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The masses and radii of solar-like oscillators can be estimated through the asteroseismic scaling relations. These relations provide a direct link between observables, i.e. effective temperature and characteristics of the oscillation…

Solar and Stellar Astrophysics · Physics 2017-07-26 Elisabeth Guggenberger , Saskia Hekker , George C. Angelou , Sarbani Basu , Earl P. Bellinger

The scaling relations for solar-like oscillations provide a translation of the features of the stochastic low-degree modes of oscillation in the Sun to predict the features of solar-like oscillations in other stars with convective outer…

Solar and Stellar Astrophysics · Physics 2019-07-25 S. Hekker

A simple solar scaling relation for estimating the ages of main-sequence stars from asteroseismic and spectroscopic data is developed. New seismic scaling relations for estimating mass and radius are presented as well, including a purely…

Solar and Stellar Astrophysics · Physics 2019-05-07 Earl Patrick Bellinger

Asteroseismology using space-based telescopes is vital to our understanding of stellar structure and evolution. {\textit{CoRoT}}, {\textit{Kepler}}, and {\textit{TESS}} space telescopes have detected large numbers of solar-like oscillating…

Solar and Stellar Astrophysics · Physics 2021-05-12 Z. Çelik Orhan , M. Yıldız , C. Kayhan

Nearly all cool, evolved stars are solar-like oscillators, and fundamental stellar properties can be inferred from these oscillations with asteroseismology. Scaling relations are commonly used to relate global asteroseismic properties, the…

Solar and Stellar Astrophysics · Physics 2024-11-19 Amanda L. Ash , Marc H. Pinsonneault , Mathieu Vrard , Joel Zinn

The scaling relations that relate the average asteroseismic parameters $\Delta \nu$ and $\nu_{\max}$ to the global properties of stars are used quite extensively to determine stellar properties. While the $\Delta \nu$ scaling relation has…

Solar and Stellar Astrophysics · Physics 2017-07-05 Lucas S. Viani , Sarbani Basu , William J. Chaplin , Guy R. Davies , Yvonne Elsworth

Large-scale analyses of stellar samples comprised of cool, solar-like oscillators now commonly utilize the so-called asteroseismic scaling relations to estimate fundamental stellar properties. In this paper we present a test of the scaling…

Solar and Stellar Astrophysics · Physics 2015-05-25 H. R. Coelho , W. J. Chaplin , S. Basu , A. Serenelli , A. Miglio , D. R. Reese

Establishing relations between global stellar parameters and asteroseismic quantities can help improve our understanding of stellar astrophysics and facilitate the interpretation of observations. We present an observed relation between the…

Solar and Stellar Astrophysics · Physics 2015-05-14 D. Stello , W. J. Chaplin , S. Basu , Y. Elsworth , T. R. Bedding

Seismology of stars that exhibit solar-like oscillations develops a growing interest with the wealth of observational results obtained with the CoRoT and Kepler space-borne missions. In this framework, relations between asteroseismic…

Solar and Stellar Astrophysics · Physics 2012-10-15 K. Belkacem

Solar-like oscillations are excited by near-surface convection and are being observed in growing numbers of stars using ground and space-based telescopes. We have previously suggested an empirical scaling relation to predict their…

Solar and Stellar Astrophysics · Physics 2015-05-27 Hans Kjeldsen , Timothy R. Bedding

Scaling relations between asteroseismic quantities and stellar parameters are essential tools for studying stellar structure and evolution. We will address two of them, namely, the relation between the large frequency separation ($\Delta…

Solar and Stellar Astrophysics · Physics 2013-07-12 K. Belkacem , R. Samadi , B. Mosser , M. J. Goupil , H. -G. Ludwig

The paper presents a correction to the scaling relations for red-giant stars using model-based masses and radii. We measure radial-mode frequencies from Kepler observations for 3,642 solar-like oscillators on the red-giant branch and use…

Solar and Stellar Astrophysics · Physics 2022-03-30 Tanda Li , Yaguang Li , Shaolan Bi , Timothy R. Bedding , Guy Davies , Minghao Du

We have analyzed solar-like oscillations in ~1700 stars observed by the Kepler Mission, spanning from the main-sequence to the red clump. Using evolutionary models, we test asteroseismic scaling relations for the frequency of maximum power…

Solar-like oscillations have been detected in thousands of stars thanks to modern space missions. These oscillations have been used to measure stellar masses and ages, which have been widely applied in Galactic archaeology. One of the…

Low amplitude is the defining characteristic of solar-like oscillations. The space projects $Kepler$ and $CoRoT$ give us a great opportunity to successfully detect such oscillations in numerous targets. Achievements of asteroseismology…

Solar and Stellar Astrophysics · Physics 2015-06-19 M. Yıldız , Z. Çelik Orhan , Ç. Aksoy , S. Ok

Asteroseismology, the study of stellar oscillations, provides high-precision measurements of masses and ages for red giants. Scaling relations are a powerful tool for measuring fundamental stellar parameters, and the derived radii are in…

Solar and Stellar Astrophysics · Physics 2025-12-09 Kaili Cao , Marc H. Pinsonneault

Owing to their simplicity and ease of application, seismic scaling relations are widely used to determine the properties of stars exhibiting solar-like oscillations, such as solar twins and red giants. So far, no seismic scaling relations…

Solar and Stellar Astrophysics · Physics 2020-01-15 Earl Patrick Bellinger

So called scaling relations have the potential to reveal the mass and radius of solar-like oscillating stars, based on oscillation frequencies. In derivation of these relations, it is assumed that the first adiabatic exponent at the surface…

Solar and Stellar Astrophysics · Physics 2016-08-24 M. Yıldız , Z. Çelik Orhan , C. Kayhan

Given the potential of ensemble asteroseismology for understanding fundamental properties of large numbers of stars, it is critical to determine the accuracy of the scaling relations on which these measurements are based. From several…

In recent years the global seismic scaling relations for the frequency of maximum power and for the large frequency separation have caught the attention of various fields of astrophysics. With the exquisite photometry of \textit{Kepler},…

Solar and Stellar Astrophysics · Physics 2018-08-29 T. Kallinger , P. G. Beck , D. Stello , R. A. Garcia
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