Figuring the next solar eclipse

Solar eclipses occur in cycles of 18 years, 11 days, 8 hours. This means after a location experiences a solar eclipse, another can be expected at the same location 18 years and 11 days later, but 8 hours later in the day. This cycle is called a saros.

After a solar eclipse, in 9 years and 5.5 days (a half saros) a lunar eclipse will occur in the same area.

One may experience other eclipses during a saros cycle, but they will not be identical to the ones referenced above. Each one will have its own saros cycle, appropriate for its own earth-moon-sun orientation.

One may find added information about this on Wikipedia and other sources.