A full-sky 20pc census of stars & BDs

We create a census of objects within a Sun-centered sphere of 20pc radius and check published literature to decompose each binary or higher-order system into its separate components.

The result is a volume-limited census of ~3600 individual star formation products useful in measuring the initial mass function across the stellar (<8M_{sun}_) and substellar (>~5M_Jup_) regimes. Comparing our resulting initial mass function to previous measurements shows good agreement above 0.8M_{sun}_ and a divergence at lower masses. Our 20pc space densities are best fit with a quadripartite power law, {xi}(M)=dN/dM{propto}M^-{alpha}^, with long-established values of {alpha}=2.3 at high masses (0.55<M<8.00M_{sun}_), and {alpha}=1.3 at intermediate masses (0.22<M<0.55M_{sun}_), but at lower masses, we find {alpha}=0.25 for 0.05<M<0.22M_{sun}_, and {alpha}=0.6 for 0.01<M<0.05M_{sun}_.