The percentage change in the acceleration of the earth towards the Sun from a total eclipse of the Sun to the point where the Moon is on a side of earth directly opposite to the Sun is (Take r1 as the distance between the sun and the earth, r2 as the distance between the earth and the moon, Ms , Me and Mm are the masses of the sun, the earth and the moon respectively)

During total eclipse, total attraction on the Earth due to the Sun and the Moon,   F1=GMsMer12+GMmMer22When the Moon goes on the opposite side of the earth, the effective force of attraction isF2=GMsMer12−GMmMer22Change in force, ΔF=F1−F2=2GMmMer22Change in acceleration of the earth,Δa=ΔFMe=2GMmr22Average force on the earth,Fav=F1+F22=GMsMer12Average acceleration of the earth,aav=FavMe=GMsr12Percentage change in acceleration isΔaaav×100=2GMmr22×r12GMs×100=2r1r22MmMs×100