About Tides at Moodies Group Time (about 3225 Ma ago) and some toymodels

About Tides at Moodies Group Time (about 3220 Ma ago) and some toy
models (repost from 2005 and 2007)

Modification of my older text below and my testing papers based on
linear
extrapolations of Pannella’s fossil data added in the end of this
paper for convenience.
(Text and tables added in the end is quite long.)

Best Regards,

Hannu Poropudas
Vesaisentie 9E,
90900 Kiiminki

-------Modified text ----------------------------------------------
Newsgroups: sci.bio.paleontology, sci.geo.geology, sci.astro,
sci.physics, sci.math
From: mathematician
Date: Sun, 12 Aug 2007 01:51:29 -0700
Local: Sun, Aug 12 2007 11:51 am
Subject: About Tides at Moodies Group Time (about 3220 Ma ago) and
some toy models (repost from 2005)

This is one of my old article where I got no comments in the year
2005.
Please give your comments.
Hannu
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Subject: About Tides at Moodies Group Time (about 3220 Ma ago) and
some toy models
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About Tides at Moodies Group Time (about 3220 Ma ago) and some toy
models
(This second posting is due the new google program
spoils my texts !!!)
(Author: Hannu K. J. Poropudas, Date: 8.1.2005.
This second iterate text of the real situation is modified from:
Hipkin, R. G., 1975.
Tides and The Rotation of the Earth.
In:
Rosenberg, G. D., and Runcorn, S. K., 1975.
Growth Rhytms and The History of The Earth's Rotation.
Printed in Great Britain by
William Clowes and Sons Ltd., London, Colchester and Beccles.
Copyright 1975 by John Wiley & Sons, Ltd.
559 pages, 319-336.)
Assumption of tidal parameters at Moodies Group time (3225 Ma) ((3220
Ma))
(Moodies Group, Barberton Greenstone Belt, South Africa)
Suppose (without knowledge of accuracy) that day length is 13.56 (3232
Ma -13,56 hours per day, my testing papers about this added in the
end of this paper for convenience) (10.5834192) present hours (h),
hour length is 0.565 (0.4409758) present hours and minute length is
9.42*10^-3 (7.349596667 * 10^-3) present minutes at about 3225 Ma
(3220 Ma) ago.
This would mean that angular velocity (w) of the Earth would be
26.62135782 (calculated 15.04106864*26.54867 / 15 and 360 / 13.56 =
26.54867), (34.10860333, calculated 15.04106862*34.01547205 / 15 and
360 / 10.5834192 = 34.01547205) degrees per hour (present value of w
is 15.04106864).
Angular velocity of the Moon (n_m) would be 0.6507 (0.8296456598)
degrees per
hour (42.8 (43) mean solar days per synodic month which is about 40.8
= 42.8-2 (41=43-2) mean solar days per sideric month at Moodies time
which is about 23.052 (18.0800078) mean
solar days per sideric month at present time. Earth-Moon distance is
then about r = (f*M*T^2 / (4*Pi^2))^(1/3) = 342218.904 (291047583.4) m
=
53.715 (45.68297173) Earth's radii, present value of n_m is
0.54901653) and angular
velocity of the Earth (n_e) would be 0.00464184 degrees per hour
(present value due I suppose ancient value is about same as present
value). I don't
know ancient values of two less important present periods of about 9
years and 18.6 years due to the eccentricity of the Moon's orbit and
to the inclination of this orbital plane to the plane of the Earth's
orbit about the Sun. ( 1 degree = 1.745329252 * 10^-2 radians).
Suppose
also that seas are few kilometers shallower than present ones and
suppose we have no good knowledge of distribution of seeds of ancient
continents at Moodies time.
(?)-mark points should be tried to figure out with aid
of computer programs of Earth tides)
Types of partial tides
M_2. The largest (?) partial tide, by a factor of two (?), is the
semi-diurnal tide raised by the Moon, called M_2. It has a period of
7.01 (5.47) h (present value: 12.40 h) and a speed of
2*w - 2* n_m = 51.9413 (66.55791534) degrees per hour, which is twice
the
rotation rate of the Earth with respect to the Earth-Moon line.
K_1. The second largest (?) partial tide is the diurnal one, K_1,
raised by the combined action of the Sun and the Moon. Its period,
13.52 (calculated 23.93*13.56 / 24) (10.55, calculated
23.93*10.5834192 / 24) hours (present value: 23.93 h) , is at most
exactly equal to the rotation period of the
Earth, not with respect to the Sun or Moon, but with respect to the
stars, consequently it is sometimes called the sideral diurnal tide.
Its speed is w = 26.62135782 (34.1080333) degrees per hour.
S_2. Next (?) comes the semi-diurnal solar tide, S_2. Its period is
6.78 (5.28) hours (present value: 12 h), corresponding to the rotation
period of the Earth with
respect to the Earth-Sun line, which is the basis of "timekeeping".
Its speed is 2*w - 2*n_e = 53.23343 (68.20792298) degrees per hour.
Q_1, P_1. The fourth (?) and fifth (?) largest partial tides are the
lunar and solar diurnal tides, Q_1 and P_1 with periods of 14.59
(11.09) hours (present value: 25.817 h) and 13.60 (10.56) hours
(present value: 24.067 h) and speeds of w - 2*n_m = 25.31996
(32.44931201) degrees per
hour and w - 2*n_e = 26.61207 (34.09931965) degrees per hour. These
figures
demonstrate the important points that there are no diurnal partial
tides with exactly twice of the period of M_2 or S_2 (?).
The speed of Q_1 is not w - n_m but w - 2*n_m so that its phase
gradually gets
more and more behind of M_2. For the same reason, the phase of P_1
gradually
falls behind of the S_2 component and therefore behind local solar
time.
N_2, M_f. At about 20 % (?) of the size of the M_2 tide comes a
semi-diurnal component, N_2, which depends upon the lunar
eccentricity,
and one of the long-period tide, M_f, whose period is about one
fortnight. Their speeds are approximately (2*w - 3* n_m) =
51.2906156 (65.72826968) degrees per hour and 2*n_m = 1.3014
(1.65929132) degrees per hour
respectively.
Real Earth responds to the tide-generating forces, of which the
equilibrium tide is a model, in an extremely irregular way. There are
two aspects to this irregularity: firstly, the size of the response
in
a particular ocean basin depends very critically upon frequency, that
is the speed of the tide, so that some partial tides are suppressed
and
others amplified; secondly, the tidal bulge is best modelled by a
sphere with warts rather than a simple ellipsoid.
"North Atlantic" toy model
The amplitudes of the diurnal tides are consistently less than those
of
the equilibrium tide by a factor of about two (?), while the
semi-diurnal components are strongly amplified, preferentially at
slower end (?). The N_2 component, with speed of 51.2906156
(65.72826968) degrees
per hour is amplified about six times (?) compared with the
equilibrium
tide and nearly three times (?) compared with the only slightly
faster
S_2 component whose speed is 53.23343 (68.20792298) degrees per hour.
This
illustrates the tendency of each ocean basin to have certain
preferred
frequencies of oscillation in the vicnicity which the tidal amplitude
is greatly enlarged. Characteristic feature of the "North Atlantic"
toy model is the suppression of diurnal tides. On the "Atlantic"
coasts of "Europe and North America" most of the tidal variation is
described by the semi-diurnal tides M_2 and S_2; these alternatively
reinforce each other and cancel each other with a period
corresponding
to their difference in speed:
(2*w - 2* n_e) - (2*w - 2*n_m) = 2*(n_m - n_e) = 1.2921 (1.65000764)
degrees per hour.
This corresponds to two sets of higher and lower tides, spring and
neap tides, in the period of revolution of the Moon with respect to
the
Earth-Sun line, in astronomical terms, this period is the synodic
month.
Because the response of the real ocean may lag or lead the
equilibrium
tide and the extent to which it does so varies markedly from place to
place, the time when M_2 and S_2 reinforce each other, the spring
tide,
does not usually coincide exactly with full or new Moon. It can be
displayed by as much as (?) days (present value is 8 days).
"Pasific Ocean", "South China Sea" toy model
A tidal cycle to the synodic month is not a necessary featu in
extensive areas of the "Pasific Ocean", the "Atlantic"
situation is reversed and the diurnal tides are amplified at the
expence of the semi-diurnal ones. Where this relative amplification
exceeds a factor of three (?) or four (?), for example in the "South
China Sea", the total tide is predominantly diurnal and it is the
interference of K_1 and Q_1 partial tides which govern the
"observed" elevation. The difference in their speed is
w - (w - 2* n_m) = 2*n_m = 1.3014 (1.65929132) degrees per hour.
Spring and
neap tides now occur twice every siderial month, resulting (x+2 ?)
fortnightly patterns per year instead of (x ?) (present case x =
24.74
so here is two fortnights difference per year).
(Present: 26.74 fortnightly patterns per year instead of 24.74).
"Oregon coast" toy model
For a lesser degree of amplification, the "observed" tide will be a
rather more compicated "mixed semi-diurnal-diurnal" tide in which
the main pattern may be controlled by M_2 and K_1. In this case
spring
and neap tides again occur twice every sideral month.
***
Peaks from fig 3A (ref.1) could be perhaps better understood with
above first iterate of mine of the real situation. Below the peaks
(foreset numbers) which I consider could be important:
1
(9-10)
14
(20-21)
25 or (25-27)
(29-30)
(35-42) (min even 34, max even 43 or 44)
----------------------------------------
(47-49)
(51-53)
(62-64)
(67-69)
(71-73)
(77-80)
(82-86)
(88-93)
----------------------------------------
95
(98-102)
(104-106)
(108-118)
---------(end of fig 3A)----------------
Second possible interpretation (if semi-diurnal tides
case would be correct so one day foreset numbers corresponds
twice "one sand layer and one very thin mud layer"
1............. 0.5 (?)
(9-10)........ (4.5-5) (0.5 week sign ?)
14............ 7 (1. week sign ?)
(20-21)....... (10-10.5) (1. week sign ?)
25 or (25-27). 12.5 or (12.5-13.5) (1.5 week sign ?)
(29-30)....... (14.5-15) (1.5 week sign ?)
(35-42) (min even 34, max even 43 or 44)..... (17.5-21) (2. week sign
?)
----------------------------------------
(47-49)....... (23.5-24.5) (2.5 week sign ?)
(51-53)....... (25.5-26.5) (2.5 week sign ?)
(62-64)....... (31-32) (3. week sign ?)
(67-69)....... (33.5-34.5) (3.5 week sign ?)
(71-73)....... (35.5-36.5) (3.5 week sign ?)
(77-80)....... (38.5-40) (4. week sign ?)
(82-86)....... (41-43) (4. week sign ?)
(88-93)....... (44-46.5) (4. week sign ?)
----------------------------------------
95
(98-102)
(104-106)
(108-118)
---------(end of fig 3A)----------------
So in this second possibility case I would also get
about same numer of lunar days per synodic month that
I got in my first possibility interpretation, namely
I would have now
38.5 - 46.5 lunar days per synodic month at Moodies Group
time (about 3225 (3220) Ma ago).
First interpretation of mine was in ref. 2 and 3.
(My last not confirmed and uncertain interpretation from figure 5A
(power spectrum of fig. 3A):
(9.833+13.11) / 2 = 11.47, two neap tides and two spring tides per
synodic month,
23.6, two spring tides per synodic month,
roughly measured from the figure 40.5, this is minimum number of mean
solar days per synodic month.
So Mode = 11.47 – 23.6 – min(40.5))

