Very Wide Binaries and Other Comoving Stellar Companions: A Bayesian Analysis of the Hipparcos Catalogue
Ed Shaya, Rob Olling

TL;DR
This paper introduces Bayesian methods to identify and analyze wide and comoving stellar companions in the Hipparcos Catalogue, revealing previously unnoticed companions and providing new insights into stellar associations within 100 parsecs.
Contribution
Develops Bayesian statistical techniques for detecting and assigning probabilities to stellar companions, including escaped and wide pairs, using Hipparcos data.
Findings
Identifies ~220 high-probability companions within 0.01-1 pc.
Provides first evidence for ~300 companions separated by 1-8 pc.
Discovers known and new stellar pairs, including naked-eye and faint companions.
Abstract
We develop Bayesian statistical methods for discovering and assigning probabilities to non-random (e.g., physical) stellar companions. These companions are either presently bound or were previously bound. The probabilities depend on similarities in corrected proper motion parallel and perpendicular to the brighter component's motion, parallax, and the local phase-space density of field stars. Control experiments are conducted to understand the behavior of false positives. The technique is applied to the Hipparcos Catalogue within 100 pc. This is the first all-sky survey to locate escaped companions still drifting along with each other. In the <100 pc distance range, ~220 high probability companions with separations between 0.01 - 1 pc are found. The first evidence for a population (~300) of companions separated by 1 - 8 pc is found. We find these previously unnoticed naked-eye…
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