English Version based on the original German article by Karl-Heinz Homann

(Inspired by Sri Yukteswar and Walter Cruttenden)

http://www.binaryresearchinstitute.org/evidence/lunarcycle.shtml

see also Re: Luni-Solar Relations by John N. Harris

Solar Eclipses and the Precession-Time Paradox

The shadow of the moon on earth proves that the moon does not cause the precession of the earth.

In order clearly visualize the complex relationship of moon - sun - fixed stars, we shall use the following simplified yet equivalent model:

Given is the time for a 360° orbit of the earth "E" and the moon "M" around the sun "S" of 3600 seconds (same with respect to the fixed stars "F" and "C"), as well as the following complete rotations" r "in seconds in one such orbit:

E relative to S = 360 r of 10 s each

E relative to F&C = 361 r of 9.972... s each

M relative to S = 12 r of 300 s each

M relative to F&C = 13 r of 276.92... s each

Calculations for three different versions:

I. Earth's axis is fixed relative to S-C-F (i.e. no precession of the earth)

E makes one rotation of 10 s relative to S, and therefore 360 rotations in a 360° orbit of 3600 s. Hence, 361 rotations of 9.972... s each (3600 s ÷ 361) occur relative to F&C. M makes one rotation of 300 s relative to S, and therefore 12 rotations in the same 360° orbit of 3600 s around S (12 × 300 s). As a result, 13 rotations of 276.92... s each (3600 s ÷ 13) occur relative to F&C.

II. System S-E-M rotates around C (i.e. earth precesses around C)

The 3.34 s (50.26 arc seconds), as specified in the diagram, apply in addition to the 361 and 13 rotations but only with respect to F; i.e. 3600 s plus 3.34 s.

III. Earth wobbles (precesses)

If according to version I the earth wobbles (lunisolar model), the 360° orbit period measured relative to S, F and C is 3.34 s longer and consequently, also the 360° orbit of M around E.

In our model, both 360° orbits of E and M are directly tied to each other, being in the same phase. But according to lunisolar precession, the 360° moon cycle is tied to a 360° sidereal cycle of 365.256361 mean solar days, during which the earth steadily retrogrades by approx. 20 minutes per 360° orbit. Based on this erroneous conception, astronomers want to fit the constant 360° moon cycle into in the same period and orbital pattern of the earth around the sun, but with an orbit period of less than 360°. Fortunately, reality proves otherwise:

The cycle of solar eclipses - the so-called Saros-cycle (known since the times of the Sumerian)- offers clear proof for the real celestial mechanical process of precession. This cycle, as we know, is based on the civil calendar, which in turn is based on the tropical year. The occurrence of solar eclipses, which can be accurately predicted for more than a thousand years, is calculated from the period of the node (one complete cycle takes 18.6134 tropical years) and is based on a non-precessing earth. That means the node moves 360° backward along the ecliptic in 18.6134 tropical years at the rate of 19° 20' 27" per trop. year (360° ÷ 18.6134). According to lunisolar precession, the node also has to shift along the ecliptic by approx. 20 minutes (the wrongly assumed difference between the 360° orbit period of the earth around the sun and the tropical year). This very significant difference would increase the period of the node to about 25.14 tropical years. Of course, accurate predictions of solar eclipses are not based on such false data.

One can assume that the Sumerian, and later the Mayan astronomers, were not that foolish as to experiment with an approximately 20 minutes longer year in order to determine the exact occurrence of solar eclipses. When the moon throws its shadow on the earth, the moon does not care what season occurs on earth and whether or not the earth wobbles.

The following mathematical equations prove that the moon's orbit around the sun is indeed a 360° cycle, and that it is derived from the tropical year:

365.24219878 ÷ 29.53058867 (synodic month) = 12.36826677 rotations

365.24219878 ÷ 27.32158214 (tropical month) = 13.36826677 rotations

Fact is, the 360° moon cycle is rigorously tied to the 360° tropical cycle and our solar system revolves - according to version II - around a not so distant star C (Sirius). Hence, the orbital period of the earth and the moon relative to the fixed stars are more than 360°, just as the earth has to rotate more than 360° on its axis relative to inertial space. It is not possible for the Earth to have two different 360° orbit periods around the sun at the same time and in the same orbital pattern.

FACTS THAT CONTRADICT LUNISOLAR PRECESSION:

Mean sidereal day (tropical or equinoctial day): 86164.0905382... seconds - absolute rotation of the earth on its axis (rigorously related to the mean solar day of 86400 seconds)

Sidereal day (Galilean day): 86164.09966 seconds - more than a 360-degree rotation period of the earth on its axis

Since the absolute rotation of the earth on its axis is NOT a rotation of less than a 360-degree, it follows that

a) the tropical lunar month and the tropical year are 360-degree orbit periods

b) a sidereal lunar month and a sidereal year are NOT 360-degree orbit periods

In practice, the precise cycle of solar eclipses (time and location) is calculated from the position of the vernal equinox. This fundamental frame of reference remains fixed with respect to the orientation of the earth's axis in space. Consequently, the semi-axis of the 360-degree orbit of the moon around the earth and the semi-axis of the 360-degree orbit of the earth around the sun remains fixed relative to the axis of the earth.

....more on the Saros-cycle