At the Moment of a Total Eclipse, the Moon Lies

Short Answer

At the moment of a total eclipse, the moon lies along a line from the Earth to the Sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the Sun and Moon?
M_Sun = 2.0 × 1030 kg,
r_S-E = 1.5 × 108 km
M_Moon = 7.4 × 1022 kg,
r_M-E = 3.8 × 105 km