That is definitely on the right track, the only problem with that is the September Equinox is rarely on the 21st, pretty much only on the 23rd (the 22nd only on leap year). For 1979, 1982 (when the show premiered), and 1986, all those equinoxes are on the 23rd. The show never gives an exact year, just the "early 60's", but if it's taking place in either 1960 (when the original movie was made) or 1964, the equinox would be the 22nd making the eclipse then be taking place on the last official day of summer.