Abstract

Spectroscopic observations of a solar eclipse can provide unique information for solar and exoplanet research; the huge amplitude of the Rossiter-McLaughlin (RM) effect during solar eclipse and the high precision of solar radial velocities (RVs) allow detailed comparison between observations and RV models, and they provide information about the solar surface and about spectral line formation that are otherwise difficult to obtain. On March 20, 2015, we obtained 159 spectra of the Sun as a star with the solar telescope and the Fourier Transform Spectrograph at the Institut für Astrophysik Göttingen, 76 spectra were taken during partial solar eclipse. We obtained RVs using I2 as wavelength reference and determined the RM curve with a peak-to-peak amplitude of almost 1.4 km s-1 at typical RV precision better than 1 m s-1. We modeled the disk-integrated solar RVs using well-determined parameterizations of solar surface velocities, limb darkening, and information about convective blueshift from 3D magnetohydrodynamic simulations. We confirm that convective blueshift is crucial to understand solar RVs during eclipse. Our best model reproduced the observations to within a relative precision of 10% with residuals lower than 30 m s-1. We cross-checked parameterizations of velocity fields using a Dopplergram from the Solar Dynamics Observatory and conclude that disk-integration of the Dopplergram does not provide correct information about convective blueshift necessary for m s-1 RV work. As main limitation for modeling RVs during eclipses, we identified limited knowledge about convective blueshift and line shape as functions of solar limb angle. We suspect that our model line profiles are too shallow at limb angles larger than μ = 0.6, resulting in incorrect weighting of the velocities across the solar disk. Alternative explanations cannot be excluded, such as suppression of convection in magnetic areas and undiscovered systematics during eclipse observations. To make progress, accurate observations of solar line profiles across the solar disk are suggested. We publish our RVs taken during solar eclipse as a benchmark curve for codes calculating the RM effect and for models of solar surface velocities and line profiles.

Highlights

  • The observation of radial velocities (RVs) of the Sun as a star is gaining interest in both solar and exoplanet communities

  • We argue that Helioseismic and Magnetic Imager (HMI) Dopplergrams are not a useful source of information for accurate RVs because (i) Dopplergrams exhibit a number of systematic effects across the solar disk that can introduce errors of up to a few 100 m s−1 between different areas on the disk; (ii) there is a significant systematic difference between the observation of a stellar or solar disk-integrated RV and the integration of Dopplergram RVs for individually resolved disk areas

  • Model 3 uses the full calculation of line profiles, and model 4 again is similar to models 1 and 2, but uses velocity fields taken from satellite observations

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Summary

Introduction

The observation of radial velocities (RVs) of the Sun as a star is gaining interest in both solar and exoplanet communities. The Sun provides an invaluable reference for understanding the influence of stellar surface velocity fields and active regions because it is possible to relate precision RV observations to spatially resolved solar surface information (Meunier et al 2010b; Haywood et al 2016). A planetary transit can be used to observe local stellar line profiles (Dravins et al 2015), and in the same sense, observations of the eclipsed Sun provide a unique opportunity to gather information about local solar line profiles and about the influence of convective blueshift on RM measurements. Convective flows can be suppressed in the presence of magnetic fields (Livingston 1982), with the consequence that magnetic areas affect RV observations of active stars and the Sun. we assume in our work that the geometry of the eclipse as well as surface rotation and granulation velocity fields are correctly known from independent information. As the most critical parameters for modeling solar RVs we identify line intensity changes across the solar disk and the dependence of convective blueshift on solar limb angle

Instrument
Observations
Measuring radial velocities
Solar and lunar ephemeris
Limb darkening and velocity fields
Latitude
Solar surface observations
Radial velocity calculation
Rossiter-McLaughlin curve
Standard line model
Standard line model with convective blueshift
Line profile model
Solar velocity fields from HMI observations
Line profiles
Summary
Full Text
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