Someday, Earth Will Have a Final Total Solar Eclipse

bad news, the number of total solar eclipses are limited.

good news, you've got another 4 billion years left to enjoy them.

other news, it's very difficult to calculate because the moon's growing distance from earth (as it escapes earths velocity) doesn't change at a constant rate.

The moon is drifting away from Earth, so our nearest celestial neighbor will one day, millions or even billions of years in the future, appear too small in the sky to completely obscure the sun. Calculating the date of the last total solar eclipse is a serious computational challenge involving a variety of scientific disciplines and significant uncertainty.