# Bullet Cluster SL-only kappa Reconstruction Baseline # Path B Step 2 — Charles Anthony Hyatt Battiste UM/FUM # USPTO 19/640,364 anchors # z_lens = 0.296 z_source_reference = 2.0 Main NFW: M_200 = 7.000e+14 M_sun Concentration c = 5.0 Rs (arcsec) = 74.142 alpha_Rs (arcsec) = 20.1984 Center: RA=104.6566°, Dec=-55.9504° Bullet NFW: M_200 = 5.000e+14 M_sun Concentration c = 5.0 Rs (arcsec) = 66.275 alpha_Rs (arcsec) = 16.1398 Center: RA=104.5639°, Dec=-55.9462° Grid: 480 × 300 pixels at 1.0 arcsec/pixel Center: RA=104.61025000000001°, Dec=-55.9483° kappa stats: min = 0.038677 max = 2.870492 mean = 0.144925 pixels with kappa > 0.5 = 2549 pixels with kappa > 1.0 (strong-lensing regime) = 191 SL constraints used: 146 image rows, 55 source systems Notes: This is a LITERATURE-INFORMED baseline using 2-NFW parametric model. Mass values from Bradac 2006 (M(<250 kpc) main = 2.8e14, bullet = 2.3e14). NOT a fit to SL constraints — that requires MCMC sampling (next iteration). This baseline provides reference kappa_observed for kappa_residual comparison.