I have chronicled my efforts to reproduce the work of Sir Arthur Eddington in confirming the predictions of Einstein’ General Relativity Theory. Here are some entry points.
Intro to the Modern Eddington Experiment
Intro to celestial coordinates
The overall step by step plan to measure star deflections
Step EE-1, Detect the star locations in a photograph
Step EE-2: Transform to reference coordinates
Step EE-3: Finding the best fit