-11-22 Jam Sadiq , Thomas Dent , Mark Gieles

With one exception, previous analyses of the measurement accuracy of gravitational wave experiments for comparable-mass binary systems have neglected either spin-precession effects or subdominant harmonics and amplitude modulations. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Antoine Klein , Philippe Jetzer , Mauro Sereno

Microlensing is one of the most promising methods of reconstructing the stellar mass function down to masses even below the hydrogen-burning limit. The fundamental limit to this technique is the presence of unresolved binaries, which can in…

Astrophysics · Physics 2009-10-28 B. Scott Gaudi , Andrew Gould

Orbital inclination is crucial in determining the mass of the binary. The astrometric excess noise contain the orbital motion information, which can be used to constrain the inclination. We aim to constrain the orbital inclination of a…

Instrumentation and Methods for Astrophysics · Physics 2026-05-26 Shilong Liao , Ye Ding , Shangyu Wen , Zhaoxiang Qi , Qiqi Wu

Under certain rather prevalent conditions (driven by dynamical orbital evolution), a hierarchical triple stellar system can be well approximated, from the standpoint of orbital parameter estimation, as two binary star systems combined. Even…

Solar and Stellar Astrophysics · Physics 2021-07-14 Constanza Villegas , Rene A. Mendez , Jorge F. Silva , Marcos E. Orchard

The most complete list of visual binary systems with known orbital elements is compiled. It is based on OARMAC and ORB6 data and contains 3139 orbits for 2278 pairs. A refined subset of high quality orbits with available distance was also…

Solar and Stellar Astrophysics · Physics 2017-04-18 Oleg Malkov , Dmitry Chulkov

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

We present orbital elements and mass sums for eighteen visual binary stars of spectral types B to K (five of which are new orbits) with periods ranging from 20 to more than 500 yr. For two double-line spectroscopic binaries with no previous…

Solar and Stellar Astrophysics · Physics 2017-10-25 Rene A. Mendez , Ruben M. Claveria , Marcos E. Orchard , Jorge F. Silva

In X-ray binaries, several percent of the compact object luminosity is intercepted by the surface of the normal companion and re-radiated through Compton reflection and the K-fluorescence. This reflected emission follows the variability of…

Astrophysics · Physics 2009-10-31 A. Vikhlinin

We propose a new method for determining total masses of low frequency eccentric binaries (such as, neutron star binaries with orbital frequency $f\gsim 10^{-3}$Hz) from their gravitational waves. In this method we use the frequency shift…

Astrophysics · Physics 2016-08-30 Naoki Seto

In this work we revisit the problem of the dynamical stability of hierarchical triple systems with applications to circumbinary planetary orbits. We carry out more than 3 10^8 numerical simulations of planets between the size of Mercury and…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nikolaos Georgakarakos , Siegfried Eggl , Mohamad Ali-Dib , Ian Dobbs-Dixon

Third-generation gravitational wave detectors such as Einstein Telescope and Cosmic Explorer will have significantly better sensitivities than current detectors, as well as a wider frequency bandwidth. This will increase the number and…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Tomasz Baka , Harsh Narola , Justin Janquart , Anuradha Samajdar , Tim Dietrich , Chris Van Den Broeck

Ordinary differential equations (ODEs) are used to model dynamic systems appearing in engineering, physics, biomedical sciences and many other fields. These equations contain unknown parameters, say $\theta$ of physical significance which…

Statistics Theory · Mathematics 2014-03-05 Prithwish Bhaumik , Subhashis Ghosal

Our long term aim is to derive model-independent stellar masses and distances for long period massive binaries by combining apparent astrometric orbit with double-lined radial velocity amplitudes (SB2). We follow-up ten O+O binaries with…

[Abridged] Binary black holes may form and merge dynamically. These binaries are likely to become bound with high eccentricities, resulting in a burst of gravitational radiation at their point of closest approach. When such a binary is…

General Relativity and Quantum Cosmology · Physics 2024-11-25 Isobel M. Romero-Shaw , Nicholas Loutrel , Michael Zevin

Binary observations are often repeated to improve data quality, creating technical replicates. Several scoring methods are commonly used to infer the actual individual state and obtain a probability for each state. The common practice of…

Methodology · Statistics 2025-01-24 Manuela Royer-Carenzi , Hadrien Lorenzo , Pierre Pudlo

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

Observation of gravitational waves from inspiralling binary black holes has offered a unique opportunity to study the physical parameters of the component black holes. To infer these parameters, Bayesian methods are employed in conjunction…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Koustav Chandra , Archana Pai , Samson H. W. Leong , Juan Calderón Bustillo

We investigate the impact of post-adiabatic (1PA) terms on parameter estimation for extreme and intermediate mass-ratio inspirals using state-of-the-art waveform models. Our analysis is the first to employ Bayesian inference to assess…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Ollie Burke , Gabriel Andres Piovano , Niels Warburton , Philip Lynch , Lorenzo Speri , Chris Kavanagh , Barry Wardell , Adam Pound , Leanne Durkan , Jeremy Miller

We propose a new approach to Bayesian prior probability distributions (priors) that can improve orbital solutions for low-phase-coverage orbits, where data cover less than approximately 40% of an orbit. In instances of low phase coverage…

Earth and Planetary Astrophysics · Physics 2019-06-12 K. Kosmo O'Neil , G. D. Martinez , A. Hees , A. M. Ghez , T. Do , G. Witzel , Q. Konopacky , E. E. Becklin , D. S. Chu , J. Lu , K. Matthews , S. Sakai