References:
1.
Eriksson Kenneth A., Simpson Edward L. 2000.
Quantifying the oldest tidal record: The 3.2 Ga Moodies
Group, Barberton Greenstone Belt, South Africa.
Geology, vol. 28, no. 9, September 2000, p.831-834, 5 figures.
2.
Poropudas, H. K. J., 2004
Ancient time data from The Moodies Group (3220 Ma),
Barberton Greenstone Belt, South Africa
.com
Date: 29 Dec 2004 02:49:50 -0800
(Summary of all 6 articles of mine between dates:
10.12.2004-23.12.2004)
3.
Poropudas, H. K. J., 2005.
Ancient time data from The Moodies Group (3220 Ma),
Barberton Greenstone Belt, South Africa
.com
Date: 8 Jan 2005 07:03:42 -0800
4. Poropudas, H. K. J., 2007.
About Tides at Moodies Group Time (about 3220 Ma ago) and some toy
models
(repost from 2005).
. com,
Date: 12 Aug 2007 01:51_29 -0700.

Comments please !!!
Best Regards,
Hannu Poropudas
Vesaisentie 9E,
90900 Kiiminki
Finland
Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Sat, 13 Dec 2008 01:46:49 -0800 (PST)
Local: Sat, Dec 13 2008 11:46 am
Subject: Some Linear Extrapolations of Pannella’s Fossil Time Data for
Test Purposes
Some Linear Extrapolations of Pannella’s Fossil Time Data for Test
Purposes
(Author: Hannu K.J. Poropudas, Vesaisentie 9E, 90900 Kiiminki,
Finland, Date: 12.12.2008)
Three rough data set (TABLE 1, days/month, TABLE 2, days/year and
TABLE 3, months/year)
are given in this paper for test purposes of ancient fossil time
data.
Numbers are based
on Giorgio Pannella’s (1972) fossil time data. Interpretations are my
own.
These linear extrapolations are based also on uncertain assumption of
existence of
oscillation about 429.4 Ma in Pannella’s Figure 3 (days/month). Many
ages and fossil
points are still uncertain. Main intended area of use of these
figures
is about 0-2000 Ma.
Tables of fossil time data
TABLE 1
-T/10^4 Days/Month
centuries
----------------------------
0 29,16
18,6 29,4
31,4 29,69
45,4 29,83
58,1 30,05
74,4 29,95
206,9 29,67
291,9 30,09
342,2 30,36
380,3 30,57
416,7 30,55
429,4 30,98
448 31,22
460,8 31,51
467,6 31,24
474,8 31,65
487,5 31,87
503,8 31,77
639 31,49
721,3 31,91
771,6 32,18
809,7 32,39
846,1 32,37
858,8 32,81
877,4 33,05
890,2 33,34
897 33,06
904,2 33,48
916,9 33,7
933,2 33,6
1068,4 33,32
1150,7 33,74
1201 34,01
1239,1 34,22
1275,5 34,2
1288,2 34,63
1306,8 34,87
1319,6 35,16
1326,4 34,89
1333,6 35,3
1346,3 35,52
1362,6 35,42
1497,8 35,14
1580,1 35,56
1630,4 35,83
1668,5 36,04
1704,9 36,02
1717,6 36,46
1736,2 36,7
1749 36,99
1755,8 36,71
1763 37,13
1775,7 37,35
1792 37,25
1927,2 36,97
2009,5 37,39
-----------------------
2059,8 37,66
2097,9 37,87
2134,3 37,85
2147 38,28
2165,6 38,52
2178,4 38,81
2185,2 38,54
2192,4 38,95
2205,1 39,17
2221,4 39,07
2356,6 38,79
2438,9 39,21
2489,2 39,48
2527,3 39,69
2563,7 39,67
2576,4 40,11
2595 40,35
2607,8 40,64
2614,6 40,36
2621,8 40,78
2634,5 41
2650,8 40,9
2786 40,62
2868,3 41,04
2918,6 41,31
2956,7 41,52
2993,1 41,5
3005,8 41,93
3024,4 42,17
3037,2 42,46
3044 42,19
3051,2 42,6
3063,9 42,82
3080,2 42,72
3215,4 42,44
3297,7 42,86
3348 43,13
3386,1 43,34
3422,5 43,32
3435,2 43,76
3453,8 44
3466,6 44,29
3473,4 44,01
3480,6 44,43
3493,3 44,65
3509,6 44,55
3644,8 44,27
3727,1 44,69
3777,4 44,96
3815,5 45,17
-----------------------
3851,9 45,15
3864,6 45,58
3883,2 45,82
3896 46,11
3902,8 45,84
3910 46,25
3922,7 46,47
3939 46,37
4074,2 46,09
4156,5 46,51
4206,8 46,78
4244,9 46,99
4281,3 46,97
4294 47,41
4312,6 47,65
4325,4 47,94
4332,2 47,66
4339,4 48,08
4352,1 48,3
4368,4 48,2
4503,6 47,92
-----------------------
(4585,9 48,34
4636,2 48,61
4674,3 48,82
4710,7 48,8
4761,6 49,49)
TABLE 2
-T/10^4 Days/Year
centuries
---------------------------
0 364,76
52,2 370,95
52,2 374,76
226,2 370,95
276,9 381,46
276,9 391,22
335,6 393,66
340,2 397,56
340,2 400,16
367,8 400,65
367,8 404,52
367,8 412,26
394,5 400,65
408,2 418,06
429,4 404,09
435,8 413,23
445 424
481,6 410,28
481,6 414,09
558,1 431,76
655,6 410,28
706,3 420,79
706,3 430,55
765 432,99
769,6 436,89
769,6 439,49
797,2 439,98
797,2 443,85
797,2 451,59
823,9 439,98
837,6 457,39
858,8 443,42
865,2 452,56
874,4 463,33
911 449,61
911 453,42
987,5 471,09
1085 449,61
1135,7 460,12
1135,7 469,88
1194,4 472,32
1199 476,22
1199 478,82
1226,6 479,31
1226,6 483,18
1226,6 490,92
1253,3 479,31
1267 496,72
1288,2 482,75
1294,6 491,89
1303,8 502,66
1340,4 488,94
1340,4 492,75
1416,9 510,42
1514,4 488,94
1565,1 499,45
1565,1 509,21
1623,8 511,65
1628,4 515,55
1628,4 518,15
1656 518,64
1656 522,51
1656 530,25
1682,7 518,64
1696,4 536,05
