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mysteries of egyptian zodiacs - HiddenMysteries Information Central

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6.11 Best Points for the Planets and<br />

the Planetary Order<br />

For each planet, besides the range <strong>of</strong> admissible positions,<br />

we will also specify its exemplary position on the sky,<br />

which in some sense would correspond the best location <strong>of</strong><br />

its planetary figure on the Egyptian zodiac. This point on<br />

the ecliptic J2000 will be called the “best point” or the<br />

“exemplary position point” <strong>of</strong> this planet.<br />

Actually, the choice <strong>of</strong> such a point can be strongly subjective.<br />

Therefore, the positions <strong>of</strong> the best points have no<br />

impact on the rejection <strong>of</strong> incompatible solutions. However,<br />

the order <strong>of</strong> the “best points” plays and important role in<br />

the rejection process. This order should be exactly the same as<br />

the order <strong>of</strong> planets on the Egyptian zodiac, according to the<br />

considered decoding variant <strong>of</strong> the main horoscope. For each<br />

computed solution, the program Horos compares the order <strong>of</strong><br />

planets on the ecliptic with the order <strong>of</strong> the “best points.”<br />

Those solutions with the order <strong>of</strong> planets different than the<br />

order indicated by the “best points” are rejected.<br />

If the arrangement <strong>of</strong> two or more planetary figures is such<br />

that it is impossible to determine their definite order, in the<br />

computations we have assigned to all those planets the same<br />

value <strong>of</strong> the best point. As a consequence, the program Horos<br />

will assess any arrangement <strong>of</strong> those planets as correct with<br />

respect to their order. On the other hand, the order <strong>of</strong> all the<br />

other planets will be verified according to the order <strong>of</strong> their<br />

“best points.” Let us point out, that situations with undetermined<br />

order <strong>of</strong> some planetary symbols indeed occurred on<br />

the Egyptian <strong>zodiacs</strong>. In particular, this was the case with the<br />

<strong>zodiacs</strong> <strong>of</strong> round type, where the figures are not arranged in<br />

a sequential order, but are rather scattered around the whole<br />

picture.<br />

It may happen that, for a certain planet, we are not able<br />

at all to identify its location on the ecliptic. For example,<br />

it could happen that we were unable to recognize the figure<br />

representing a particular planet on the zodiac. In this case<br />

the range <strong>of</strong> admissible positions for this planet should be<br />

from 0 to 12, and as its best point a number greater than<br />

100 should assigned. For the program Horos this will be an<br />

indication that this planet should be considered as undefined<br />

or free, i.e. there are no constrains imposed on its location.<br />

If a best point is not indicated in the input data, then the<br />

program Horos will respond with an error message.<br />

6.12 Mean Discrepancy from the<br />

Best Points as an Indicator <strong>of</strong><br />

the Accuracy <strong>of</strong> the Solution<br />

The “best points” were also used for each solution to calculate<br />

the numerical indicator called “mean discrepancy from<br />

the best points.” Because the choice <strong>of</strong> the “best points” was<br />

not independent <strong>of</strong> subjective factors, this number can only<br />

be used as an advisory indicator for the correspondence<br />

6.13 Example <strong>of</strong> the Input Data for the Program Horos 145<br />

between the configuration <strong>of</strong> the planets in the solution, and<br />

the arrangement shown on the Egyptian zodiac. In spite <strong>of</strong> its<br />

dependencies, such an indicator turns out to be very useful.<br />

The mean discrepancy from the best points is evaluated in<br />

degrees. It is obtained by taking the average value for all the<br />

distances from the corresponding best points for all the seven<br />

planets. Recall that the “best points” represent the “ideal”<br />

locations <strong>of</strong> the planets, as it is suggested by the picture on<br />

the zodiac. When it is possible to identify all the planets on<br />

the zodiac, then the corresponding best points could be determined<br />

with the precision up to 15 o , which corresponds to<br />

an average length <strong>of</strong> a zodiacal constellation. The precision <strong>of</strong><br />

15 o degree is the best precision that can be expected for an<br />

Egyptian zodiac. Therefore, the values <strong>of</strong> the mean discrepancy<br />

from the best points in the range from 0 o to 15 o should<br />

be considered as very good, and in the range from 15 o to 20 o ,<br />

as satisfactory. However, even higher values <strong>of</strong> this indicator<br />

can occur in the case <strong>of</strong> a correct astronomical solution.<br />

But, it can happen only in a situation where it was not possible<br />

to determine in advance a definite position(s) <strong>of</strong> certain<br />

planet(s). Such situation can arise in a case, for example, <strong>of</strong><br />

a damaged zodiac, where some <strong>of</strong> its parts were destroyed.<br />

If the “best point” for a certain planet is undefined, i.e.<br />

its value is assumed to be larger than 100, then in such a<br />

situation it was possible to evaluate the mean discrepancy<br />

indicator by assuming (for this purpose only) that its best<br />

point was exactly the calculated position <strong>of</strong> the planet. However,<br />

this wouldn’t be right, because such an assumption could<br />

lead to a significantly lower value <strong>of</strong> the mean discrepancy<br />

indicator for that solution. In particular, in the case where<br />

there were more than one undefined (free) planet in the input<br />

data, another problem appeared. How the solutions with<br />

different number <strong>of</strong> undefined (free) planets should be compared?<br />

To solve these complications, in our computations we<br />

applied the following algorithm, which helped to eliminate<br />

these undesired effects:<br />

(1) Computations <strong>of</strong> the mean discrepancy indicator were<br />

carried out successively with respect to the sequential order<br />

<strong>of</strong> the planets.<br />

(2) In the case an undefined (free) planet was encountered, a<br />

temporary best point (which was only used in this computations)<br />

was assigned to it. This best point was evaluated<br />

based on the average distances from the best points for<br />

the other planets, for which the best points were defined<br />

or already computed in the previous steps <strong>of</strong> this process.<br />

6.13 Example <strong>of</strong> the Input Data for<br />

the Program Horos<br />

Let us present as an example a sample input data file<br />

INPUT.TXT for the program Horos. This data was obtained for<br />

one variant <strong>of</strong> decoding <strong>of</strong> the main horoscope on the Long<br />

Denderah zodiac. The ranges <strong>of</strong> the admissible planetary positions<br />

and the best points are expressed in coordinates <strong>of</strong> the<br />

constellation-sized scale on the ecliptic J2000.

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