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We propose a new information theoretic metric for finding periodicities in stellar light curves. Light curves are astronomical time series of brightness over time, and are characterized as being noisy and unevenly sampled. The proposed…

Instrumentation and Methods for Astrophysics · Physics 2014-12-08 Pablo Huijse , Pablo A. Estevez , Pavlos Protopapas , Pablo Zegers , Jose C. Principe

Many astrophysical phenomena are time-varying, in the sense that their brightness change over time. In the case of periodic stars, previous approaches assumed that changes in period, amplitude, and phase are well described by either…

Methodology · Statistics 2022-02-02 Giovanni Motta , Darlin Soto , Márcio Catelan

One of the main features of interest in analysing the light curves of stars is the underlying periodic behaviour. The corresponding observations are a complex type of time series with unequally spaced time points and are sometimes…

Applications · Statistics 2022-11-21 Efthymia Derezea , Alfred Kume , Dirk Froebrich

The light curves of variable stars are commonly described using simple trigonometric models, that make use of the assumption that the model parameters are constant in time. This assumption, however, is often violated, and consequently, time…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 J. Pelt , N. Olspert , M. J. Mantere , I. Tuominen

This paper presents a comparison of popular period finding algorithms applied to the light curves of variable stars from the Catalina Real-time Transient Survey (CRTS), MACHO and ASAS data sets. We analyze the accuracy of the methods…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Matthew J. Graham , Andrew J. Drake , S. G. Djorgovski , Ashish A. Mahabal , Ciro Donalek , Victor Duan , Alison Maher

Automatic classification methods applied to sky surveys have revolutionized the astronomical target selection process. Most surveys generate a vast amount of time series, or \quotes{lightcurves}, that represent the brightness variability of…

Instrumentation and Methods for Astrophysics · Physics 2018-01-31 Nicolas Castro , Pavlos Protopapas , Karim Pichara

This paper introduces the multiband periodogram, a general extension of the well-known Lomb-Scargle approach for detecting periodic signals in time-domain data. In addition to advantages of the Lomb-Scargle method such as treatment of…

Instrumentation and Methods for Astrophysics · Physics 2015-10-14 Jacob T. VanderPlas , Zeljko Ivezic

Ongoing and future surveys with repeat imaging in multiple bands are producing (or will produce) time-spaced measurements of brightness, resulting in the identification of large numbers of variable sources in the sky. A large fraction of…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Abhijit Saha , A. Katherina Vivas

We consider the estimation of a common period for a set of functions sampled at irregular intervals. The problem arises in astronomy, where the functions represent a star's brightness observed over time through different photometric…

Applications · Statistics 2016-04-15 James P. Long , Eric C. Chi , Richard G. Baraniuk

Aperiodic variability is a characteristic feature of young stars, massive stars, and active galactic nuclei. With the recent proliferation of time domain surveys, it is increasingly essential to develop methods to quantify and analyze…

Instrumentation and Methods for Astrophysics · Physics 2026-04-01 Krzysztof Findeisen , Ann Marie Cody , Lynne Hillenbrand

Quasi-periodic modulations of the stellar light curve may result from dark spots crossing the visible stellar disc. Due to differential rotation, spots at different latitudes generally have different rotation periods. Hence, by studying…

Solar and Stellar Astrophysics · Physics 2017-02-22 A. R. G. Santos , M. S. Cunha , P. P. Avelino , R. A. García , S. Mathur

Light curves of solar-like stars are known to show highly irregular variability. As a consequence, standard frequency analysis methods often fail to detect the correct rotation period. Recently, Shapiro et al. (2020) showed that the periods…

Solar and Stellar Astrophysics · Physics 2022-10-26 Timo Reinhold , Alexander I. Shapiro , Sami K. Solanki , Gibor Basri

Periodicity analysis of unevenly collected data is a relevant issue in several scientific fields. In astrophysics, for example, we have to find the fundamental period of light or radial velocity curves which are unevenly sampled…

Astrophysics · Physics 2009-10-31 R. Tagliaferri , A. Ciaramella , L. Milano , F. Barone , G. Longo

Astronomy light curves are sparse, gappy, and heteroscedastic. As a result standard time series methods regularly used for financial and similar datasets are of little help and astronomers are usually left to their own instruments and…

Instrumentation and Methods for Astrophysics · Physics 2018-02-27 Ashish Mahabal , Kshiteej Sheth , Fabian Gieseke , Akshay Pai , S. George Djorgovski , Andrew Drake , Matthew Graham , the CSS/CRTS/PTF Collaboration

We present a new representation of light curves, which is quite different from the binning method. Instead of choosing uniform bins, the reciprocal of interval between two successive photons is adopted to represent the counting rate. A…

High Energy Astrophysical Phenomena · Physics 2014-01-14 Jun Tian , Yuan-Chuan Zou

Many synoptic surveys are observing large parts of the sky multiple times. The resulting lightcurves provide a wonderful window to the dynamic nature of the universe. However, there are many significant challenges in analyzing these light…

Applications · Statistics 2016-02-04 Julian Faraway , Ashish Mahabal , Jiayang Sun , Xiaofeng Wang , Yi , Wang , Lingsong Zhang

Combination frequencies are not solutions of the perturbed stellar structure equations. In dense power spectra from a light curve of a given multi-periodic pulsating star, they can compromise the mode identification in an asteroseismic…

Solar and Stellar Astrophysics · Physics 2020-08-12 M. Lares-Martiz , R. Garrido , J. Pascual-Granado

The ability to automatically and robustly self-verify periodicity present in time-series astronomical data is becoming more important as data sets rapidly increase in size. The age of large astronomical surveys has rendered manual…

Instrumentation and Methods for Astrophysics · Physics 2024-06-14 Niall Miller , Philip Lucas , Yi Sun , Zhen Guo , Calum Morris , William Cooper

Context. CoRoT light curves have an unprecedented photometric quality, having simultaneously a high signal-to-noise ratio, a long time span and a nearly continuous duty-cycle. Aims. We analyse the light-curves of four bright targets…

Solar and Stellar Astrophysics · Physics 2015-05-13 B. Mosser , F. Baudin , A. F. Lanza , J. C. Hulot , C. Catala , A. Baglin , M. Auvergne

Light curves of young stars exhibit photometric variability over hours to decades and across a wide range of amplitudes. On time scales beyond a few rotation periods, these light curves are typically stochastic. The variability arises from…

Solar and Stellar Astrophysics · Physics 2025-09-10 Benjamin W. Ryan , Holly Stokes-Geddes , Dirk Froebrich
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