Why aren't solar eclipses seperated by one saros cycle visible from the same location on Earth?

Question

Why aren't solar eclipses seperated by one saros cycle visible from the same location on Earth?

Answer 1

Because the saros cycle is not an integral multiple of 1 day.

Answer 2

The length of the Saros period is 6585⅓ days, which is 18 years and 10⅓ or 11⅓ days (depending on the number of leap years in the interval). When determining eclipse visiblity it's the ⅓ of a day which is important in this case because it means that the Earth has rotated about 120 degrees, so the shadow falls roughly 120 degrees to the west of the longitude of the previous eclipse. After 3 Saros cycles, the longitude returns to roughly the same value but the latitude will have changed because there is always a north or south drift of the track between successive eclipses of the same Saros.