Intracluster Entropy Profiles: Measuring the Excess Above the Gravitational Baseline

This paper computes measuring the excess above the gravitational baseline from stated published inputs, with every number produced by the deposited script. The headline results are: self-similar entropy scale at r500 for the 6 keV cluster = 1.2e+03 keV cm^2, profile entropy at 50 kpc = 139 keV cm^2, entropy excess factor at 50 kpc = 2.68, entropy excess factor at 1200 kpc = 1.22, profile entropy of the group at 300 kpc = 418 keV cm^2, group entropy excess at half its r500 = 2.62. 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.