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  1. Abstract

    Stellar mass is a fundamental parameter that is key to our understanding of stellar formation and evolution, as well as the characterization of nearby exoplanet companions. Historically, stellar masses have been derived from long-term observations of visual or spectroscopic binary star systems. While advances in high-resolution imaging have enabled observations of systems with shorter orbital periods, measurements of stellar masses remain challenging, and relatively few have been precisely measured. We present a new statistical approach to measuring masses for populations of stars. Using Gaia astrometry, we analyze the relative orbital motion of >3800 wide binary systems comprising low-mass stars to establish a mass–magnitude relation in the GaiaGRPband spanning the absolute magnitude range 14.5 >MGRP> 4.0, corresponding to a mass range of 0.08MM≲ 1.0M. This relation is directly applicable to >30 million stars in the Gaia catalog. Based on comparison to existing mass–magnitude relations calibrated forKsmagnitudes from the Two Micron All Sky Survey, we estimate that the internal precision of our mass estimates is ∼10%. We use this relation to estimate masses for a volume-limited sample of ∼18,200 stars within 50 pc of the Sun and the present-day field mass function for stars withM≲ 1.0M, which we find peaks at 0.16M. We investigate a volume-limited sample of wide binary systems with early-K dwarf primaries, complete for binary mass ratiosq> 0.2, and measure the distribution ofqat separations >100 au. We find that our distribution ofqis not uniform, rather decreasing towardq= 1.0.

     
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  2. Abstract

    The hot Jupiter HD 217107 b was one of the first exoplanets detected using the radial velocity (RV) method, originally reported in the literature in 1999. Today, precise RV measurements of this system span more than 20 years, and there is clear evidence of a longer‐period companion, HD 217107 c. Interestingly, both the short‐period planet (Pb ∼ 7.13 d) and long‐period planet (Pc ∼ 5059d) have significantly eccentric orbits (eb ∼ 0.13andec ∼ 0.40). We present 42 additional RV measurements of this system obtained with the MINERVA telescope array and carry out a joint analysis with previously published RV measurements from four different facilities. We confirm and refine the previously reported orbit of the long‐period companion. HD 217107 b is one of a relatively small number of hot Jupiters with an eccentric orbit, opening up the possibility of detecting the precession of the planetary orbit due to general relativistic effects and perturbations from other planets in the system. In this case, the argument of periastron,ω, is predicted to change at the level of0.8century−1. Despite the long time baseline of our observations and the high quality of the RV measurements, we are only able to constrain the precession to becentury−1. We discuss the limitations of detecting the subtle effects of precession in exoplanet orbits using RV data.

     
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