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he conducted a mathematical and statistical analysis <strong>of</strong> the<br />

astronomical data contained in the Almagest. The results <strong>of</strong><br />

his research were unexpected. He arrived to the conclusion<br />

that the astronomical observations <strong>of</strong> the Almagest were falsified.<br />

These serious accusations put in doubt the validity <strong>of</strong><br />

the Almagest’s astronomical data for the history <strong>of</strong> science.<br />

By the way, R. Newton was not aware <strong>of</strong> the results obtained<br />

by Morozov and fully trusted Scaliger’s chronology.<br />

Figure 1.15: Locations <strong>of</strong> Alpha Ursae Minoris and Beta Ursae<br />

Minoris in the 2nd century A.D. (based on J.E. Bode’s<br />

drawing).<br />

1.7.2 North Star as the First Star <strong>of</strong> the<br />

Catalogue Almagest<br />

According to Scaliger’s chronology, the Almagest was compiled<br />

in the 2nd century A.D. or even a little earlier than the<br />

2nd century. It is possible to verify that since the last two<br />

and half thousand years the closest star constellation to the<br />

north galactic pole was Ursa Minor. Then, we can also compute<br />

which <strong>of</strong> the stars in the Ursa Minor constellation was<br />

the closest to the north pole in the beginning <strong>of</strong> the Christian<br />

era about two thousand years ago, that means at the time<br />

traditionally associated with the creation <strong>of</strong> the Almagest. It<br />

turns out, that it was Beta Ursae Minoris — the star that is<br />

listed in the Almagest as a star <strong>of</strong> second magnitude, while the<br />

North Star (Alpha Ursae Minoris or Polaris) is indicated there<br />

as a star <strong>of</strong> the 3-rd magnitude. Let us explain that <strong>of</strong> course<br />

it the Almagest the modern <strong>of</strong> Alpha and Beta-convention<br />

was not used, and the stars were indicated according to their<br />

position in the constellation and the coordinates. In fact, the<br />

1.7 Controversy over the Ptolemy’s Almagest 13<br />

brightness <strong>of</strong> the both Alpha and Beta stars in the Ursa Minor<br />

constellation are almost identical. Based on the present<br />

day measurments, the brightness <strong>of</strong> Alpha is M = +2.1 and<br />

<strong>of</strong> Beta is M = +2.2 (see section 6.8 for more information<br />

about the brightness scale), which means that Alpha is just<br />

slightly brighter than Beta. Nevertheless, Ptolemy mistakenly<br />

thought opposite.<br />

Figure 1.16: Locations <strong>of</strong> Alpha Ursae Minoris and Beta Ursae<br />

Minoris with respect to the North Pole.<br />

Moreover, the computations show that in the 2nd century<br />

A.D. the distance between Beta Ursae Minoris and the<br />

north pole was exactly 8 o , which is exactly the same as the<br />

distance between Alpha Ursae Minoris (North Star) and the<br />

north pole today. In the 2nd century Alpha was located 12 o<br />

from the north pole. That means that it could be clearly noticed<br />

that in the 2nd century North Star was significantly<br />

further from the north pole than Beta Ursae Minoris. The<br />

actual configuration <strong>of</strong> the these stars, as it was observed in<br />

the 2nd century, is shown on Figure 1.15 which is based on a<br />

chart made by German astronomer Johann E. Bode according<br />

to the Almagest. As Bode was not concerned with the<br />

actual dating <strong>of</strong> the Almagest, his drawing indicates the actual<br />

locations the stars in the 2nd century. Notice that, Beta<br />

is indicated in the center <strong>of</strong> Ursa Minor, while Alpha is placed<br />

at the very end <strong>of</strong> the tail <strong>of</strong> this constellation. This is exactly<br />

how the positions <strong>of</strong> these two stars were described in the Almagest:<br />

Alpha as “the star at the end <strong>of</strong> the tail,” and Beta<br />

as “the most northen star in the back <strong>of</strong> the constellation.”<br />

In our opinion, it would be the most reasonable to start<br />

the 2nd century star catalogue with the star Beta rather than<br />

Alpha. N.A. Morozov wrote in this respect:<br />

““Who possible could have an idea to present a description <strong>of</strong><br />

constellations in the northen hemisphere beginning with the<br />

most distant from the north pole star <strong>of</strong> the Ursa Minor, which<br />

was not even in the center <strong>of</strong> this constellation but at its very<br />

end <strong>of</strong> the tail.”

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