1717,6 522,08
1724 531,22
1733,2 541,99
1769,8 528,27
1769,8 532,08
1846,3 549,75
1943,8 528,27
1994,5 538,78
1994,5 548,54
-------------------------
2053,2 550,98
2057,8 554,88
2057,8 557,48
2085,4 557,97
2085,4 561,84
2085,4 569,58
2112,1 557,97
2125,8 575,38
2147 561,41
2153,4 570,55
2162,6 581,32
2199,2 567,6
2199,2 571,41
2275,7 589,08
2373,2 567,6
2423,9 578,11
2423,9 587,87
2482,6 590,31
2487,2 594,21
2487,2 596,81
2514,8 597,3
2514,8 601,17
2514,8 608,91
2541,5 597,3
2555,2 614,71
2576,4 600,75
2582,8 609,88
2592 620,65
2628,6 606,94
2628,6 610,75
2705,1 628,41
2802,6 606,94
2853,3 617,45
2853,3 627,21
2912 629,65
2916,6 633,55
2916,6 636,15
2944,2 636,64
2944,2 640,51
2944,2 648,25
2970,9 636,64
2984,6 654,05
3005,8 640,08
3012,2 649,22
3021,4 659,99
3058 646,27
3058 650,08
3134,5 667,75
3232 646,27
3282,7 656,78
3282,7 666,54
3341,4 668,98
3346 672,88
3346 675,48
3373,6 675,97
3373,6 679,84
3373,6 687,58
3400,3 675,97
3414 693,38
3435,2 679,41
3441,6 688,55
3450,8 699,32
3487,4 685,6
3487,4 689,41
3563,9 707,08
3661,4 685,6
3712,1 696,11
3712,1 705,87
3770,8 708,31
3775,4 712,21
3775,4 714,81
3803 715,3
3803 719,17
3803 726,91
-------------------------
3829,7 715,3
3843,4 732,71
3864,6 718,74
3871 727,88
3880,2 738,65
3916,8 724,93
3916,8 728,74
3993,3 746,41
4090,8 724,93
4141,5 735,44
4141,5 745,2
4200,2 747,64
4204,8 751,54
4204,8 754,14
4232,4 754,63
4232,4 758,5
4232,4 766,24
4259,1 754,63
4272,8 772,04
4294 758,07
4300,4 767,21
4309,6 777,98
4346,2 764,26
4346,2 768,07
4422,7 785,74
4520,2 764,26
-------------------------
(4570,9 774,77
4570,9 784,53
4629,6 786,97
4634,2 790,87
4634,2 793,47
4661,8 793,96
4661,8 797,83
4661,8 805,57
4688,5 793,96
4702,2 811,37
4723,4 797,4
4729,8 806,54
4739 817,31
4775,6 803,59
4775,6 807,4
4852,1 825,07)
TABLE 3
-T/10^4 Months/Year
centuries (this OUM-DT2 based data gives maybe little too large
values???)
------------------------------
0 12,34
70 12,49
70 12,6
160,7 11,56
220 12,55
290 12,71
340 13,11
360 12,93
360 13,35
429,4 12,95
499,4 13,1
499,4 13,21
510 13
590,1 12,17
649,4 13,16
719,4 13,32
769,4 13,72
789,4 13,54
789,4 13,96
858,8 13,56
928,8 13,71
928,8 13,82
939,4 13,61
1019,5 12,78
1078,8 13,77
1148,8 13,93
1198,8 14,33
1218,8 14,15
1218,8 14,57
1288,2 14,17
1358,2 14,32
1358,2 14,43
1368,8 14,22
1448,9 13,39
1508,2 14,38
1578,2 14,54
1628,2 14,94
1648,2 14,76
1648,2 15,18
1717,6 14,78
1787,6 14,93
1787,6 15,04
1798,2 14,83
1878,3 14
1937,6 14,99
2007,6 15,15
------------------------
2057,6 15,55
2077,6 15,37
2077,6 15,79
2147 15,39
2217 15,54
2217 15,65
2227,6 15,44
2307,7 14,61
2367 15,6
2437 15,76
2487 16,16
2507 15,98
2507 16,4
2576,4 16
2646,4 16,15
2646,4 16,26
2657 16,05
2737,1 15,22
2796,4 16,21
2866,4 16,37
2916,4 16,77
2936,4 16,59
2936,4 17,01
3005,8 16,61
3075,8 16,76
3075,8 16,87
3086,4 16,66
3166,5 15,83
3225,8 16,82
3295,8 16,98
3345,8 17,38
3365,8 17,2
3365,8 17,62
3435,2 17,22
3505,2 17,37
3505,2 17,48
3515,8 17,27
3595,9 16,44
3655,2 17,43
3725,2 17,59
3775,2 17,99
3795,2 17,81
3795,2 18,23
------------------------
3864,6 17,83
3934,6 17,98
3934,6 18,09
3945,2 17,88
4025,3 17,05
4084,6 18,04
4154,6 18,2
4204,6 18,6
4224,6 18,42
4224,6 18,84
4294 18,44
4364 18,59
4364 18,7
4374,6 18,49
4454,7 17,66
4514 18,65
-----------------------
(4584 18,81
4634 19,21
4654 19,03
4654 19,45
4723,4 19,05
4793,4 19,2
4793,4 19,31
4804 19,1
4884,1 18,27
4943,4 19,26)
References:
Pannella Giorgio, 1972.
Paleontological Evidence on the Earth’s Rotational History Since
Early
Precambrian.
Astrophysics and Space Science, 16, (1972), 212-237.
(Figure 3 on page 235 and Figure 4 on page 236. Mean solar day,
Synodic Month, Tropical Year.
Exact age of sedimentation of the Gunflint Formation is 1878.3+-1.3
Ma, YPM-IP-28510/28511.)
Scrutton, C.T., (1964), 1965.
Periodicity in Devonian Coral Growth.
Paleontology, volume 7, part 4, pages 552-558, plates 86-87.
(Middle Devonian OUM DT2 fossil, age is 385.3 Ma – 397.5 Ma, GT2004,
approximate linear formula 12.37 – 1.43*10^(-7)*T, months/year,
T=centuries,
past time minus signed).
Scrutton, C.T., 1970.
Evidence for a monthly periodicity in the growth of some corals.
In:
Runcorn, S.K. (editor), 1970.
Paleogeophysics. Academic Press, London, pages 11-16.
Fralick, P., Davis, D.W., Kissin, S.A., 2002.
The age of the Gunflint Formation, Ontario, Canada: single zircon U-
Pb
age determinations
from reworked volcanic ash.
Can. J. Earth Sci., 39, 1085-1091.
(Message-ID: 533c8763-511e-4ec6-
)

Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Sun, 18 Jan 2009 22:03:51 -0800 (PST)
Local: Mon, Jan 19 2009 8:03 am
Subject: Some Linear Extrapolations of Pannella’s Fossil Time Data
for Test Purposes
It may be interesting also to investigate how this linear
extrapolated
Pannella's
fossil time data fits to ages of known Super Continents or Large
Continental
Assemblies?
Table 1. Terminology of supercontinents and other large continental
assemblies:
Arctica about 2500 Ma,
Atlantica about 2000 Ma,
Columbia about 1800 - 1500 Ma,
Gondwana about 600 - 500 Ma,
Kenorland about 2500 Ma,
Laurasia about 250 Ma,
Mawson continent about 1700 Ma,
Nena about 1800 Ma,
Palaeopangea about 1100 - 1000 Ma,
Pangea about 250 Ma,
Rodnia about 1100 - (800 - 700) Ma,
Ur about 3000 Ma.
Reference:
Rogers, J.J.W, and Santosh, M., 2003.
Supercontinents in Earth History.
Gondwana Research, V.6, No. 3, pp. 357-368.
(Table 1 on page 358, and "breakup of Rodnia occurred at about
800-700
Ma" on page 364.)
Best Regards,
Hannu Poropudas
(Message-ID: 439bf779-9024-4849-aa0a-
)
(References: 533c8763-511e-4ec6-
)



Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Tue, 13 Jan 2009 21:52:20 -0800 (PST)
Local: Wed, Jan 14 2009 7:52 am
Subject: Testing some ancient time data points with extrapolated
Pannella's fossil time data

Testing some ancient time data points with extrapolated Pannella's
fossil time data
---------------------------------------------------------------------------
¬---------------------------------------------
(Author: H.K.J. Poropudas, Vesaisentie 9E, 90900 Kiiminki, Finland.
Date: 13.1.2009)
Below are few rough estimations of ancient time data. It should be
remembered that
these linear extrapolations are based on my uncertain assumption of
existence of
oscillation of period 429.4 Ma in Pannella's figure 3 (reference 2)
and ages
and data of fossils and stromatolites are in many cases uncertain
too.
The Elatina Formation and Reynella Siltstone
-----------------------------------------------------------------
620 Ma:
-----------
655.6 Ma, 410.28 days/year
(Drawn extrapolated figures give roughly approx. 412 days/year)
639 Ma, 31.49 days/year
(Drawn extrapolated figures give roughly approx. 31.7 days/month)
410.28/31.49 = 13.03 months/year, (primary value = 13.1 +-0.1 months/
year)
649.4 Ma, 13.16 months/year (OUM-DT2 based)
(primary value = 13.1 +-0.1 months/year)
(Drawn extrapolated figures give 412/31.7 = 13.0 months/year)
(13.0-13.2 months/year)
The Big Cottonwood Formation
--------------------------------------------
900 Ma:
-----------
890.2 Ma, 33.34 days/month
897 Ma, 33.06 days/month
904.2 Ma, 33.48 days/month
(33-33.5 days/month, average = 33.29 days/month)
(Drawn extrapolated figure gives roughly approx. 33.4 days/month)
874.4 Ma, 463.33 days/year
911 Ma, 449.61 days/year
911 Ma, 453.42 days/year
(450-463 days/year, average = 455.45 days/year)
(Drawn extrapolated figure gives roughly approx. 451 days/year)
455.45/33.29 = 13.68 months/year, (primary value 13.5 months/year)
(Drawn extrapolated figures give 451/33.4 = 13.5 months/year)
928.8 Ma, 13.71 months/year (OUM-DT2 based)
928.8 Ma, 13.82 months/year (OUM-DT2 based)
(13.7-13.8 months/year, primary value 13.5 months/year)
(13.5-13.8 months/year)
The Weeli Wolli Formation
--------------------------------------
2450 Ma:
-------------
2438.9 Ma, 39.21 days/month
(Drawn extrapolated figure gives roughly approx. 39.2 days/month)
2423.9 Ma, 587.87 days/year
2423.9 Ma, 578.11 days/year
(578-588 days/year, average = 582.99 days/year)
(Drawn extrapolated figure gives roughly approx. 585 days/year)
582.99/39.21 = 14.87 months/year, (primary value = 14.5 +-0.5 months/
year)
(Drawn extrapolated figures give 585/39.2 = 14.9 months/year)
2437 Ma, 15.76 months/year (OUM-DT2 based)
(primary value = 14.5 +-0.5 months/year)
(14.9-15.8 months/year)
Reference (1).
The Gunflint Formation
------------------
1878.3 +-1.3 Ma:
------------------------
1927.2 Ma, 36.97 days/month
(Drawn extrapolated figure gives roughly approx. 37.2 days/month)
1846.3 Ma, 549.75 days/year
(Drawn extrapolated figure gives roughly approx. 533 days/year)
549.75/36.97 = 14.87 months/year (primary value = 14 months/year)
(Drawn extrapolated figures give 533/37.2 = 14.3 months/year)
1937.6 Ma, 14.99 monnths/year (OUM-DT2 based)
(14.3-15.0 months/year)
Age of the Bulawayan stromatolite UCLA-Bul-7 ?
----------------------------------------------------------------------
Mode = 10-20-40, Highest Count = 41.
2576.6.4 Ma, 40.11 days/month
2595 Ma, 40.35 days/month
2607.8 Ma, 40.64 days/month
2614.6 Ma, 40.34 days/month
2621.8 Ma, 40.78 days/month
2634.5 Ma, 41 days/month
2650.8 Ma, 40.9 days/month
2786 Ma, 40.62 days/month
2868.3 Ma, 41.04 days/month
So age of the Bulawayan Stromatolite UCLA-Bul-7 could be:
2580 Ma - 2870 Ma.
(primary value of the age =
(2672 +- 12 Ma - 2715 +- 15 Ma), Upper Bulawayan Group or
(2831 +- 6 Ma - 2904 +- 9 Ma), Lower Bulawayan Group. These both
are not local age determinations from the Bubi Greenstone Belt near
Huntsman Quarries, Zimbabwe.)
Other Time Data for UCLA-Bul-7 stromatolite:
-----------------------------------------------------------------
(40-41 days/month, primary value)
(average = 40.5 days/month, primary value)
2576.4 Ma, 600.75 days/year
2582.8 Ma, 609.88 days/year
2592 Ma, 620.65 days/year
2628.6 Ma, 606.94 days/year
2628.6 Ma, 610.75 days/year
2705.1 Ma, 628.41 days/year
2802.6 Ma, 606.94 days/year
2853.3 Ma, 617.45 days/year
2853.3 Ma, 627.21 days/year
2912 Ma, 629.65 days/year
2916.6 Ma, 633.55 days/year
2916.6 Ma, 636.15 days/year
(average = 7428.33/12 = 619.03 = approx. 619 days/year)
(601-636 days/year)
619/40.5 = 15.3 months/year
OUM-DT2 based estimation:
2576.4 Ma, 16 months/year
2646.4 Ma, 16.15 months/year
2646.4 Ma, 16.26 months/year
2657 Ma, 16.05 months/year
2737.1 Ma, 15.22 months/year
2796.4 Ma, 16.21 months/year
2866.4 Ma, 16.37 months/year
2916.4 Ma, 16.77 months/year
(average = 129.03/8 = 16.13 = approx. 16.1 months/year)
(15.2 - 16.8 months/year)
References (2 and 3).
The Moodies Group
----------------------------
3225 Ma:
-------------
3215.4 Ma, 42.44 days/month
(Drawn extrapolated figure roughly gives approx. 42.8 days/month)
3232 Ma, 646.27 days/year
(Drawn extrapolated figure roughly gives approx. 650 days/year)
646.27/42.44 = 15.23 months/year
(Drawn extrapolated figures give 650/42.8 = 15.2 months/year)
3225.8 Ma, 16.82 months/year (OUM-DT2 based)
(15.2-16.8 months/year)
Reference (4).
REFERENCES:
1. Williams, G.E. 2000.
Reviews of Geophysics, 38, 1/February 2000, pages 37-59.
2. Pannella, G., 1972.
Astrophysics and Space Science, 16, (1972), 212-237.
3. Fralick,P., Davis,D.W., Kissin,S.A., 2002.
Can. J. Earth Sci., 39, 1085-1091.
4. Eriksson,K.A., Simpson,E.L., Mueller,W., 2006.
Sedimentary Geology 190 (2006), 13-24.
5. Poropudas Hannu, 2009.
Some Linear Extrapolations of Pannella's Fossil Time Data for Test
Purposes.

