Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Model-Independent Mass and Moderate Eccentricity for $\beta$ Pic b   We use a cross-calibration of Hipparcos and Gaia DR2 astrometry for $\beta$
Pic to measure the mass of the giant planet $\beta$ Pic b $(13\pm3$ $M_{\rm
Jup})$ in a comprehensive joint orbit analysis that includes published relative
astrometry and radial velocities. Our mass uncertainty is somewhat higher than
previous work because our astrometry from the Hipparcos-Gaia Catalog of
Accelerations accounts for the error inflation and systematic terms that are
required to bring the two data sets onto a common astrometric reference frame,
and because we fit freely for the host-star mass $(1.84\pm0.05$ $M_{\odot})$.
This first model-independent mass for a directly imaged planet is inconsistent
with cold-start models given the age of the $\beta$ Pic moving group $(22\pm6$
Myr) but consistent with hot- and warm-start models, concordant with past work.
We find a higher eccentricity $(0.24\pm0.06)$ for $\beta$ Pic b compared to
previous orbital fits. If confirmed by future observations, this eccentricity
may help explain inner edge, scale height, and brightness asymmetry of $\beta$
Pic's disk. It could also potentially signal that $\beta$ Pic b has migrated
inward to its current location, acquiring its eccentricity from interaction
with the 3:1 outer Lindblad resonance in the disk.

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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg