Interesting question. Isn’t the earths shadow path the ecliptic.?
Maybe not linear as the shadow and starfield rotation is the earths orbit and the sidereal day the earths rotation? Too complicated for me.
https://skyandtelescope.org/observin...ipses-in-2021/
Solar eclipse in December sounds interesting.
Edit. You can do an “airborne intercept of the totally eclipsed sun” sounds like Douglas Adams