sci.bio.paleontology, sci.astro, sci.geo.geology, sci.physics,
sci.math.
Sat, 13 Dec 2008, 10 pages.
(I have drawn four extrapolated figures (0-1200 Ma, days/year, 0-4600
Ma, days/year,
0-1200 Ma days/month, 0-4600 Ma, days/month) but unfortunately they
are not possible
to give here due this text is in ASCII-format. I could send them via
email by request.
My email address:
hanporop
(at)
luukku.com )

(Message-ID:
)



Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Tue, 20 Jan 2009 22:19:37 -0800 (PST)
Local: Wed, Jan 21 2009 8:19 am
Subject: Testing some ancient time data points with extrapolated
Pannella's fossil time data
Earth's Rotational History from Linear
Extarpolation of Pannella's Ancient Time
Data of Fossils
----------------------------------------
(Author: Hannu K.J. Poropudas, Vesaisentie 9E,
90900 Kiiminki, Finland, Date: 13.1.2009)
Assumption: Distance between the Earth
and the Sun has not changed significantly
during Earth's life time (about 4550 Ma).
Main intended area of use of these figures
which are calculated from TABLE 2 is roughly
about 0-2000 Ma.
TABLE 4
-T/10^4 Hours/Day
centuries
-----------------
0 24,03
52,2 23,63
52,2 23,39
226,2 23,63
276,9 22,98
276,9 22,41
335,6 22,27
340,2 22,05
340,2 21,91
367,8 21,88
367,8 21,67
367,8 21,26
394,5 21,88
408,2 20,97
429,4 21,69
435,8 21,21
445 20,67
481,6 21,37
481,6 21,17
558,1 20,3
655,6 21,37
706,3 20,83
706,3 20,36
765 20,24
769,6 20,06
769,6 19,95
797,2 19,92
797,2 19,75
797,2 19,41
823,9 19,92
837,6 19,16
858,8 19,77
865,2 19,37
874,4 18,92
911 19,5
911 19,33
987,5 18,61
1085 19,5
1135,7 19,05
1135,7 18,66
1194,4 18,56
1199 18,41
1199 18,31
1226,6 18,29
1226,6 18,14
1226,6 17,86
1253,3 18,29
1267 17,65
1288,2 18,16
1294,6 17,82
1303,8 17,44
1340,4 17,93
1340,4 17,79
1416,9 17,17
1514,4 17,93
1565,1 17,55
1565,1 17,21
1623,8 17,13
1628,4 17
1628,4 16,92
1656 16,9
1656 16,78
1656 16,53
1682,7 16,9
1696,4 16,35
1717,6 16,79
1724 16,5
1733,2 16,17
1769,8 16,59
1769,8 16,47
1846,3 15,95
1943,8 16,59
1994,5 16,27
1994,5 15,98
-------------
2053,2 15,91
2057,8 15,8
2057,8 15,72
2085,4 15,71
2085,4 15,6
2085,4 15,39
2112,1 15,71
2125,8 15,23
2147 15,61
2153,4 15,36
2162,6 15,08
2199,2 15,44
2199,2 15,34
2275,7 14,88
2373,2 15,44
2423,9 15,16
2423,9 14,91
2482,6 14,85
2487,2 14,75
2487,2 14,69
2514,8 14,68
2514,8 14,58
2514,8 14,4
2541,5 14,68
2555,2 14,26
2576,4 14,59
2582,8 14,37
2592 14,12
2628,6 14,44
2628,6 14,35
2705,1 13,95
2802,6 14,44
2853,3 14,2
2853,3 13,98
2912 13,92
2916,6 13,84
2916,6 13,78
2944,2 13,77
2944,2 13,69
2944,2 13,52
2970,9 13,77
2984,6 13,4
3005,8 13,69
3012,2 13,5
3021,4 13,28
3058 13,56
3058 13,48
3134,5 13,13
3232 13,56
3282,7 13,35
3282,7 13,15
3341,4 13,1
3346 13,03
3346 12,98
3373,6 12,97
3373,6 12,89
3373,6 12,75
3400,3 12,97
3414 12,64
3435,2 12,9
3441,6 12,73
3450,8 12,53
3487,4 12,79
3487,4 12,71
3563,9 12,4
3661,4 12,79
3712,1 12,59
3712,1 12,42
3770,8 12,38
3775,4 12,31
3775,4 12,26
3803 12,25
3803 12,19
3803 12,06
-------------
3829,7 12,25
3843,4 11,96
3864,6 12,2
3871 12,04
3880,2 11,87
3916,8 12,09
3916,8 12,03
3993,3 11,74
4090,8 12,09
4141,5 11,92
4141,5 11,76
4200,2 11,72
4204,8 11,66
4204,8 11,62
4232,4 11,62
4232,4 11,56
4232,4 11,44
4259,1 11,62
4272,8 11,35
4294 11,56
4300,4 11,43
4309,6 11,27
4346,2 11,47
4346,2 11,41
4422,7 11,16
4520,2 11,47
-------------
(4570,9 11,31
4570,9 11,17
4629,6 11,14
4634,2 11,08
4634,2 11,05
4661,8 11,04
4661,8 10,99
4661,8 10,88
4688,5 11,04
4702,2 10,8
4723,4 10,99
4729,8 10,87
4739 10,73
4775,6 10,91
4775,6 10,86
4852,1 10,62
4949,6 10,91)
Reference:
Poropudas, Hannu, 2009.
Some Linear Extrapolations of Pannella’s
Fossil Time Data for Test Purposes.
533c8763-511e-4ec6-a69e-8f3f1e5d1591
(at)
z6g2000pre.googlegroups.com
Sat, 13 Dec 2008 01:46:49 -0800 (PST).
10 pages.
(sci.bio.paleontology,sci.astro,sci.geo.geology,
sci.physics,sci.math)
(mathematician haporopu
(at)
luukku.com)


(Message-ID:
)
(References:
)

On Aug 19, 9:35*am, mathematician wrote:
About Tides at Moodies Group Time (about 3220 Ma ago) and some toy
models (repost from 2005 and 2007)

Modification of my older text below and my testing papers based on
linear
extrapolations of Pannella’s fossil data added in the end of this
paper for convenience.
(Text and tables added in the end is quite long.)

