X-Ray Binary Luminosity Functions: Integrating the Power Law That Lights Up Galaxies

This paper computes integrating the power law that lights up galaxies from stated published inputs, with every number produced by the deposited script. The headline results are: collective luminosity of the low-mass binary population = 6.28e+39 erg/s, collective luminosity of the high-mass binary population = 2.95e+40 erg/s, high-mass binary luminosity per unit star formation rate = 2.95e+39 erg/s per solar mass per year, expected brightest low-mass binary = 1.81e+38 erg/s, expected brightest high-mass binary = 5.12e+39 erg/s, share of high-mass population luminosity from sources above 1e39 erg/s = 0.617. The calculation is a computation from standard plasma and gravitation physics applied to values reported by Chandra, XMM-Newton and eROSITA studies; it is simulated and computed, not measured. The inputs, the formulae and the sensitivity of each result to its assumptions are stated in full, so that the arithmetic can be checked, rerun with different inputs, and used as a reference for the systems concerned.