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I describe ongoing work on development of Bayesian methods for exploring periodically varying phenomena in astronomy, addressing two classes of sources: pulsars, and extrasolar planets (exoplanets). For pulsars, the methods aim to detect…

Instrumentation and Methods for Astrophysics · Physics 2012-04-27 Thomas J. Loredo

Extracting Times of Arrival from pulsar radio signals depends on the knowledge of the pulsars pulse profile and how this template is generated. We examine pulsar template generation with Bayesian methods. We will contrast the classical…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 M. Imgrund , D. J. Champion , M. Kramer , H. Lesch

In this paper, we investigate the statistical signal-processing algorithm to measure the instant local clock jump from the timing data of multiple pulsars. Our algorithm is based on the framework of Bayesian statistics. In order to make the…

Instrumentation and Methods for Astrophysics · Physics 2019-07-09 Zhixuan Li , Kejia Lee , Ricardo Nicolaos Caballero , Yonghua Xu , Longfei Hao , Min Wang , Jiancheng Wang

This study aims to investigate the systematics in planetary ephemeris reference frames through pulsar timing observations. We used the published data sets from several pulsar timing arrays and performed timing analyses for each pulsar using…

Earth and Planetary Astrophysics · Physics 2023-06-22 Niu Liu , Ziu Zhu , John Antoniadis , Jia-Cheng Liu , Hong Zhang

Pulsar timing is a technique that uses the highly stable spin periods of neutron stars to investigate a wide range of topics in physics and astrophysics. Pulsar timing arrays (PTAs) use sets of extremely well-timed pulsars as a Galaxy-scale…

Instrumentation and Methods for Astrophysics · Physics 2021-10-05 J. P. W. Verbiest , S. Oslowski , S. Burke-Spolaor

Pulsar timing is a promising technique for detecting low frequency sources of gravitational waves. Historically the focus has been on the detection of diffuse stochastic backgrounds, such as those formed from the superposition of weak…

High Energy Astrophysical Phenomena · Physics 2010-08-18 Vincent Corbin , Neil J. Cornish

We present here a simple, systematic method for determining the correct global rotation count of a radio pulsar; an essential step for the derivation of an accurate phase-coherent ephemeris. We then build on this method by developing a new…

Instrumentation and Methods for Astrophysics · Physics 2018-03-14 Paulo C. C. Freire , Alessandro Ridolfi

Pulsar timing provides a sensitive probe of small-scale structure. Gravitational perturbations arising from an inhomogeneous environment could manifest as detectable perturbations in the pulsation phase. Consequently, pulsar timing arrays…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-23 M. Sten Delos , Tim Linden

Recently, binary pulsar timing has been proposed as a viable probe of dark matter subhalos with masses of $\sim 10^7\,M_{\odot}$ in the solar neighborhood. We present a comprehensive analytical framework that incorporates the subhalo mass…

High Energy Astrophysical Phenomena · Physics 2026-03-30 Zheng-Long Wang , Zi-Qing Xia , Yue-Lin Sming Tsai , Yi-Zhong Fan

Advances in astronomy are often driven by serendipitous discoveries. As survey astronomy continues to grow, the size and complexity of astronomical databases will increase, and the ability of astronomers to manually scour data and make such…

Instrumentation and Methods for Astrophysics · Physics 2019-01-09 Daniel Giles , Lucianne Walkowicz

Pulsars are natural cosmic clocks. On long timescales they rival the precision of terrestrial atomic clocks. Using a technique called pulsar timing, the exact measurement of pulse arrival times allows a number of applications, ranging from…

Instrumentation and Methods for Astrophysics · Physics 2018-02-14 Werner Becker , Michael Kramer , Alberto Sesana

In an era of large spectroscopic surveys of stars and big data, sophisticated statistical methods become more and more important in order to infer fundamental stellar parameters such as mass and age. Bayesian techniques are powerful methods…

Solar and Stellar Astrophysics · Physics 2017-02-01 F. R. N. Schneider , N. Castro , L. Fossati , N. Langer , A. de Koter

The masses of stars and planets can be measured dynamically in binary systems. For an unresolved binary, time series astrometry yields some orbital parameters, but it cannot provide the component masses, because we observe only the motion…

Solar and Stellar Astrophysics · Physics 2026-04-27 C. A. L. Bailer-Jones , L. Kreidberg

Machine learning, algorithms to extract empirical knowledge from data, can be used to classify data, which is one of the most common tasks in observational astronomy. In this paper, we focus on Bayesian data classification algorithms using…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 K. J. Lee , L. Guillemot , Y. L. Yue , M. Kramer , D. J. Champion

PSR J0751+1807 is a millisecond pulsar in a circular 6 hr binary system with a helium white dwarf secondary. Through high precision pulse timing measurements with the Arecibo and Effelsberg radio telescopes, we have detected the decay of…

The detection of pulsations from an X-ray binary is an unambiguous signature of the presence of a neutron star in the system. When the pulsations are missed in the radio band, their detection at other wavelengths, like X-ray or gamma-rays,…

High Energy Astrophysical Phenomena · Physics 2015-06-11 G. Andrea Caliandro , Diego F. Torres , Nanda Rea

We present a statistical framework which can be used to determine the contribution of an unresolved population of pulsars to the gamma-ray background. This formalism is based on the joint analysis of photon time series over extended regions…

High Energy Astrophysical Phenomena · Physics 2012-03-20 Alex Geringer-Sameth , Savvas M. Koushiappas

Pulsar timing, i.e. the analysis of the arrival times of pulses from a pulsar, is a powerful tool in modern astrophysics. It allows us to measure the time delays of an electromagnetic signal caused by a number of physical processes as the…

Instrumentation and Methods for Astrophysics · Physics 2025-02-04 Konstantin A. Postnov , Nataliya K. Porayko , Maxim S. Pshirkov

It is widely accepted that dark matter contributes about a quarter of the critical mass-energy density in our Universe. The nature of dark matter is currently unknown, with the mass of possible constituents spanning nearly one hundred…

Pulsars have been primarily detected by their narrow pulses or periodicity in time domain data. Interferometric surveys for pulsars are challenging due to the trade-off between beam sensitivity and beam size and the corresponding tradeoff…

High Energy Astrophysical Phenomena · Physics 2024-07-26 Jitendra Salal , Shriharsh P. Tendulkar , Visweshwar Ram Marthi