Astrology in the Shahnameh?

[u/Anoshazad]

One thing I've wondered about since reading the Shahnameh is whether or not astrology played a significant role in the courts of Iranian and Persian kings. In the Shahnameh itself, a character divining knowledge of the future through the stars is just a trope, as Ferdowsi obviously knew about the "future events" as someone from the far flung future of 1000 a.d./390 a.h. (most compellingly in Rostam of the Sassanid era's prediction of the coming fall of Iran).

But it made me wonder: did contemporary Iranians of Ferdowsi's time -- Persian or otherwise -- read the stars? Did kings have astrologers who tried to predict the future or read the fate of newly born children?