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Additional pulsation modes have been discovered in many Cepheids, RR Lyrae, and other variable stars. Fourier transforms are used to find, fit and subtract the main pulsation period and its harmonics to reveal additional modes. Commonly,…

Solar and Stellar Astrophysics · Physics 2018-11-28 Michael Hippke

An algorithm is presented which generates pairs of oscillatory random time series which have identical periodograms but differ in the number of oscillations. This result indicate the intrinsic limitations of spectral methods when it comes…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. G. Rossberg

Variable stars with well-calibrated period-luminosity relationships provide accurate distance measurements to nearby galaxies and are therefore a vital tool for cosmology and astrophysics. While these measurements typically rely on samples…

Instrumentation and Methods for Astrophysics · Physics 2019-04-09 Markus Michael Rau , Sergey E. Koposov , Hy Trac , Rachel Mandelbaum

The expert system for time series analysis of irregularly spaced signals is reviewed. It consists of a number of complementary algorithms and programs, which may be effective for different types of variability. Obviously, for a pure sine…

Solar and Stellar Astrophysics · Physics 2020-09-24 Ivan L. Andronov , Lidia L. Chinarova

The characterisation of stellar cores may be accomplished through the modelling of asteroseismic data from stars exhibiting either gravity-mode or mixed-mode pulsations, potentially shedding light on the physical processes responsible for…

Solar and Stellar Astrophysics · Physics 2019-09-25 M. S. Cunha , P. P. Avelino , J. Christensen-Dalsgaard , D. Stello , M. Vrard , C. Jiang , B. Mosser

Context. Considerable effort has been put into using light curves observed by space telescopes such as CoRoT, Kepler and TESS for determining stellar rotation periods. While rotation periods of active stars can be reliably determined, the…

Solar and Stellar Astrophysics · Physics 2020-01-08 A. I. Shapiro , E. M. Amazo-Gómez , N. A. Krivova , S. K. Solanki

We address the problem of estimating the spherical-harmonic power spectrum of a statistically isotropic scalar signal from noise-contaminated data on a region of the unit sphere. Three different methods of spectral estimation are…

Astrophysics · Physics 2009-11-13 F. A. Dahlen , Frederik J Simons

Young stellar objects in their pre-main sequence phase are characterized by irregular changes in brightness, generally attributed to an increase of the mass accretion rate due to various kind of instabilities occurring in the circumstellar…

Solar and Stellar Astrophysics · Physics 2022-04-06 F. Strafella , G. Altavilla , T. Giannini , A. Giunta , D. Lorenzetti , A. Nucita , A. Franco

The moment method is a well known mode identification technique in asteroseismology (where `mode' is to be understood in an astronomical rather than in a statistical sense), which uses a time series of the first 3 moments of a spectral line…

Astrophysics · Physics 2007-05-23 Joris De Ridder , Geert Molenberghs , Conny Aerts

We used a convolutional neural network to infer stellar rotation periods from a set of synthetic light curves simulated with realistic spot evolution patterns. We convolved these simulated light curves with real TESS light curves containing…

Solar and Stellar Astrophysics · Physics 2022-03-30 Zachary R. Claytor , Jennifer L. van Saders , Joe Llama , Peter Sadowski , Brandon Quach , Ellis Avallone

Wide-field high precision photometric surveys such as Kepler have produced reams of data suitable for investigating stellar magnetic activity of cooler stars. Starspot activity produces quasi-sinusoidal light curves whose phase and…

Solar and Stellar Astrophysics · Physics 2017-09-20 Helen A. C. Giles , Andrew Collier Cameron , Raphaëlle D. Haywood

We describe the construction of a highly reliable sample of approximately 7,000 optically faint periodic variable stars with light curves obtained by the asteroid survey LINEAR across 10,000 sq.deg of northern sky. Majority of these…

In this paper we consider the problem of the limits concerning the physical information that can be extracted from the analysis of one or more time series (light curves) typical of astrophysical objects. On the basis of theoretical…

Astrophysics · Physics 2009-11-10 R. Vio , N. R. Kristensen , H. Madsen , W. Wamsteker

Light-travel-time delays provide one of the most powerful ways of learning about the structure and kinematics of active galactic nuclei (AGNs). Estimating delays from observations of AGN variability presents statistical challenges because…

Astrophysics of Galaxies · Physics 2025-01-23 C. Martin Gaskell

In many domains, including healthcare, biology, and climate science, time series are irregularly sampled with varying time intervals between successive readouts and different subsets of variables (sensors) observed at different time points.…

Machine Learning · Computer Science 2022-03-17 Xiang Zhang , Marko Zeman , Theodoros Tsiligkaridis , Marinka Zitnik

We complement the $y$-band template light curves for RR Lyrae to the well-established template light curves in the $ugriz$-band, where the latter have been adopted in the astroML/gatspy python package as one of the period-search methods for…

Solar and Stellar Astrophysics · Physics 2024-12-03 Chow-Choong Ngeow , Chia-Yu Cheng

Context: The detection and identification of oscillation modes (in terms of their $\ell$, $m$ and successive $n$) is a great challenge for present and future asteroseismic space missions. The "peak tagging" is an important step in the…

Astrophysics · Physics 2009-11-11 P. Lambert , S. Pires , J. Ballot , R. A. Garcia , J. -L. Starck , S. Turck-Chieze

We present new periodograms that are effective in distinguishing Doppler shift from spectral shape variability in astronomical spectra. These periodograms, building upon the concept of partial distance correlation, separate the periodic…

Instrumentation and Methods for Astrophysics · Physics 2022-04-06 Avraham Binnenfeld , Sahar Shahaf , Richard I. Anderson , Shay Zucker

Lensed quasars and supernovae can be used to study galaxies' gravitational potential and measure cosmological parameters. The typical image separation of objects lensed by galaxies is of the order of 0.5". Therefore, finding the ones with…

Instrumentation and Methods for Astrophysics · Physics 2021-09-01 Ofer M. Springer , Eran O. Ofek

Information from frequency bands in biomedical time series provides useful summaries of the observed signal. Many existing methods consider summaries of the time series obtained over a few well-known, pre-defined frequency bands of…

Methodology · Statistics 2023-01-11 Raanju R. Sundararajan , Scott A. Bruce
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