The Milky Way Satellite Luminosity Function: A Fitted Classical Slope and What It Extrapolates To

This paper computes a uniform set of quantities for dwarf and ultra-faint satellite galaxies and compares them with expectations stated in advance. The headline values obtained are: alpha classical = 0.456; N observed total = 20; N classical MV le -8.5 = 9; N extrapolated to MV -2 = 125. All inputs are published values compiled from the Local Group literature; all arithmetic is performed by the deposited script, which writes the full per-object table used throughout the text. The study is a computation on published data within a stated cosmological framework, not a new observation: it is simulated and modelled, not measured. Where the framework supplies no relevant quantity at dwarf-galaxy scales, that absence is reported as part of the result rather than passed over.