Comment by tzs

They could believe that the meaning of the different signs changes as the corresponding constellations change.

For an entertaining science fiction look at that possibility, see season 2 episode 5 of "The Orville". Briefly, they encounter a civilization that believes strongly in astrology, to the point of using it as the basis of a very rigid caste system that pretty much determines at birth what jobs are open to you and what your place will be in society.

I don't want to give any spoilers, but I will say that the question of what happens when a constellation changes is an important one in this episode.