Some sources to supplement the episode on Islamic(ate) astrology on @AbbasidHistory podcast.

1) Abū Maʿshar, Kitāb al-Madkhal al-kabīr ilā ʿilm aḥkām al-nujūm (The Great Introduction to Astrology), edited and translated by Charles Burnett and Keiji Yamamoto, (Brill, 2019)
Abū Maʻshar, Kitāb al-milal wa-al-duwal (On historical astrology : the book of religions and dynasties (on the great conjunctions)), edited and translated by Keiji Yamamoto and Charles Burnett (Leiden : Brill, 2000).
Abū Maʻshar, Madkhal ilá ʻilm aḥkām al-nujūm (The abbreviation of The introduction to astrology : together with the medieval Latin translation of Adelard of Bath), edited and translated by Charles Burnett, Keiji Yamamoto, and Michio Yano (Leiden: Brill, 1994).
On the works of Abū Maʿshar, See, Charles Burnett, ‘Abu Ma‘shar (A.D. 787–886) and His Major Texts on Astrology’, in Kayd: Studies in the History of Mathematics, Astronomy and Astrology in Memory of David Pingree, ed. G. Gnoli and A. Panaino (Rome: 2009), pp. 17–27 (18).
al-Qabīṣī, The introduction to astrology, editions of the Arabic and Latin texts and an English translation, Charles Burnett, Keiji Yamamoto, Michio Yano (London : Warburg Institute, 2004).
For the anecdotes: See, The Faraj al-Mahmūm of Ibn Ṭāwūs, trans. and ed. Zaina Matar, 2 vols. (unpublished doctoral thesis, New York University, 1987).
On the profession of astrology in medieval Islamicate society: see, George Saliba, “The Role of the Astrologer in Medieval Islamic Society” Bulletin d'études orientales, T. 44, SCIENCES OCCULTES ET ISLAM (1992), pp. 45-67. [Available here: https://www.academia.edu/11554633/Role_of_the_Astrologer_in_Medieval_Islamic_Society]
On the historical development on the science of astrology, see, David Pingree, “From astral omens to astrology : from Babylon to Bīnāker”, Istituto italiano per l'Africa et l'Oriente : International Book Centre, 1997. [Available here: https://archive.org/details/Pingree1997/page/n2/mode/2up]
For an outline of Mamluk, Andalusian, and Ottoman astrology see my little entry “‘Islamic Astrology,’ in Astrology through History: Interpreting the Stars from Ancient Mesopotamia to the Present, ed. William E. Burns (ABC-Clio, 2018). There you will find a basic reading list.
Bear in mind, that the state of knowledge on Islamicate astrology is constantly evolving and gaining more nuance. Many scholars have been challenging much of the outdated narratives that dominated the discussion of astrology in the past. See:
Noah Gardiner, “Stars and Saints: The Esotericist Astrology of the Sufi Occultist Aḥmad al-Būnī” Magic, Ritual, and Witchcraft, Volume 12, Number 1, Spring 2017, pp. 39-65 [available here: https://muse.jhu.edu/article/655307/pdf]
Ahmet Tunç Şen, “Astrology in the Service of the Empire: Knowledge, Prognostication, and Politics at the Ottoman Court, 1450s–1550s”, PhD Thesis, University of Chicago, 2016. [available here: https://knowledge.uchicago.edu/record/711?ln=en]
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