# Characterisation of the radial velocity signal induced by rotation in late-type dwarfs

## TL;DR

This study examines how stellar rotation influences activity signals in late-type stars, analyzing spectroscopic and photometric data to understand the relationship between chromospheric activity and radial velocity variations across different spectral types.

## Contribution

It provides an empirical relationship between chromospheric emission levels and radial velocity signals, highlighting spectral type dependencies in activity-induced signals.

## Key findings

- Radial velocity signals induced by rotation are detected in 37 stars.
- A spectral type-dependent relationship exists between chromospheric activity and radial velocity amplitude.
- M-type stars exhibit larger activity-induced radial velocity signals than G and K-type stars at similar activity levels.

## Abstract

We investigate the activity induced signals related to rotation in late type stars (FGKM). We analyse the Ca II H&K, the H alpha and the radial velocity time-series of 55 stars using the spectra from the HARPS public database and the light-curves provided by the ASAS survey. We search for short term periodic signals in the time-series of activity indicators as well as in the photometric light-curves. Radial velocity data sets are then analysed to determine the presence of activity induced signals. We measure a radial velocity signal induced by rotational modulation of stellar surface features in 37 stars, from late F-type to mid M-type stars. We report an empirical relationship, with some degree of spectral type dependency, between the mean level of chromospheric emission measured by the log(Rhk) and the measured radial velocity semi amplitude. We also report a relationship betweeen the semi amplitude of the chromospheric measured signal and the semi amplitude of the radial velocity induced signal, which strongly depends on the spectral type. We find that for a given strength of chromospheric activity (i.e. a given rotation period) M-type stars tend to induce larger rotation related radial velocity signals than G and K-type stars.