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6.7.3 Step 3: Validation <strong>of</strong> Dates Based on<br />

the Precise Planetary Positions, Visibility<br />

Attributes, and Partial Horoscopes.<br />

Rejection <strong>of</strong> Incomplete Solutions.<br />

With the help <strong>of</strong> the astronomical s<strong>of</strong>tware Turbo-Sky, written<br />

by A. Volynkin, we checked for each <strong>of</strong> the admissible dates<br />

the following:<br />

[A] Exact Correspondence to the Main Horoscope: At<br />

this point, we verified if there is exact correspondence<br />

between the real (computed) configuration <strong>of</strong> the planets<br />

on the zodiacal belt, and the initial data, i.e. the main<br />

horoscope according to the considered decoding. The necessity<br />

<strong>of</strong> such a verification is dictated by the fact that<br />

in our computations we have significantly weaken the requirements<br />

related to the acceptable locations <strong>of</strong> planets<br />

on the zodiacal belt. Let us recall that we did it in order<br />

to avoid the impact <strong>of</strong> undefined boundaries between the<br />

zodiacal constellations and other inevitable imprecisions.<br />

[B] Conformity to the Visibility Attributes <strong>of</strong> Venus,<br />

Mercury and Other Planets in Proximity <strong>of</strong> the<br />

Sun. For more information about the visibility attributes,<br />

we refer to section 5.7.<br />

– We were verifying the visibility <strong>of</strong> planets for the computed<br />

solutions at the two locations <strong>of</strong> an observer:<br />

Alexandria and Luxor (which is located 500 km South<br />

from Alexandria). In section 5.11, we explained why<br />

these two places were chosen for this verification. In<br />

the case <strong>of</strong> any doubt, other locations further to the<br />

North were also considered.<br />

– Planets and stars can be observed only when the sky<br />

is sufficiently dark, i.e. only when the Sun is located<br />

sufficiently far behind the local horizon. However, depending<br />

on the brightness <strong>of</strong> these planets and<br />

stars, the required for their visibility submersion <strong>of</strong><br />

the Sun behind the horizon is also different. Let us<br />

recall shortly how the brightness <strong>of</strong> stars and planets<br />

is measured. We will use this information later for the<br />

investigation <strong>of</strong> the Egyptian <strong>zodiacs</strong>.<br />

– In astronomy, the measurement <strong>of</strong> the brightness <strong>of</strong><br />

stars and other celestial objects (nebulae, galaxies,<br />

planets, etc.) is done according to the so-called photometric<br />

scale. The brightness <strong>of</strong> stars is denoted by<br />

the letter M, which is called the magnitude. Brighter<br />

the star, smaller is its photometric magnitude. For<br />

the brightest celestial objects their magnitude is negative,<br />

but there are very few such stars or planets.<br />

These are the brightest stars and the planets, which<br />

were at the moment <strong>of</strong> observations not too far from<br />

the Sun. We should explain that the brightness <strong>of</strong><br />

the planets, contrary to the brightness <strong>of</strong> stars, depends<br />

on their location with respect to the Sun and<br />

the Earth — the sunlight is reflected from the planets.<br />

– Sirius, also called Alpha Canis Majoris, or Dog Star,<br />

is brightest star in the night sky, with apparent vi-<br />

6.7 Dating <strong>of</strong> Egyptian Zodiacs Based on Contents <strong>of</strong> the Main and Partial Horoscopes 141<br />

sual magnitude M = −1.46 19 . There are only two or<br />

three stars on the sky with sufficiently strong brightness,<br />

which can be compared to Sirius. The brightest<br />

planet is Venus. Its magnitude can sometimes reach<br />

as much as M = −5, and most <strong>of</strong> the time is not<br />

smaller than M = −3. When approaching the Sun,<br />

Venus gradually becomes brighter and brighter to finally<br />

disappear from the sky in the sunlight. Then<br />

it reappears on the other side <strong>of</strong> the Sun, i.e. Venus<br />

changes its morning visibility to evening visibility or<br />

vice versa. The other planets, when approaching the<br />

Sun can reach the visibility magnitude up to M = −2.<br />

Let us point out that the magnitude M = 0 is in fact<br />

related to a very high visibility. The brightness <strong>of</strong> dim<br />

stars are from M = +5 to M = +6. The star with<br />

magnitude in the range M = +6 or M = +7 can not<br />

be seen with a naked eye 20 .<br />

– The stars, with similar to Sirius photometric magnitude,<br />

and the planets close to the Sun (but still sufficiently<br />

far from it, so the sunlight didn’t render them<br />

invisible), are the brightest stars on the sky, with<br />

Venus being the brightest among them. These planets<br />

and stars become visible on the sky with the submersion<br />

<strong>of</strong> the Sun behind the local horizon not less<br />

than 7 o . If the submersion <strong>of</strong> the Sun is smaller<br />

than 7 o , no planet nor star (as stars are even less<br />

bright than planets) is visible 21 . The only exception<br />

is Moon, that can be even seen in the middle <strong>of</strong> the<br />

day. The bright stars are those planets and stars for<br />

which the photometric magnitude is around M = +1.<br />

There are not many such stars on the sky — possible<br />

around two dozens. They become visible on the sky<br />

with the Sun’s submersion <strong>of</strong> 9 o –10 o . The class <strong>of</strong> the<br />

fifth and sixth magnitude <strong>of</strong> visibility is composed <strong>of</strong><br />

those stars and planets with photometric magnitude<br />

around M = +5 and M = +6. They are the faintest<br />

stars visible to the unaided eye, which can only be<br />

observed in a complete darkness. The required submersion<br />

<strong>of</strong> the Sun behind the local horizon<br />

should in this case be not less than 18 o , what is<br />

also considered in astronomy to be the beginning or<br />

the end <strong>of</strong> the night 22 . At that time even the dimmest<br />

stars become visible.<br />

– In this way, for checking the visibility <strong>of</strong> the planets<br />

we needed their photometric magnitude, which was<br />

computed using the program Turbo-Sky, written by<br />

A. Volynkin. A planet with the photometric magnitude<br />

M = −1 was considered to be visible, if at the<br />

time <strong>of</strong> observation the submersion <strong>of</strong> the Sun was<br />

not less than 7 o . If the magnitude was M = +2, the<br />

planet was considered as visible with the submersion<br />

<strong>of</strong> the Sun <strong>of</strong> 10 o at least. All the doubtful or border<br />

cases were always decided in favor <strong>of</strong> a solution.<br />

In other words, we didn’t require a precise correspon-<br />

19 See [93] and [94].<br />

20 See [93].<br />

21 See [27], p. 16.<br />

22 See [27], p. 16.

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