The Eotvos effect is caused by the rotation of the earth, but this is not to be confused with the Coriolis effect. While Coriolis is related to the effects caused by the earth, it is on a horizontal plane. Eotvos effect is a vertical change in target position that at long distances could cause a miss on a target. The following examples explain the Eotvos effect.
Notice that when shooting eastwards that the effect causes the impact to move up. However, while shooting westwards the impact has a tendency to move down.