# Rotation of Late-Type Stars in Praesepe with K2

## TL;DR

This study analyzes rotation periods of stars in Praesepe using K2 data, revealing how stellar rotation varies with mass and age, and comparing it to the Pleiades cluster to understand stellar spin-down evolution.

## Contribution

It provides a large, detailed measurement of stellar rotation periods in Praesepe, expanding the sample fourfold and offering new insights into the rotation-mass relationship at 790 Myr.

## Key findings

- Rotation period distribution varies with stellar mass.
- Praesepe stars are generally slower rotators than Pleiades stars.
- Multiple periodicities are common, especially in higher-mass stars.

## Abstract

We have Fourier analyzed 941 K2 light curves of likely members of Praesepe, measuring periods for 86% and increasing the number of rotation periods (P) by nearly a factor of four. The distribution of P vs. (V-K), a mass proxy, has three different regimes: (V-K)<1.3, where the rotation rate rapidly slows as mass decreases; 1.3<(V-K)<4.5, where the rotation rate slows more gradually as mass decreases; and (V-K)>4.5, where the rotation rate rapidly increases as mass decreases. In this last regime, there is a bimodal distribution of periods, with few between $\sim$2 and $\sim$10 days. We interpret this to mean that once M stars start to slow down, they do so rapidly. The K2 period-color distribution in Praesepe ($\sim$790 Myr) is much different than in the Pleiades ($\sim$125 Myr) for late F, G, K, and early-M stars; the overall distribution moves to longer periods, and is better described by 2 line segments. For mid-M stars, the relationship has similarly broad scatter, and is steeper in Praesepe. The diversity of lightcurves and of periodogram types is similar in the two clusters; about a quarter of the periodic stars in both clusters have multiple significant periods. Multi-periodic stars dominate among the higher masses, starting at a bluer color in Praesepe ((V-K)$\sim$1.5) than in the Pleiades ((V-K)$\sim$2.6). In Praesepe, there are relatively more light curves that have two widely separated periods, $\Delta P >$6 days. Some of these could be examples of M star binaries where one star has spun down but the other has not.