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Precession of the Planets


What was Plato Writing About?










"Alice laughed: "There's no use trying," she said;
"one can't believe impossible things".
"I daresay you haven't had much practice," said the Queen.
"When I was younger, I always did it for half an hour a day.
Why, sometimes I've believed as many as six impossible things before breakfast."
— Lewis Carroll


I have discovered that parameters p1 and p2 obtained above are precisely determined by a ratio of perimeters of the bases of three Great pyramids of Giza (Egypt).


Michael Bara and Richard C. Hoagland considering the Great pyramids on the Giza plateau wrote in the article "Temple":


"...the measurements of each side of the base of the Pyramid of Khephren was originally 707.75 feet. As for the Great Pyramid, Edwards says that the original measurements of the four sides of the base were: North: 755.43 feet, South: 756.08 feet, East: 755.88 feet, and West: 755.77 feet. The mean of these four measurements is 755.79 feet. If we compare the mean side of the base of the Great Pyramid with the side of the base of the Pyramid of Khephren, we find that the larger measurement is 1.0678 that of the smaller."


That is

755.79/707.75 = 1.0678


This coefficient coincides with the parameter p1 = 1.0673 calculated for a precession of seven planets (see the chapter "The Precession Law of the Planets System").


Then I thought — could the second coefficient (p2 = 1.876 or p2' = 2.1094) also coincide? I decided to calculate the ratio of the perimeter of the second pyramid to the perimeter of the third pyramid.

Unfortunately, an accurate survey of the dimensions of the Third Pyramid was never undertaken. The length of the side of the base of the Third Pyramid (Pyramid of Menkaure) is equal approximately to 356.5 feet. It allows us to calculate the second coefficient.


707.75/356.5 = 1.9853


That is, the second coefficient is equal to the mean value of parameters p2 and p2'. This is a good coincidence. We could probably get an even greater coincidence if the perimeter of a base of the third pyramid was known precisely.


So, both coefficients calculated by the method of least squares on the modern data of coordinates of the North Pole of planets are determined by the ratio of perimeters of three Great pyramids on the Giza plateau.


The disposition of the pyramids on the ground reminds us of the characteristic fracture of the diagram of the tilt angle of planets rotation axes to the plane of the Galaxy (see fig. 10).


The disposition of the pyramids

Photo from space

Nine pyramids

Figure 13


Where: N — a direction to the North, E — a direction to the East.

Very similar that the three small pyramids near the first pyramid and the three small pyramids near the third pyramid mark the coordinate axes.



The Crop Circle


Several years ago, astronomer Gerald S. Hawkins noticed that some of the most visually striking of the crop-circle patterns embodied geometric theorems that express specific numerical relationships among the areas of various circles making up the patterns.


Photo of the crop circles

Figure 14


These patterns displayed exact numerical relationships, all of them involving a diatonic ratio that determines a scale of musical notes.

I wrote about the work of Gerald Hawkins in book [3].

Some speak, that the crop circles were a hoax. But Gerald Hawkins writes not about all crop circles, he writes only about those crop circles where he has found a diatonic ratio. There are many such crop circles.

Read the fragment of the interview with Gerald Hawkins:


ML: ...What about Douglas Bower and David Chorley, the two Englishmen who claimed last year that they created the circles. Could they have formed these diatonic ratios?

GH: They could have, if they knew about the diatonic scale, and wished to put it in the circles. But I think we have to quote their reason for making the circles. They said they “did it for a laugh.” That’s fine. If they did it for a laugh, then it doesn’t fit with putting in such an esoteric piece of information. I did write to them. They never replied.

ML: You wrote to them saying what?

GH: “Why did you put diatonic ratios in?”

ML: And they didn’t reply.

GH: No. I think we can eliminate them. It’s so difficult to make a diatonic ratio. It has to be laid out accurately to within a few inches with a 50 foot circle, for example.


Perhaps the mysterious crop circles will help us to understand the force defining a diatonic ratio in so different scales, both on the ground, and in space.



Danger of the Precession


"Now this has the form of a myth,
but really signifies a declination of the bodies moving in the heavens around the earth,
and a great conflagration of things upon the earth,
which recurs after long intervals..."
— Plato, "Timaeus".


So, Plato wrote about rotation of the spindle of Necessity — "Mortal souls, behold a new cycle of life and mortality". Here he clearly states, that this motion (precession) represents a mortal danger to all beings on the Earth. Why? How it is possible to explain this? I shall state some ideas I have about this as we proceed.


