On the rotation of ONC stars in the Tsallis formalism context

TL;DR

This paper derives a theoretical distribution for stellar rotation velocities using Tsallis formalism, compares it with observations from the ONC, and explores the relation between the Tsallis parameter and cluster age.

Contribution

It introduces a novel application of Tsallis formalism to model stellar rotation distributions and links the parameter q to the age of star clusters.

Findings

The distribution accurately matches observational data.

The parameter q correlates with the cluster's age.

The method provides a new way to estimate stellar rotation properties.

Abstract

The theoretical distribution function of the projected rotational velocity is derived in the context of the Tsallis formalism. The distribution is used to estimate the average <sin i> for a stellar sample from the Orion Nebula Cloud (ONC), producing an excellent result when compared with observational data. In addition, the value of the parameter q obtained from the distribution of observed rotations reinforces the idea that there is a relation between this parameter and the age of the cluster.