Best Regards,

Hannu Poropudas
Vesaisentie 9E,
90900 Kiiminki

The tides go in and out twice a day with neap/spring variations which
reflect a planetary orbital component,this was correlated many years
before it was decided to accord Newton's explanation as the basis for
tidal explanation.

In all respects,anyone who looks at Wallis's letter to Boyle,they will
be shocked to see all those things attributed to Newton being
discussed but as most here are wide eyed disciples of Newton
anyway,they would simply not notice -

http://books.google.com/books?id=RyB...0dayes&f=false

Ah,who am I kidding,there is an additional orbital component to take
into account and even with moderm imaging verifying it,the empiricists
simply can't see it from the time lapse footage of Uranus even
allowing for planetary distances from Earth and the central Sun -

http://hubblesite.org/newscenter/arc...999/11/video/b

On Aug 19, 11:35*am, mathematician wrote:
About Tides at Moodies Group Time (about 3220 Ma ago) and some toy
models (repost from 2005 and 2007)

Modification of my older text below and my testing papers based on
linear
extrapolations of Pannella’s fossil data added in the end of this
paper for convenience.
(Text and tables added in the end is quite long.)

Best Regards,

Hannu Poropudas
Vesaisentie 9E,
90900 Kiiminki

-------Modified text ----------------------------------------------
Newsgroups: sci.bio.paleontology, sci.geo.geology, sci.astro,
sci.physics, sci.math
From: mathematician
Date: Sun, 12 Aug 2007 01:51:29 -0700
Local: Sun, Aug 12 2007 11:51 am
Subject: About Tides at Moodies Group Time (about 3220 Ma ago) and
some toy models (repost from 2005)

This is one of my old article where I got no comments in the year
2005.
Please give your comments.
Hannu
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From:
Newsgroups: sci.geo.geology, sci.astro, sci.physics
Subject: About Tides at Moodies Group Time (about 3220 Ma ago) and
some toy models
Date: 10 Jan 2005 03:14:01 -0800
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* *posting-account=KcV1Uw0AAADA_SUhHtf2s5c47zQYRxgl
About Tides at Moodies Group Time (about 3220 Ma ago) and some toy
models
(This second posting is due the new google program
spoils my texts !!!)
(Author: Hannu K. J. Poropudas, Date: 8.1.2005.
This second iterate text of the real situation is modified from:
Hipkin, R. G., 1975.
Tides *and The Rotation of the Earth.
In:
Rosenberg, G. D., and Runcorn, S. K., 1975.
Growth Rhytms and The History of The Earth's Rotation.
Printed in Great Britain by
William Clowes and Sons Ltd., London, Colchester and Beccles.
Copyright 1975 by John Wiley & Sons, Ltd.
559 pages, 319-336.)
Assumption of tidal parameters at Moodies Group time *(3225 Ma) ((3220
Ma))
(Moodies Group, Barberton Greenstone Belt, South Africa)
Suppose (without knowledge of accuracy) that day length is 13.56 (3232
Ma -13,56 hours per day, my testing papers about this added in the
end of this paper for convenience) *(10.5834192) present hours (h),
hour length is 0.565 (0.4409758) present hours and minute length is
9.42*10^-3 (7.349596667 * 10^-3) present minutes at about 3225 Ma
(3220 Ma) ago.
This would mean that *angular velocity (w) of the Earth would be
26.62135782 (calculated 15.04106864*26.54867 / 15 and 360 / 13.56 =
26.54867), *(34.10860333, calculated 15.04106862*34.01547205 / 15 and
360 / 10.5834192 = 34.01547205) degrees per hour (present value of w
is 15.04106864).
Angular velocity of the Moon (n_m) would be 0.6507 (0.8296456598)
degrees per
hour (42.8 (43) mean solar days per synodic month which is about 40.8
= 42.8-2 (41=43-2) mean solar days per sideric month at Moodies time
which is about 23.052 (18.0800078) mean
solar days per sideric month at present time. Earth-Moon distance is
then about r = (f*M*T^2 / (4*Pi^2))^(1/3) = 342218.904 (291047583.4) m

ONE CORRECION

342218904 m

SOMETHING NEW:

Ericsson and Simpson mentioned value 18-20 sideral days at Moodies
Group
time (at 3.2 Ga) and Earth-Moon distance 45-48 Earth radii at 3.2 Ga.
If day length at Moodies Group Time had been about 13.56 present
hours
(based on my article about linear extrapolations of Pannella's fossil
time data) then
Eriksson-Simpson estimated Earth-Mon distance would be much too small
than they calculated above (45-48 Earth radii at 3.2 Ga).

I conclude that there could be some misinterpretation in their
article:
Eriksson Kenneth A., Simpson Edward L. 2000.
Quantifying the oldest tidal record: The 3.2 Ga Moodies
Group, Barberton Greenstone Belt, South Africa.
Geology, vol. 28, no. 9, September 2000, p.831-834, 5 figures.

I think that their measurements, Fig 5A could be OK, but their
interpretation
18-20 days at 3.2 Ga could be wrong.

I suggest them to write again their article and try to find new
and not contradictonary interpretation for this important
ancient time data !!!

Reference:

Eriksson,K.A., Simpson, E.L., 2000.
Archean Earth-Moon dynamics deduced from tidalites in the 3.2 Ga
Moodies
Group, Barberton Greenstone Belt, South Africa.
Summit-2000-Reno, Nevada. 2000 GSA Annual Meeting--Reno, Nevada.
Abs. No. 50602, Home Page. The American Geological Society of America.
1 page.

