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A test of the asteroseismic numax scaling relation for solar-like oscillations in main-sequence and sub-giant stars
- Publication Year :
- 2015
-
Abstract
- 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 relation for the global asteroseismic parameter $\nu_{\rm max}$, the frequency at which a solar-like oscillator presents its strongest observed pulsation amplitude. The classic relation assumes that this characteristic frequency scales with a particular combination of surface gravity and effective temperature that also describes the dependence of the cut-off frequency for acoustic waves in an isothermal atmosphere, i.e., $\nu_{\rm max} \propto gT_{\rm eff}^{-1/2}$. We test how well the oscillations of cool main-sequence and sub-giant stars adhere to this relation, using a sample of asteroseismic targets observed by the NASA \emph{Kepler} Mission. Our results, which come from a grid-based analysis, rule out departures from the classic $gT_{\rm eff}^{-1/2}$ scaling dependence at the level of $\simeq 1.5\,\rm per cent$ over the full $\simeq 1560\,\rm K$ range in $T_{\rm eff}$ that we tested. There is some uncertainty over the absolute calibration of the scaling. However, any variation with $T_{\rm eff}$ is evidently small, with limits similar to those above.<br />Comment: 11 pages, 6 figures; accepted for publication in MNRAS
- Subjects :
- Astrophysics - Solar and Stellar Astrophysics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1505.06087
- Document Type :
- Working Paper