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We investigate different amplitude scaling relations adopted for the asteroseismology of stars that show solar-like oscillations. Amplitudes are among the most challenging asteroseismic quantities to handle because of the large…

Solar and Stellar Astrophysics · Physics 2015-06-12 E. Corsaro , H. -E. Fröhlich , A. Bonanno , D. Huber , T. R. Bedding , O. Benomar , J. De Ridder , D. Stello

The detection of oscillations with a mixed character in subgiants and red giants allows us to probe the physical conditions in their cores. With these mixed modes, we aim at determining seismic markers of stellar evolution. Kepler…

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

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

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

Models of solar-like oscillators yield acoustic modes at different frequencies than would be seen in actual stars possessing identical interior structure, due to modelling error near the surface. This asteroseismic "surface term" must be…

Solar and Stellar Astrophysics · Physics 2021-11-24 J. M. Joel Ong , Sarbani Basu , Mikkel N. Lund , Allyson Bieryla , Lucas S. Viani , David W. Latham

Data from the space missions {\it Gaia}, {\it Kepler}, {\it CoRoT} and {\it TESS}, make it possible to compare parallax and asteroseismic distances. From the ratio of two densities $\rho_{\rm sca}/\rho_{\pi}$, we obtain an empirical…

Solar and Stellar Astrophysics · Physics 2021-05-11 Mutlu Yıldız , Sibel Örtel

In the analysis of highly-oscillatory evolution problems, it is commonly assumed that a single frequency is present and that it is either constant or, at least, bounded from below by a strictly positive constant uniformly in time. Allowing…

Numerical Analysis · Mathematics 2018-07-23 Philippe Chartier , Mohammed Lemou , Florian Méhats , Gilles Vilmart

Consider a collection of particles whose state evolution is described through a system of interacting diffusions in which each particle is driven by an independent individual source of noise and also by a small amount of noise that is…

Probability · Mathematics 2021-01-01 Amarjit Budhiraja , Michael Conroy

In various disordered systems or non-equilibrium dynamical models, the large deviations of some observables have been found to display different scalings for rare values bigger or smaller than the typical value. In the present paper, we…

Statistical Mechanics · Physics 2021-05-12 Cecile Monthus

The asteroseismic scaling relation, dnu~rho^{0.5}, linking a star's large frequency separation, dnu, and its mean density, rho, is not exact. Yet, it provides a very useful way to obtain fundamental stellar properties. Common ways to make…

Instrumentation and Methods for Astrophysics · Physics 2023-05-08 D. Stello , S. Sharma

Asteroseismology of solar-like oscillators often relies on the comparisons between stellar models and stellar observations in order to determine the properties of stars. The values of the global seismic parameters, $\nu_\mathrm{max}$ (the…

Solar and Stellar Astrophysics · Physics 2019-07-10 Lucas S. Viani , Sarbani Basu , Enrico Corsaro , Warrick H. Ball , William J. Chaplin

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

This study investigates the variability of the theoretical correction factor, $f_{\Delta \nu}$, used in red giant branch (RGB) scaling relations, arising from different assumptions in stellar model computations. Adopting a commonly used…

Solar and Stellar Astrophysics · Physics 2025-05-13 G. Valle , M. Dell'Omodarme , P. G. Prada Moroni , S. Degl'Innocenti

Recent observations of rapidly rotating stars have revealed the presence of regular patterns in their pulsation spectra. This has raised the question as to their physical origin, and in particular, whether they can be explained by an…

Solar and Stellar Astrophysics · Physics 2015-06-17 Daniel R. Reese , Francisco Espinosa Lara , Michel Rieutord

Mixed modes observed in red giants allow for investigation of the stellar interior structures. One important feature in these structures is the buoyancy spike caused by the discontinuity of the chemical gradient left behind during the first…

Solar and Stellar Astrophysics · Physics 2022-07-27 Chen Jiang , Margarida Cunha , Joergen Christensen-Dalsgaard , Qiansheng Zhang , Laurent Gizon

Asteroseismology of solar-type stars has entered a new era of large surveys with the success of the NASA \textit{Kepler} mission, which is providing exquisite data on oscillations of stars across the Hertzprung-Russell (HR) diagram. From…

Asteroseismology is a powerful tool that may be applied to shed light on stellar interiors and stellar evolution. Mixed modes, behaving as acoustic waves in the envelope and buoyancy modes in the core, are remarkable because they allow for…

Solar and Stellar Astrophysics · Physics 2023-10-04 Siddharth Dhanpal , Othman Benomar , Shravan Hanasoge , Masao Takata , Subrata Panda , Abhisek Kundu

Constraining stellar models using asteroseismic and spectroscopic observations is a powerful method for precisely determining the fundamental properties of stars in different kinematic components of our galaxy. We use spectroscopy and…

Solar and Stellar Astrophysics · Physics 2026-03-05 Christopher J. Lindsay , J. M. Joel Ong , Sarbani Basu , Samuel Grunblatt , Marc Hon

We consider the dynamical evolution of two planets orbiting in the vicinity of a first order mean motion reso- nance while simultaneously undergoing eccentricity damping and convergent migration. Following Goldreich & Schlichting (2014), we…

Earth and Planetary Astrophysics · Physics 2015-09-23 Katherine M. Deck , Konstantin Batygin