Hydrostatic Masses from X-Ray Temperature and Density Profiles: The Weighing of Clusters and Its Bias Budget

This paper computes the weighing of clusters and its bias budget from stated published inputs, with every number produced by the deposited script. The headline results are: hydrostatic mass within 500 kpc = 2.25e+14 solar masses, hydrostatic mass within 1000 kpc = 4.02e+14 solar masses, gas mass fraction within 500 kpc = 0.158, total mass implied if the hydrostatic estimate is 20 percent low = 2.81e+14 solar masses, temperature at 500 kpc = 5.73 keV. 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.