Käyttäjän Hannu Poropudas profiilikuva
Hannu Poropudas
28.9.2017 klo 8.59.51
vastaanottaja
(Moodies Group example):

Re: Megacycles,

(sci.geo.geology, 28.9.2017, klo 8:59.51, COPY below of my Hannu Poropudas article)

(Moodies Group example):

T’ = length of the month recorded by marine life (= synodic month)
t’ = length of the day recorded by marine life (= solar day)
T = length of sidereal month
t = length of sidereal day
T = T’ /(1+T’/Y)
t = t’ /(1+t’/Y), this is very nearly equal to t’
S = T’ / t’ = number of days in month recorded in paleontological specimens.
Y = length of the year (= tropical year, this is assumed to be constant = 365,2422 days = not changed significantly)

Reference:

Runcorn, S. K., 1970.
Paleontological Measurements of the Changes in the Rotation Rates of Earth and Moon and
of the Rate of Retreat of the Moon from the Earth., pages 17-23, page 21.
In:
Runcorn S.K. (Editor), 1970.
Paleogeophysics.
Academic Press Inc., Printed in Great Britain, 518 pages, pages 17-23.

*** For EXAMPLE 2 (this is extension of testing time area of my linear extrapolation to about -3225*10^4 centuries (=3225 Ma ago).

(figures are taken from my Tables and from my drawings to this
second example of Moodies Group time):

-3225*10^4 centuries (Moodies Group age is approximately 3225 Ma).

42.8 days per month (this comes from my own extrapolated fossil data figure).

650 days per year (this comes from my own extrapolated fossil data figure).

15.23 month per year (this comes from my own extrapolated fossil data figure).

13.56 hours per day (Table 4 and from my own extrapolated fossil data figure).

3215.4 Ma gives 42.44 days per month (Table 1).

3232 Ma gives 13.56 hours per day (Table 4).

T = 42.8/(1+42.8/365.2422) = 38.3 (sideric month at approx. 3225 Ma ago).

T = 42.44/(1+42.44/365.2422) = 38.02 (sideric month at approx. 3215.4 Ma ago).

t = 13.56/(1+13.56/365.2422) = 13.07 (= solar day at approx. 3232 Ma ago in present hours).

P = 38.3*13.07 h = 500.581 h = 1802091.6 s (present seconds) = 20.36 present solar days.

Approximate Earth-Moon distance at Moodies Group time approx. 3225 Ma ago:
r = 320033184.8 m = approx. 320000 km.

P = 38.0*13.07 h = 496.66 h = 1787976 s (present seconds) = 20.69 present solar days.

Approximate Earth-Moon distance at Moodies Group time approx. 3225 Ma ago:
r = 318359803.9 m = approx. 318000 km.

Comparision to the primary data from the Moodies Group (interpretations and calculations are my own):

*** (Eriksson, K.A. and Simpson, E.L.,2004.) on page 639 Figure 7.5-3 a) would give 117-37 = 80 and this would mean 80/2 = 40 days per month (synodic days and synodic month) at Moodies Group time.

*** (Eriksson, K.A. and Simpson, E.L.,2004.) on page 639 Figure 7.5-3 b) would give 67-23 = 44 days per month (synodic days and synodic month).

If I combine both figures it would give 40-44 days per month (synodic days and synodic month).

These would give following figures (13.07 h is calculated from Table 4 and my drawing):

T = 40/(1+40/365.2422) = 36.05 days per month (sideric month) = 36.05*13.07 h = 471.1735 h = 1696224.6 s (present seconds) = 19.63 present solar days per sideric month.

Approx. Earth-Moon distance at Moodies Group time would be
r = (G*M*P*P/4/(Pi*Pi))Power(1/3) = 307373208.2 m = approx. 307000 km.

T = 44/(1+44/365.2422) = 39.27 days per month (sideric month) = 39.27*13.07 h = 513.2589 h = 1847732.04 s (present seconds) = 21.39 present solar days per sideric month.

Approx. Earth-Moon distance at Moodies Group time would be
r = (G*M*P^2/(4*Pi^2)) ^ (1/3) = 325414148.6 m = approx. 325000 km.

(present sideric month = 27.322 present solar days, present synodic month = 29.531 present solar days, G = 6,67*10^(-11)*N*m^2/kg^2 , M = 5,974*10^24 kg , Pi= 3.141592654).

So at the Moodies Group time about 3225 Ma ago it seems that there could have been 19.63-21.39 (present) solar days in the sideric month
(or rounded numbers 20-21).

So my Tables and my drawn figures for testing seems to be extendable at least up to the Moodies Group time about 3225 Ma ago (-3225*10^4 centuries).

I don’t know how (Eriksson, K.A. and Simpson, E.L.,2004.) have achieved their result 18-20 days per month at Moodies Group time on page 638 and 641-642 because there is no explanation how these figures are achieved from figures 7.5-3 a) and 7.5-3 b).

Some explanations are in the reference (Eriksson, Kenneth A., Simpson, Edward L., 2000).

Best Regards,

Hannu Poropudas
Kolamäentie 9E,
90900 Kiiminki / Oulu,
Finland.

References:

1. Eriksson, K.A. and Simpson, E.L.,2004.
Precambrian Tidalites: Recognition and Significance.
pp. 631-642.
In:
Eriksson, P.G., Altermann,W., Nelson, D.R., Mueller, W.U. and Catuneanu, O., (Editors), 2004.
The Precambrian Earth: Tempos and Events.
Developments in Precambrian Geology 12,
Condie, K.C. (Series Editor).
Printed in The Netherlands. > 923 pages, pp. 631-642.

2. Eriksson, Kenneth A., Simpson, Edward L., 2000.
Quantifying the oldest tidal record: The 3.2 Ga Moodies Group, Barberton Greenstone Belt,
South Africa.
Geology, September 2000, v. 28, no. 9, pp. 831-834, 5 figures, pages 832-833.

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