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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

In this paper a general theory for interpolation methods on a rectangular grid is introduced. By the use of this theory an efficient B-spline based interpolation method for spectral codes is presented. The theory links the order of the…

Computational Physics · Physics 2012-01-20 M. A. T. van Hinsberg , J. H. M. ten Thije Boonkkamp , F. Toschi , H. J. H. Clercx

Most characterizations of interpolating sequences for Bergman spaces include the condition that the sequence be uniformly discrete in the hyperbolic metric. We show that if the notion of interpolation is suitably generalized, two of these…

Complex Variables · Mathematics 2014-12-03 Daniel H. Luecking

In order to improve the asteroseismic modelling efforts for red-giant stars, the numerical computation of theoretical individual oscillation modes for evolved red-giant models has to be made feasible. We aim to derive a method for…

Solar and Stellar Astrophysics · Physics 2024-10-30 Jens R. Larsen , Jørgen Christensen-Dalsgaard , Mia S. Lundkvist , Jakob L. Rørsted , Mark L. Winther , Hans Kjeldsen

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

In the age of Kepler and Corot, extended observations have provided estimates of stellar pulsation frequencies that have achieved new levels of precision, regularly exceeding fractional levels of a few parts in $10^{4}$. These high levels…

Solar and Stellar Astrophysics · Physics 2015-06-22 G. R. Davies , R. Handberg , A. Miglio , T. L. Campante , W. J. Chaplin , Y. Elsworth

A class of spectral subgrid models based on a self-similar and reversible closure is studied with the aim to minimize the impact of subgrid scales on the inertial range of fully developed turbulence. In this manner, we improve the scale…

Fluid Dynamics · Physics 2019-07-19 Luca Biferale , Fabio Bonaccorso , Michele Buzzicotti , Kartik P. Iyer

Solar filament oscillations have been known for decades. Now thanks to the new capabilities of the new telescopes, these periodic motions are routinely observed. Oscillations in filaments show key aspects of their structure. A systematic…

Solar and Stellar Astrophysics · Physics 2022-10-26 Manuel Luna , Joan-René Merou Mestre , Frédéric Auchère

Measuring stellar inclinations is fundamental to understand planetary formation and dynamics as well as physical conditions during star formation. Oscillation spectra of red giant stars exhibit mixed modes that have both a gravity component…

Solar and Stellar Astrophysics · Physics 2021-01-27 C. Gehan , B. Mosser , E. Michel , M. S. Cunha

The theoretical oscillation frequencies of even the best asteroseismic models of solar-like oscillators show significant differences from observed oscillation frequencies. Structure inversions seek to use these frequency differences to…

Solar and Stellar Astrophysics · Physics 2024-02-02 Lynn Buchele , Earl P. Bellinger , Saskia Hekker , Sarbani Basu , Warrick Ball , Jørgen Christensen-Dalsgaard

In the last years, space missions such as COROT, Kepler or MOST have provided very accurate photometric observational data. In the particular case of $\delta$ Scuti stars, the observed frequency spectra have hundreds (if not thousands) of…

Solar and Stellar Astrophysics · Physics 2015-03-13 A. Moya , A. García Hernández , J. -C. Suárez , C. Rodríguez-López , R. Garrido

Asteroseismology provides powerful means to probe stellar interiors. The oscillations frequencies are closely related to stellar interior properties via the density and sound speed profiles. Since these are tightly linked with the mass and…

Astrophysics · Physics 2015-05-13 Yveline Lebreton , Josefina Montalban

We present a new method for replacing the outermost layers of stellar models with interpolated atmospheres based on results from 3D simulations, in order to correct for structural inadequacies of these layers. This replacement is known as…

We have investigated the effects of uniform rotation and a specific model for differential rotation on the pulsation frequencies of 10 \Msun\ stellar models. Uniform rotation decreases the frequencies for all modes. Differential rotation…

Astrophysics · Physics 2011-02-11 C. C. Lovekin , R. G. Deupree , M. J. Clement

The oscillation frequencies observed in Sun-like stars are susceptible to being shifted by magnetic activity effects. The measured shifts depend on a complex relationship involving the mode type, the field strength and spatial distribution…

Solar and Stellar Astrophysics · Physics 2021-02-17 Alexandra E. L. Thomas , William J. Chaplin , Sarbani Basu , Ben Rendle , Guy Davies , Andrea Miglio

In the convective envelopes of relatively cool stars, oscillations are excited by turbulent convection. In these so-called solar-like oscillators, radial oscillation modes appear at nearly equally spaced frequencies. This spacing is…

Solar and Stellar Astrophysics · Physics 2026-05-06 S. Hekker , Y. Elsworth , S. Basu , F. Ahlborn , W. H. Ball , E. P. Bellinger , L. Buchele , F. Espinoza-Rojas

Effects of rotational mode coupling on photometric parameters of stellar oscillations are studied. At moderate rotation rates, a strong coupling between modes of spherical harmonic degree, $\ell$, differing by 2 and of the same azimuthal…

Pulsation models are crucial for the interpretation of spectrophotometric and interferometric observations of Mira variables. Comparing predicted and observed spectra is one way of establishing the validity of such models. In this paper, we…

Astrophysics · Physics 2009-11-10 A. Tej , A. Lancon , M. Scholz , P. R. Wood

While optical and quantum efficiency are on the rise, and spectrographs becoming massively multiplexed, measuring spectral energy distributions of astronomical sources with accuracy remains a challenge. In addition to atmospheric…

Solar and Stellar Astrophysics · Physics 2019-03-19 Carlos Allende Prieto

Since the advent of CoRoT, and NASA Kepler and K2, the number of low- and intermediate-mass stars classified as pulsators has increased very rapidly with time, now accounting for several $10^4$ targets. With the recent launch of NASA TESS…

Solar and Stellar Astrophysics · Physics 2019-03-25 Enrico Corsaro
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