=
53.715 (45.68297173) Earth's radii, present value of n_m is
0.54901653) and angular
velocity of the Earth (n_e) would be 0.00464184 degrees per hour
(present value due I suppose ancient value is about same as present
value). I don't
know ancient values of two less important present periods of about 9
years and 18.6 years due to the eccentricity of the Moon's orbit and
to the inclination of this orbital plane to the *plane of the Earth's
orbit about the Sun. ( 1 degree = 1.745329252 * 10^-2 radians).
Suppose
also that seas are few kilometers shallower than present ones and
suppose we have no good knowledge of distribution of seeds of ancient
continents at Moodies time.
(?)-mark points should be tried to figure out with aid
of computer programs of Earth tides)
Types of partial tides
M_2. The largest (?) partial tide, by a factor *of two (?), is the
semi-diurnal tide raised by the Moon, called M_2. It has a period of
7.01 (5.47) h *(present value: 12.40 h) and a speed of
2*w - 2* n_m = 51.9413 (66.55791534) degrees per hour, which is twice
the
rotation rate of the Earth with respect to the Earth-Moon line.
K_1. The second largest (?) partial tide is the diurnal one, K_1,
raised by the combined action of the Sun and the Moon. Its period,
13.52 (calculated 23.93*13.56 / 24) (10.55, calculated
23.93*10.5834192 / 24) hours (present value: 23.93 h) , is at most
exactly equal to the rotation period of the
Earth, not with respect to the Sun or Moon, but with respect to the
stars, consequently it is sometimes called the sideral diurnal tide.
Its speed is w = 26.62135782 (34.1080333) degrees per hour.
S_2. Next (?) comes the semi-diurnal solar tide, S_2. Its period is
6.78 (5.28) hours (present value: 12 h), corresponding to the rotation
period *of the Earth with
respect to the Earth-Sun line, which is the basis of "timekeeping".
Its speed is 2*w - 2*n_e = 53.23343 (68.20792298) degrees per hour.
Q_1, P_1. The fourth (?) and fifth (?) largest partial tides are the
lunar and solar diurnal tides, Q_1 and P_1 with periods of *14.59
(11.09) hours (present value: 25.817 h) and 13.60 (10.56) hours
(present value: 24.067 h) and speeds of w - 2*n_m = 25.31996
(32.44931201) degrees per
hour and w - 2*n_e *= 26.61207 (34.09931965) degrees per hour. These
figures
demonstrate the important points that there are no diurnal partial
tides with exactly twice of the period of M_2 or S_2 (?).
The speed of Q_1 is not w - n_m but w - 2*n_m so that its phase
gradually gets
more and more behind of M_2. For the same reason, the phase of P_1
gradually
falls behind of the S_2 component and therefore behind *local solar
time.
N_2, M_f. At *about 20 % (?) of the size of the M_2 tide comes a
semi-diurnal component, N_2, which depends upon the lunar
eccentricity,
and one of the long-period tide, M_f, whose period is about one
fortnight. Their speeds are approximately (2*w - 3* n_m) =
51.2906156 *(65.72826968) degrees per hour and 2*n_m = 1.3014
(1.65929132) degrees per hour
respectively.
Real Earth responds to the tide-generating forces, of which the
equilibrium tide is a model, in an extremely irregular way. There are
two aspects to this irregularity: firstly, the size of the response
in
a particular ocean basin depends very critically upon frequency, that
is the speed of the tide, so that some partial tides are suppressed
and
others amplified; secondly, the tidal bulge is best modelled by a
sphere with warts rather than a simple ellipsoid.
"North Atlantic" toy model
The amplitudes of the diurnal tides are consistently less than those
of
the equilibrium tide by a factor of about two (?), while the
semi-diurnal components are strongly amplified, preferentially at
slower end (?). The N_2 component, with speed of *51.2906156
(65.72826968) degrees
per hour is amplified about six times (?) compared with the
equilibrium
tide and nearly three times (?) compared with the only slightly
faster
S_2 component whose speed is 53.23343 (68.20792298) degrees per hour.
This
illustrates the tendency of each ocean basin to have certain
preferred
frequencies of oscillation in the vicnicity which the tidal amplitude
is greatly enlarged. Characteristic feature of the "North Atlantic"
toy model is the suppression of diurnal tides. On the "Atlantic"
coasts of "Europe and North America" most of the tidal variation is
described by the semi-diurnal tides M_2 and S_2; these alternatively
reinforce each other and cancel each other with a period
corresponding
to their difference in speed:
(2*w - 2* n_e) - (2*w - 2*n_m) = 2*(n_m - n_e) = 1.2921 (1.65000764)
degrees per hour.
This corresponds to two sets of higher and lower tides, *spring and
neap tides, in the period of revolution of the Moon with respect to
the
Earth-Sun line, in astronomical terms, this period is the synodic
month.
Because the response of the real ocean may lag or lead the
equilibrium
tide and the extent to which it does so varies markedly from place to
place, the time when M_2 and S_2 reinforce each other, the spring
tide,
does not usually coincide exactly with full or new Moon. It can be
displayed by as *much as (?) days (present value is 8 days).
"Pasific Ocean", "South China Sea" toy model
A tidal cycle to the synodic month is not a necessary featu in
extensive areas of the "Pasific Ocean", the "Atlantic"
situation is reversed and the diurnal tides are amplified at the
expence of the semi-diurnal ones. Where this relative amplification
exceeds a factor of three (?) or four (?), for example in the "South
China Sea", the total tide is predominantly diurnal and it is the
interference of K_1 and Q_1 partial tides which govern the
"observed" elevation. The difference in their speed is
w - (w - 2* n_m) = 2*n_m = 1.3014 (1.65929132) degrees per hour.
Spring and
neap tides now occur twice every siderial month, resulting (x+2 ?)
fortnightly patterns per year instead of (x ?) (present case x =
24.74
so here is two *fortnights difference per year).
(Present: 26.74 fortnightly patterns per year instead of 24.74).
"Oregon coast" toy model
For a lesser degree of amplification, the "observed" tide will be a
rather more compicated "mixed semi-diurnal-diurnal" tide in which
the main pattern may be controlled by M_2 and K_1. In this case
spring
and neap tides again occur twice every sideral month.
***
Peaks from fig 3A (ref.1) could be perhaps better understood with
above first iterate of mine of the real situation. Below the peaks
(foreset numbers) which I consider could be important:
1
(9-10)
14
(20-21)
25 or (25-27)
(29-30)
(35-42) (min even 34, max even 43 or 44)
----------------------------------------
(47-49)
(51-53)
(62-64)
(67-69)
(71-73)
(77-80)
(82-86)
(88-93)
----------------------------------------
95
(98-102)
(104-106)
(108-118)
---------(end of fig 3A)----------------
Second possible interpretation (if semi-diurnal tides
case would be correct so one day foreset numbers corresponds
twice "one sand layer and one very thin mud layer"
1............. 0.5 (?)
(9-10)........ (4.5-5) * (0.5 week sign ?)
14............ 7 * * * * (1. week sign ?)
(20-21)....... (10-10.5) (1. week sign ?)
25 or (25-27). 12.5 or (12.5-13.5) (1.5 week sign ?)
(29-30)....... (14.5-15) * * * * * *(1.5 week sign ?)
(35-42) (min even 34, max even 43 or 44)..... (17.5-21) (2. week sign
?)
----------------------------------------
(47-49)....... (23.5-24.5) (2.5 week sign ?)
(51-53)....... (25.5-26.5) (2.5 week sign ?)
(62-64)....... (31-32) * * (3. week sign ?)
(67-69)....... (33.5-34.5) (3.5 week sign ?)
(71-73)....... (35.5-36.5) (3.5 week sign ?)
(77-80)....... (38.5-40) * (4. week sign ?)
(82-86)....... (41-43) * * (4. week sign ?)
(88-93)....... (44-46.5) * (4. week sign ?)
----------------------------------------
95
(98-102)
(104-106)
(108-118)
---------(end of fig 3A)----------------
So in this second possibility case I would also get
about same numer of lunar days per synodic month that
I got in my first possibility interpretation, namely
I would have now
38.5 - 46.5 lunar days per synodic month at Moodies Group
time (about 3225 (3220) Ma ago).
First interpretation of mine was in ref. 2 and 3.
(My last not confirmed and uncertain interpretation from figure 5A
(power spectrum of fig. 3A):
(9.833+13.11) / 2 = 11.47, two neap tides and two spring tides per
synodic month,
23.6, two spring tides per synodic month,
roughly measured from the figure 40.5, this is minimum number of mean
solar days per synodic month.

ONE CORRECTION:

40.5 could arise from spectrum aliasing effect so it could be wrong ?

If the sampling time interval is one day (diurnal tides) then some
frequencies
below 0.5 *(1 / day) (Nyquist critical frequency) could be caused by
aliasing
effect (Nyquist criterion).

If the sampling time interval is half day (semidiurnal tides) then
some frequencies
below 0.25*(1 / day) (Nyquist critical frequency) could be caused by
aliasing
effect (Nyquist criterion).

How situation could be changed if tides are mixture of diurnal and
semidiurnal tides ???

Reference:


Mazumder Rajat, 2001.
COMMENT
Eriksson,K.A., Simpson,E.L., 2001.
REPLY
Quantifying the oldest tidal record: The 3.2 Ga Moodies Group,
Barberton Greenstone
Belt, South Africa: Comment and Reply.
Geology, December 2001, pages 1159-1160.


