An earth sized planet in the habitable zone between two stars has no moon (and even if it has, it is not significant to the story) and is tidally locked to star A but not star B. Can it still have a solar eclipse w.r.t A getting eclipsed (possibly by B)
The side of planet facing A is aa. The side facing away from A is bb.
Star A is bigger than B and B is too far away to sufficiently heat up the side bb. So
(1) what happens to aa on the day of the eclipse? Does it become as cold as bb? (2) does the wind pattern change on the day of the eclipse with both sides going cold? (3) can only A be eclipsed and B not ever be eclipsed?
Edit: will it be possible to have A eclipsed if B is not farther away but much smaller?