is it not a fact meanwhile that the declaration of the fixed star positions by Ptolemy was erroneous?
Despite his undeniable achievements it was inevitable that Ptolemy's ideas set out in the Almagest would lead to some astronomical errors. This is because Ptolemy (and anyone following him) was operating under a number of incorrect astronomical assumptions in the Almagest. In summary these were:
1 He assumed the rate of procession was 1 degree per century. We now know the rate is approximately 1 degree every 72 years.
2 Ptolemy stated that the inclination of the Earth's axis is 23'51 whereas in reality we now know it is 23'30.
3 Ptolemy stated that the apogee of the Sun was fixed at around 5'30 Gemini. We now know the apogee of the Sun is not fixed at all.
However, Brady's statement above that astrologers would have just been adding on degrees to Ptolemy's star catalogue until the work of Ulugh Beg and Regiomonus appeared is historically incorrect. By the mid 9th century Islamic astronomers had completely overturned Ptolemy's assumptions and produced a far more accurate astronomical model. Contrary to what many believe Islamic thought did not passively accept Ptolemy's ideas in the Almagest the way Hellenistic and Roman astronomers had.
In particular early 9th Century Islamic astronomers:
1 Calculated the rate of procession to be 1 degree every 66 years which is much closer to the modern figure.
2 They calculated the inclination of the Earth's axis to to be 23'35. This is extremely close to the modern figure calculated at 23'30.
3 They recalculated the apogee of the Sun and found it was actually moving rather than fixed.
Following these reforms the 10th century Persian astromomer
Abd al-Rahman al-Sufi recalculated the position of the fixed stars in his 'Book of Fixed Stars' published in 964.
http://en.wikipedia.org/wiki/Abd_al-Rahman_al-Sufi
http://en.wikipedia.org/wiki/Book_of_Fixed_Stars
As the book was published in Arabic it would have been widely disseminated across the Islamic World and therefore available to astrologers. However, it seems it may never have made its way to Europe as it does not appear to be a source available to the 16th century European astronomers.
Despite this , earlier reformist Islamic astronomical work did have a strong impact on European thinking. For example, the 9th century astronomer
Muhammad ibn J?bir al-Harr?n? al-Batt?n? produced astronomical tables and important astronomical research in a work known as the Zij. This work was a primary influence on Islamic and Jewish astronomers compiling the Alfonsine tables produced in Toledo, for King Alfonso X of Castile in the 13th century. Later this work of al-Batt?n? heavily influenced European astronomers like Tycho Brahe, Johannes Kepler, and Nicholas Copernicus.
From Wikipedia:
Al Battani worked in Syria, at ar-Raqqah and at Damascus, where he died. He was able to correct some of Ptolemy's results and compiled new tables of the Sun and Moon, long accepted as authoritative, discovered the movement of the Sun's apogee, treated the division of the celestial sphere, and introduced, probably independently of the 5th century Indian astronomer Aryabhata, the use of sines in calculation, and partially that of tangents, forming the basis of modern trigonometry. He also calculated the values for the precession of the equinoxes (54.5" per year, or 1? in 66 years) and the inclination of Earth's axis (23? 35'). He used a uniform rate for precession in his tables, choosing not to adopt the theory of trepidation attributed to his colleague Thabit ibn Qurra.
His most important work is his zij, or set of astronomical tables, known as al-Z?j al-S?b? with 57 chapters, which by way of Latin translation as De Motu Stellarum by Plato Tiburtinus (Plato of Tivoli) in 1116 (printed 1537 by Melanchthon, annotated by Regiomontanus), had great influence on European astronomy. The zij is based on Ptolemy's theory, showing little Indian influence. A reprint appeared at Bologna in 1645. Plato's original manuscript is preserved at the Vatican; and the Escorial Library possesses in manuscript a treatise by Al Battani on astronomical chronology.
During his observations for his improved tables of the Sun and the Moon, he discovered that the direction of the Sun's eccentric was changing, which in modern astronomy is equivalent to the Earth moving in an elliptical orbit around the Sun. His times for the new moon, lengths for the solar year and sidereal year, prediction of eclipses, and work on the phenomenon of parallax, carried astronomers "to the verge of relativity and the space age."
Copernicus mentioned his indebtedness to Al-Battani and quoted him, in the book that initiated the Copernican Revolution, the De Revolutionibus Orbium Coelestium.
One interesting point omitted from the above biographical detail is that Al-Battani came from a family who were members of the
Sabian sect, a religious sect of star worshippers from Harran. Being worshipers of the stars meant that the Sabians had a strong motivation for the study of astronomy and astrology.
The limitations in Ptolemy's astronomical observations have led some later thinkers to describe his work as at best inaccurate and at worst fraudulent. For example, In 1753 Tobias Mayer who was working on improved tables for the moon's orbit, noted in a letter to Leonard Euler, fundamental discrepancies in Ptolemy's work. Ptolemy had claimed to have based his theory of the sun's motion on his own careful observations of the equinox on a date equivalent to 26 September 139AD. But later calculations showed that Ptolemy's time for the equinox was 30 hours late.
Mayer had found that the data had been taken from Hipparchus, and since Ptolemy had already built his whole system upon it he may have preferred to discard any of his observations that did not fit rather than start all over again. He may have thought no one would notice. Others also discovered that Ptolemy had fudged his data. Many of the results of his own observations and those copied from others were wrong. His models of the motions of the Moon and Mercury especially conflicted with the most elementary observation.
In his thesis, "
The Crime of Claudius Ptolemy" (1977), Robert Newton states that the Almagest "
has done more damage to astronomy than any other work ever written and astronomy would be better off if it had never existed".
I haven't read the book and I am not endorsing that extreme viewpoint personally but it is worth acknowleding that Ptolemy has had criticism for many of his supposed astronomical observations. This has led some like Robert Newton to suggest it was based on the work of Hipparchus and others rather than his own research. It is regretable that nearly all the written work of Hipparchus have been lost to history.