Taking into account data of the Calendar Message [3], it is possible to presume that this danger is somehow connected to a maximum tilt angle of Earth's rotation axis to the plane of the Galaxy.


Maximum and minimum tilt angles of the Earth's axis to the plane of the Galaxy are clearly visible in the figure on the right. Where: a circle, a rhomb, and a triangle mark the North Pole of the Galaxy, the Earth, and the ecliptic accordingly. The circle passing through the rhomb shows approximately the path of the North Pole of the Earth for one cycle of a precession.


The last time when the maximum angle was reached, was about 4493 BC (see the article "Duat"). Exactly this position of the North Pole of the Earth is shown in the image from the Calendar Message; therefore 4493 BC can be accepted as the date of the last global catastrophe.

Figure 15


At this time, the Earth's rotation axis passed through the point of a golden section of the arc from the Ecliptic's North Pole up to the North Pole of the Galaxy, equal to 60.19° (see tab. 2). The point of a golden section divides this arc on two parts.


22.99° + 37.2° = 60.19°


22.99/37.2 = 37.2/60.19 = 0.618... = φ


Where φ = 0.618... is the number known as the golden section (the divine proportion). I wrote about it in the book [3].

In figure 16, these segments of the arc are marked with numbers 1, 2, and 3. Length of segments: [1, 3] = 60.19°, [1, 2] = 37.2°, [2, 3] = 22.99°.


As you can see, we have found an angle of approximately 23°. It is known, that the tilt of the Earth's axis to the ecliptic axis slowly varies from 22.1° up to 24.5°, and is equal to 23.4° at present and gradually decreasing. That is, changes near the value of the angle given by a golden section. The period of a complete cycle of these oscillations takes approximately 41,000 years. Hence, the maximum tilt angle of the Earth's axis to the plane of the Galaxy varies from 51.91° till 54.31° too. If to take into account and motion of the ecliptic pole, this diapason will increase a little more.


Perhaps a maximum tilt angle of the Earth's axis to the plane of the Galaxy, at which there was a global catastrophe, was included in the slope of the side faces of the Great pyramid (the Pyramid of Cheops). In different sources, a value of this angle is given from 51.84° till 51.85°, that coincides with a value of an angle corresponding to a golden section.


arccos(φ) = 51.83°


Probably, when this critical angle is exceeded there is a chance of a global catastrophe.

I shall note that a catastrophic shift of the tilt angle of Earth's rotation axis to the ecliptic plane can be explained by both a shift of the Earth's axis, and a shift of the ecliptic plane.



From what source could Plato, writing 2500 years ago, have knowledge about the precession of planets? The following quotations of the ancient authors, which I already mentioned in the book [3], suggest the answer to this question.


"The children of Seth also were the inventors of that peculiar sort of wisdom which is concerned with the heavenly bodies, and their order. And that their inventions might not be lost before they were sufficiently known, upon Adam's prediction that the world was to be destroyed at one time by the force of fire, and at another time by the violence and quantity of water, they made two pillars, the one of brick, the other of stone: they inscribed their discoveries on them both, that in case the pillar of brick should be destroyed by the flood, the pillar of stone might remain, and exhibit those discoveries to mankind;..."

— Flavius Josephus, "Antiquities of the Jews"


"Manetho extracted his history from certain pillars which he discovered in Egypt, whereon inscriptions had been made by Thoth, or the first Mercury [or Hermes], in the sacred letters and dialect; but which were after the flood translated from that dialect into the Greek tongue..."

— General Albert Pike, "Morals and Dogma"


All these records of an ancient knowledge are evidence of the existence in extreme antiquity of an advanced civilization. That is, before any of the known ancient civilizations came into being. In the book [3], I have given you the direct proof of the existence of such a civilization.




November 29, 2004





1. Plato, The Republic, Book X. Translated by Benjamin Jowett.

Plato, Timaeus. Translated by Benjamin Jowett.

2. Шилов Г.Е., Простая гамма. Устройство музыкальной шкалы. М., "Наука", 1980.

3. Pakhomov V.L., 2001, The Mystery of the Calendar — The Message to the Unborn, Perth, Australia: Xerostar Holdings, ISBN 0-9580150-1-5  (English edition)  (Russian edition)



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