mysteries of egyptian zodiacs - HiddenMysteries Information Central
mysteries of egyptian zodiacs - HiddenMysteries Information Central
mysteries of egyptian zodiacs - HiddenMysteries Information Central
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However, all these pecularities disappear when we renounce<br />
the hypothesis claiming that the Almagest was compiled<br />
in the beginning <strong>of</strong> the Christian era. Let us find out<br />
what would be the best epoch in which Northen Star would be<br />
the most natural choice for the first star in the catalogue. On<br />
Figure 1.16 we show the trajectory <strong>of</strong> the north pole around<br />
the ecliptic pole P , and the locations <strong>of</strong> the stars Alpha and<br />
Beta. It is clear that with the time the astronomical situation<br />
was changing: Beta was gradually moving away from the<br />
north pole, while Alpha was directly approaching the north<br />
pole. We have indicated on Figure 1.16 the initial position N<br />
<strong>of</strong> the north pole in the 2nd century A.D. The angular velocity<br />
<strong>of</strong> the north pole moving around the ecliptic is about<br />
1 o per 100 years. Now we are in the position to find out the<br />
epoch when North Star became closer to the northy pole than<br />
the star Beta. Since an argument <strong>of</strong> this type can hardly be<br />
considered as reliable for the dating purposes, we are satified<br />
with a rough estimate indicating the period from the 9th<br />
to 11th century A.D. At that time Alpha was closer to the<br />
north pole than Beta and Alpha was also the brightest star<br />
<strong>of</strong> Ursa Minor (M = +2.1 for Alpha, while for Beta it was<br />
M = +2.2). It is also obvious that at that time an observer<br />
compiling a star catalogue, would choose the star Alpha as<br />
the first star in the Northen Hemisphere. Notice that it is<br />
exactly, how the creator <strong>of</strong> the Almagest listed the stars. In<br />
addition, during the 15th and 16th centuries, when the publications<br />
<strong>of</strong> the Almagest took place, North Star was the closest<br />
star to the north pole — its distance was only 4 o from the<br />
north pole. Consequently, by chosing North Star as the first<br />
star in the catalogue, the creator <strong>of</strong> the Almagest revealed the<br />
real time <strong>of</strong> its observations — the epoch that was not earlier<br />
than the 9th or 10th century.<br />
1.7.3 Statistical Analysis <strong>of</strong> the Star Catalogue<br />
Almagest<br />
Let us return to the investigation <strong>of</strong> the Almagest conducted<br />
by astronomer R. Newton’s. It is important to emphesize that<br />
Newton never, at any moment, doubted the correctness <strong>of</strong><br />
Scaliger’s chronology. His conclusions can be summarized as<br />
follows:<br />
1. The astronomical stitation on the real sky in the beginning<br />
<strong>of</strong> the Christian era does not match the astronomical<br />
data contained in the Almagest;<br />
2. The presently availabe version <strong>of</strong> the star catalogue Almagest<br />
does not contain descriptions <strong>of</strong> direct astronomical<br />
observations, but the results <strong>of</strong> computations, based<br />
on the theoretical models. These theoretical computations<br />
were later inserted into the Almagest seemingly to falsely<br />
assume the real astronomical observations, i.e. they were<br />
(according to Newton) fabricated;<br />
3. The Almagest couldn’t be compiled around the year 150<br />
A.D., as it is claimed by Scaliger’s chronology;<br />
4. Consequently, the Almagest was created during another<br />
epoch and its dating should be revised accordingly.<br />
R. Newton points out the passages in the Almagest indicating<br />
that the astronomical observations were conducted during the<br />
1.7 Controversy over the Ptolemy’s Almagest 15<br />
reign <strong>of</strong> the Roman emperor Antoninus Pius, who according<br />
to Scaliger’s chronology ruled from 138 to 161 AD. Therefore,<br />
R. Newton concludes, that whoever was the author <strong>of</strong><br />
the Almagest, he was a liar. There is no way his “personnally<br />
made observations” could ever represent a real astronomical<br />
situation from the 2nd century. In the introduction to<br />
his book, Robert Newton stated that it was a story about a<br />
crime comitted by a scientist against the ethics in his pr<strong>of</strong>ession.<br />
He claimed that Ptolemy’s star catalogue was “corrected”<br />
according to the precession used by Hipparchus. For<br />
example, he shows that the equinoxes and other observations<br />
allegedly made by Ptolemy to determine the ecliptic’s slop<br />
and Alexandria’s latitude, were fabricated. There were also<br />
four fabricated lunar eclipse “triads,” falsifications <strong>of</strong> calculations<br />
and falsification <strong>of</strong> data (for example related to Venus<br />
and the exterior planet data). Newton completes his thought<br />
with a statement that Ptolemy was not an outstanding astronomer<br />
<strong>of</strong> antiquity but rather a most successful swindler<br />
in the history <strong>of</strong> science 58 .<br />
However, a perception <strong>of</strong> the Ptolemy’s work may become<br />
quite different if it turns out that it was a text written in the<br />
10-16th century. In the book [106], the authors, V.V. Kalashnikov,<br />
G.B. Nosovsky and A.T. Fomenko, verified the correctness<br />
<strong>of</strong> R. Newton’s calculations and confirmed his findings. In<br />
contrast to R. Newton, their goal was to achieve an independent<br />
dating <strong>of</strong> the Almagest based on the mathematical and<br />
statistical analysis <strong>of</strong> the individual stars’ proper motion. This<br />
is not an easy problem, which required a careful analysis <strong>of</strong><br />
the accuracy <strong>of</strong> the Almagest’s star coordinates. Let us recall<br />
that every star in the catalogue was identified by two ecliptic<br />
coordinates: longitude and latitude. It was discovered that<br />
the accuracy <strong>of</strong> the longitudes was much worse than that <strong>of</strong><br />
the latitudes, leading to a suspission that they were obtained<br />
by a method quite usual in the Middle Ages: by measuring<br />
equatorial coordinates and subsequently recarculating them<br />
into ecliptical ones. Since the calculations <strong>of</strong> the ecliptic longitudes<br />
were much more complicated, larger errors arose and<br />
the accuracy failed, making them useless for the purpose <strong>of</strong><br />
dating the Almagest. In addition, the longitudal precessions<br />
were already well known in the Middle Ages, what could have<br />
been tempting to manipulate this data. The method used in<br />
[106] was applied to latitudes only. Its effectivness was tested<br />
on the several star cataloges whose dates are well known (for<br />
example the star cataloge <strong>of</strong> Tycho Brahe, Bonner Durchmusterung,<br />
etc.). It involved extensive computations which<br />
were done using specially writen for this purpose computer<br />
programs.<br />
For the purpose <strong>of</strong> computations, a list <strong>of</strong> 80 relatively<br />
fast moving stars was compiled, based on the modern star<br />
catalogue by D. H<strong>of</strong>flit (The Bright Star Catalogue). Based<br />
on this list about 35 stars were identified in the Almagest,<br />
from which three had to be rejected because their identity<br />
couldn’t be indisputably established. Let us point out that it<br />
was not a trivial question to identify some <strong>of</strong> the stars in the<br />
Almagest. Basically, the star identifications in [106] confirm<br />
58 See [178].