Spatial distribution of stars and brown dwarfs in sigma Orionis
Jose A. Caballero

TL;DR
This study analyzes the spatial distribution of stars and brown dwarfs in sigma Orionis, revealing a two-component structure with a dense core and a halo, and identifying asymmetries and mass segregation within the cluster.
Contribution
It provides a detailed radial distribution analysis of cluster members, highlighting a core-halo structure and mass segregation, with implications for cluster formation models.
Findings
Cluster has a dense core and a rarified halo.
Radial distribution in the core follows a power-law r^1.
Massive stars concentrate towards the center, with low-mass deficit.
Abstract
I have re-visited the spatial distribution of stars and high-mass brown dwarfs in the sigma Orionis cluster (~3 Ma, ~360 pc). The input was a catalogue of 340 cluster members and candidates at separations less than 30 arcmin to sigma Ori AB. Of them, 70 % have features of extreme youth. I fitted the normalised cumulative number of objects counting from the cluster centre to several power-law, exponential and King radial distributions. The cluster seems to have two components: a dense core that extends from the centre to r ~ 20 arcmin and a rarified halo at larger separations. The radial distribution in the core follows a power-law proportional to r^1, which corresponds to a volume density proportional to r^(-2). This is consistent with the collapse of an isothermal spherical molecular cloud. The stars more massive than 3.7 Msol concentrate, however, towards the cluster centre, where…
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