Abstract

Context. Solar simulations and observations show that the detection of long-period Earth-like planets is expected to be very difficult with radial velocity techniques in the solar case because of activity. The inhibition of the convective blueshift in active regions (which is then dominating the signal) is expected to decrease toward lower mass stars, which would provide more suitable conditions. Aims. In this paper we build synthetic time series to be able to precisely estimate the effects of activity on exoplanet detectability for stars with a wide range of spectral type (F6-K4) and activity levels (old main-sequence stars). Methods. We simulated a very large number of realistic time series of radial velocity, chromospheric emission, photometry, and astrometry. We built a coherent grid of stellar parameters that covers a wide range in the (B–V, Log R′HK) space based on our current knowledge of stellar activity, to be able to produce these time series. We describe the model and assumptions in detail. Results. We present first results on chromospheric emission. We find the average Log R′HK to correspond well to the target values that are expected from the model, and observe a strong effect of inclination on the average Log R′HK (over time) and its long-term amplitude. Conclusions. This very large set of synthetic time series offers many possibilities for future analysis, for example, for the parameter effect, correction method, and detection limits of exoplanets.

Highlights

  • It is well recognized that stellar activity strongly affects the detectability of exoplanets

  • We have proposed a model to produce realistic time series of different variables (RV, photometry, astrometry, and chromospheric emission) that represent complex activity patterns for a wide range of stars

  • We have described the model in detail: a specificity of our simulations is that we use consistent parameter sets for a wide range of stars, that is, old F6-K4 star with different activity levels

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Summary

Introduction

It is well recognized that stellar activity strongly affects the detectability of exoplanets. More sophisticated models describing the full behavior of the activity that causes the RV variations are needed, to estimate the effect of stellar activity more quantitatively and to test analysis and correction methods. Such models have been made for the Sun (Borgniet et al 2015) and for a few configurations of other stars (Dumusque 2016; Dumusque et al 2017).

General principles
F7 F8 F9 G0 G1 G2 G3 G4 G5 G6 G7 G8 G9 K0 K1 K2 K3 K4 Spectral type
Fundamental stellar parameters
Lower limit in Log RHK
Log RHK values between the lower and upper limits
Rotation period versus B–V and Log RHK
Differential rotation and latitude coverage
Differential rotation versus temperature
Maximum latitude
Antisolar rotation
Cycle properties
Cycle period
Cycle amplitude
Small-scale convection level and convective blueshift
Spot temperature
Plage contrasts
2.10. Other parameters
Filling factor and photometric and radial velocity time series
Temporal sampling and duration
19 B–V 1 law – 1 activity level 3θ 57
Principle
Oscillations
Granulation
Supergranulation
RV jitter caused by the OGS signal
Objectives and principle
Principle of the chromospheric emission model
Comparison between objective and realization
Dependence on inclination
Example of RV and Log RHK time series
Conclusion
Photometry of the spots and plages
Astrometric displacements
Model for a G2 star
S-index for other stars
Findings
Possible intrisinc chromospheric variability versus B–V?

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