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Sunday, November 27, 2016 5:01

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*This is an attempt to understand via the numbers the concept proposed by Russian researcher Sidorenkov of a lunar year interacting with the terrestrial year to produce an effect of a ‘quasi-35 year’ climate cycle.*

Sidorenkov in his paper ON THE SEPARATION OF SOLAR AND LUNAR CYCLES says:

The lunisolar tides repeat with a period of 355 days,

which is known as the tidal year. This period is also

manifested as a cycle of repeated eclipses. Meteorological

characteristics (pressure, temperature, cloudiness, etc.)

vary with a period of 355 days. The interference of these

tidal oscillations and the usual annual 365-day oscillations

generates beats in the annual amplitude of meteorological

characteristics with a period of about 35 years (Sidorenkov

and Sumerova, 2012b). The quasi 35-year variations in

cloudiness lead to oscillations of the radiation balance

over terrestrial regions. As a result of these quasi-

35-year beats, the climate, for example, over European

Russia alternates between “continental” with dominant

cold winters and hot summers (such as from 1963 to 1975

and from 1995 to 2014) and “maritime” with frequent

warm winters and cool summers (such as from 1956 to

1962 and from 1976 to 1994)

In a 2015 paper Sidorenkov explains:

Taking into account all these findings, we believe

that Rossby, Kelvin, and Yanai waves are visual

manifestations of tidal waves in the atmosphere.

From year to year, they repeat not with a tropical-year

period of 365.24 days, but with a period of 13 tropical

months, which is equal to 355.16 days ≈ 0.97.

It is called the tidal or lunar year.

********************************************

Leaving aside the climate question, let’s borrow the

concept of the tidal year (13 tropical months) and go

from there. This is the nearest period to Earth’s

tropical year that is a whole number of lunar orbits.

Note: the Carrington rotation period of the Sun (27.2753 days)

nearly coincides with the rotation period of the Moon

(27.321582 days).

The lunar numbers needed for this exercise are:

Tropical month = 27.321582 days

Synodic month = 29.530589 days

The solar numbers are:

Sidereal rotation = 25.38 days

Carrington rotation = 27.2753 days

The Earth number is: tropical year = 365.24219 days

First let’s find Sidorenkov’s quasi-35-year beats.

This has been done by others before on the Talkshop

e.g. Paul Vaughan who calculated a 35.3 year period.

(Tropical year (TY) x Tidal year (LY)) / TY – LY) = 35.3005 TY

Pushing this further i.e. by a factor of 10 we find:

353 tropical years = 363 ‘tidal years’

If the difference of 10 is the number of beats we get:

353 / 10 = 35.3 tropical years (TY) as calculated above.

Since a tidal year is 13 lunar months, the number of

those in 353 TY must be: 363 x 13 = 4719 LM

Since the difference between synodic months and

tropical months is by definition the number of TY:

4719 – 353 = 4366 synodic months (SM)

Turning to the solar numbers, we already saw that

the Carrington rotation period is very close to a lunar

month, in fact: 4719 LM = 4727 CR

The number of solar sidereal rotations (SSR) is 5080.

Cross-check:

4719 LM = 128930.54 days

4366 SM = 128930.55 days

4727 CR = 128930.34 days

5080 SSR = 128930.40 days

353 TY = 128930.49 days

4719 – 4366 = 353

5080 – 4727 = 353

As stated the lunar months number is 363 x 13.

The synodic months number is 363 x 12, plus 10.

Tidal years minus tropical years is also 10 i.e. 363 – 353.

Therefore, if the SM number was just 10 less we would have:

363 x 12 (4356) SM = 363 x 13 (4719) LM

i.e. 12 SM = 13 LM but of course we don’t find that.

Now a check for other multiples of 363.

The solar sidereal rotations number is 363 x 14, minus 2 (5080).

The Carrington rotations number is 363 x 13, plus 8 (4727).

The difference between -2 and +8 is 10, the same as 363 – 353.

So this is the same result as the lunar synodic numbers i.e.

a difference of 10 from an exact multiple of 363.

The underlying pattern of the solar, lunar and terrestrial

numbers here is a very slight variation to a model where:

12 SM = 13 LM = 13 CR = 14 SSR

Of these, the only one where this model matches reality

exactly is the lunar month, but the others are close and

show a recognizable pattern using whole numbers only.

The difference of 10 is the number of ‘beats’ in 353 TY.

353 / 10 = 35.3 TY = Sidorenkov’s ‘quasi-35 year’ period.

Source: https://tallbloke.wordpress.com/2016/11/27/sidorenkov-and-the-lunar-or-tidal-year/