The official notes, PDF p. 7, handwritten p. 1 derive the affine choice of coordinate time and the circular-orbit angular velocity from the geodesic equations.
The official notes, PDF pp. 7–8, handwritten pp. 1–2 calculate both elapsed proper times and their weak-field ratio for satellite A and the polar station.
The official notes, PDF pp. 8–9, handwritten pp. 2–3 calculate the geostationary satellite/station proper time ratio, including the equatorial station's rotation. They explicitly correct the formula printed in the paper; the printed target is not the first-order result of the stated Schwarzschild metric.
The official notes, PDF p. 9, handwritten p. 3 compare the two clock ratios and identify the station's rotational contribution. PDF p. 10, handwritten p. 3a, separately clarifies the normalization when coordinate time is the affine parameter.
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