During a Solar eclipse shadow bands are seen to race across the ground as totality approaches. These shadow bands travel rapidly across the fields as the total eclipse approachs. The moon's shadow itself approaches at 1700 mph. The passage of the shadow bands represents a very short duration of time represented in nature. I think that the hare is also a powerful fertility symbol.
Rabbits multiply rapidly.
The connection of the Hare with Priesthood is that the KIng is the giver of fertility. The King as a Priest is supposed to control the fertility of the land. I smite with the sceptre, I rule with my staff, and I lead the servants of Re. Hope this helps. Sorry for the delay in responding to your post.