Rotation-Activity Correlations in K-M dwarfs. I.

In this paper, our goal is to focus on the determination of these parameters for a sample of K and M dwarfs. In a future paper (PaperII; Houdebine+, 2017, J/ApJ/837/96), we will combine our rotational data with activity data in order to construct RACs.

Here, we report on a determination of effective temperatures based on the (R-I)_C_ color from the calibrations of Mann+ (2015, J/ApJ/804/64) and Kenyon & Hartmann (1995, J/ApJS/101/117) for four samples of late-K, dM2, dM3, and dM4 stars. We also determine stellar parameters (T_eff_, log(g), and [M/H]) using the principal component analysis-based inversion technique for a sample of 105 late-K dwarfs. We compile all effective temperatures from the literature for this sample.