A file of elements for all solar eclipses from -1999 to 3000 is available here; the first line shows the eclipse date, the hour (in TD) that the time series are based on, Julian Date (in TD) of maximum eclipse, minimum distance of the Moon to the Earth's center (in Earth radii), the Saros series, DT, and the type of eclipse; the following columns show the time series for the elements (x y d µ l1 l2), with tanf1 and tanf2 in the final column. The format is modified from Meeus, J. (1989), Elements of solar eclipses, 1951-2200, Willmann-Bell.
The full series of the VSOP87 solar theory and the ELP-2000/82 lunar theory have been employed to compute the solar and lunar coordinates. For the calculation of the total and annular phases (umbral cone), the value k = 0.272274 for the Moon's radius was adopted. For the partial phases (penumbral cone), the value k = 0.272481 was used. The Sun's semi-diameter at unit distance was assumed to be 959.63".
As an example, this site shows how the time series for the 2026 Aug. 12 total solar eclipse are to be implemented.