A simple linear model to aid in analyses of the Beta Pictoris moving group. (arXiv:2205.06789v1 [astro-ph.SR])
<a href="http://arxiv.org/find/astro-ph/1/au:+Nascimento_J/0/1/0/all/0/1">Josina O. do Nascimento</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Barbosa_V/0/1/0/all/0/1">Valmir C. Barbosa</a>

We consider the Beta Pictoris moving group (BPMG) as compiled by Shkolnik et
al. [2017, Astron. J., 154, 69] and build a four-dimensional linear model of
its membership based on two nested applications of Principal Component Analysis
(PCA) to high-quality data on about 1.5 million objects. These data contain the
objects’ galactic space velocities and also the Gaia $G$ magnitude. Through
PCA, they ultimately result in a four-dimensional straight line, referred to as
PC $1’$, about which members of the BPMG congregate at generally small
distances. Using a standard procedure to flag groups of outliers in data sets,
we show that the objects flagged based on such distances are consistent with
the BPMG compilation in use. We propose that PC $1’$ be added to the tool set
for BPMG analyses and potentially extended to other young stellar moving
groups.

We consider the Beta Pictoris moving group (BPMG) as compiled by Shkolnik et
al. [2017, Astron. J., 154, 69] and build a four-dimensional linear model of
its membership based on two nested applications of Principal Component Analysis
(PCA) to high-quality data on about 1.5 million objects. These data contain the
objects’ galactic space velocities and also the Gaia $G$ magnitude. Through
PCA, they ultimately result in a four-dimensional straight line, referred to as
PC $1’$, about which members of the BPMG congregate at generally small
distances. Using a standard procedure to flag groups of outliers in data sets,
we show that the objects flagged based on such distances are consistent with
the BPMG compilation in use. We propose that PC $1’$ be added to the tool set
for BPMG analyses and potentially extended to other young stellar moving
groups.

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