So Mode = 11.47 – 23.6 – min(40.5))

References:
1.
Eriksson Kenneth A., Simpson Edward L. 2000.
Quantifying the oldest tidal record: The 3.2 Ga Moodies
Group, Barberton Greenstone Belt, South Africa.
Geology, vol. 28, no. 9, September 2000, p.831-834, 5 figures.
2.
Poropudas, H. K. J., 2004
Ancient time data from The Moodies Group (3220 Ma),
Barberton Greenstone Belt, South Africa
.com
Date: 29 Dec 2004 02:49:50 -0800
(Summary of all 6 articles of mine between dates:
10.12.2004-23.12.2004)
3.
Poropudas, H. K. J., 2005.
Ancient time data from The Moodies Group (3220 Ma),
Barberton Greenstone Belt, South Africa
.com
Date: 8 Jan 2005 07:03:42 -0800
4. Poropudas, H. K. J., 2007.
About Tides at Moodies Group Time (about 3220 Ma ago) and some toy
models
(repost from 2005).
. com,
Date: 12 Aug 2007 01:51_29 -0700.

Comments please !!!
Best Regards,
Hannu Poropudas
Vesaisentie 9E,
90900 Kiiminki
Finland
Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Sat, 13 Dec 2008 01:46:49 -0800 (PST)
Local: Sat, Dec 13 2008 11:46 am
Subject: Some Linear Extrapolations of Pannella’s Fossil Time Data for
Test Purposes
Some Linear Extrapolations of Pannella’s Fossil Time Data for Test
Purposes
(Author: Hannu K.J. Poropudas, Vesaisentie 9E, 90900 Kiiminki,
Finland, Date: 12.12.2008)
Three rough data set (TABLE 1, days/month, TABLE 2, days/year and
TABLE 3, months/year)
are given in this paper for test purposes of ancient fossil time
data.
Numbers are based
on Giorgio Pannella’s (1972) fossil time data. Interpretations are my
own.
These linear extrapolations are based also on uncertain assumption of
existence of
oscillation about 429.4 Ma in Pannella’s Figure 3 (days/month). Many
ages and fossil
points are still uncertain. Main intended area of use of these
figures
is about 0-2000 Ma.
Tables of fossil time data
TABLE 1
-T/10^4 Days/Month
centuries
----------------------------
0 * * * * * * * 29,16
18,6 * * * * * *29,4
31,4 * * * * * *29,69
45,4 * * * * * *29,83
58,1 * * * * * *30,05
74,4 * * * * * *29,95
206,9 * 29,67
291,9 * 30,09
342,2 * 30,36
380,3 * 30,57
416,7 * 30,55
429,4 * 30,98
448 * * * * * * 31,22
460,8 * 31,51
467,6 * 31,24
474,8 * 31,65
487,5 * 31,87
503,8 * 31,77
639 * * * * * * 31,49
721,3 * 31,91
771,6 * 32,18
809,7 * 32,39
846,1 * 32,37
858,8 * 32,81
877,4 * 33,05
890,2 * 33,34
897 * * * * * * 33,06
904,2 * 33,48
916,9 * 33,7
933,2 * 33,6
1068,4 *33,32
1150,7 *33,74
1201 * * * * * *34,01
1239,1 *34,22
1275,5 *34,2
1288,2 *34,63
1306,8 *34,87
1319,6 *35,16
1326,4 *34,89
1333,6 *35,3
1346,3 *35,52
1362,6 *35,42
1497,8 *35,14
1580,1 *35,56
1630,4 *35,83
1668,5 *36,04
1704,9 *36,02
1717,6 *36,46
1736,2 *36,7
1749 * * * * * *36,99
1755,8 *36,71
1763 * * * * * *37,13
1775,7 *37,35
1792 * * * * * *37,25
1927,2 *36,97
2009,5 *37,39
-----------------------
2059,8 *37,66
2097,9 *37,87
2134,3 *37,85
2147 * * * * * *38,28
2165,6 *38,52
2178,4 *38,81
2185,2 *38,54
2192,4 *38,95
2205,1 *39,17
2221,4 *39,07
2356,6 *38,79
2438,9 *39,21
2489,2 *39,48
2527,3 *39,69
2563,7 *39,67
2576,4 *40,11
2595 * * * * * *40,35
2607,8 *40,64
2614,6 *40,36
2621,8 *40,78
2634,5 *41
2650,8 *40,9
2786 * * * * * *40,62
2868,3 *41,04
2918,6 *41,31
2956,7 *41,52
2993,1 *41,5
3005,8 *41,93
3024,4 *42,17
3037,2 *42,46
3044 * * * * * *42,19
3051,2 *42,6
3063,9 *42,82
3080,2 *42,72
3215,4 *42,44
3297,7 *42,86
3348 * * * * * *43,13
3386,1 *43,34
3422,5 *43,32
3435,2 *43,76
3453,8 *44
3466,6 *44,29
3473,4 *44,01
3480,6 *44,43
3493,3 *44,65
3509,6 *44,55
3644,8 *44,27
3727,1 *44,69
3777,4 *44,96
3815,5 *45,17
-----------------------
3851,9 *45,15
3864,6 *45,58
3883,2 *45,82
3896 * * * * * *46,11
3902,8 *45,84
3910 * * * * * *46,25
3922,7 *46,47
3939 * * * * * *46,37
4074,2 *46,09
4156,5 *46,51
4206,8 *46,78
4244,9 *46,99
4281,3 *46,97
4294 * * * * * *47,41
4312,6 *47,65
4325,4 *47,94
4332,2 *47,66
4339,4 *48,08
4352,1 *48,3
4368,4 *48,2
4503,6 *47,92
-----------------------
(4585,9 48,34
4636,2 *48,61
4674,3 *48,82
4710,7 *48,8
4761,6 *49,49)
TABLE 2
-T/10^4 Days/Year
centuries
---------------------------
0 * * * * * * * 364,76
52,2 * * * * * *370,95
52,2 * * * * * *374,76
226,2 * 370,95
276,9 * 381,46
276,9 * 391,22
335,6 * 393,66
340,2 * 397,56
340,2 * 400,16
367,8 * 400,65
367,8 * 404,52
367,8 * 412,26
394,5 * 400,65
408,2 * 418,06
429,4 * 404,09
435,8 * 413,23
445 * * * * * * 424
481,6 * 410,28
481,6 * 414,09
558,1 * 431,76
655,6 * 410,28
706,3 * 420,79
706,3 * 430,55
765 * * * * * * 432,99
769,6 * 436,89
769,6 * 439,49
797,2 * 439,98
797,2 * 443,85
797,2 * 451,59
823,9 * 439,98
837,6 * 457,39
858,8 * 443,42
865,2 * 452,56
874,4 * 463,33
911 * * * * * * 449,61
911 * * * * * * 453,42
987,5 * 471,09
1085 * * * * * *449,61
1135,7 *460,12
1135,7 *469,88
1194,4 *472,32
1199 * * * * * *476,22
1199 * * * * * *478,82
1226,6 *479,31
1226,6 *483,18
1226,6 *490,92
1253,3 *479,31
1267 * * * * * *496,72
1288,2 *482,75
1294,6 *491,89
1303,8 *502,66
1340,4 *488,94
1340,4 *492,75
1416,9 *510,42
1514,4 *488,94
1565,1 *499,45
1565,1 *509,21
1623,8 *511,65
1628,4 *515,55
1628,4 *518,15
1656 * * * * * *518,64
1656 * * * * * *522,51
1656 * *530,25
1682,7 *518,64
1696,4 *536,05
1717,6 *522,08
1724 * * * * * *531,22
1733,2 *541,99
1769,8 *528,27
1769,8 *532,08
1846,3 *549,75
1943,8 *528,27
1994,5 *538,78
1994,5 *548,54
-------------------------
2053,2 *550,98
2057,8 *554,88
2057,8 *557,48
2085,4 *557,97
2085,4 *561,84
2085,4 *569,58
2112,1 *557,97
2125,8 *575,38
2147 * * * * * *561,41
2153,4 *570,55
2162,6 *581,32
2199,2 *567,6
2199,2 *571,41
2275,7 *589,08
2373,2 *567,6
2423,9 *578,11
2423,9 *587,87
2482,6 *590,31
2487,2 *594,21
2487,2 *596,81
2514,8 *597,3
2514,8 *601,17
2514,8 *608,91
2541,5 *597,3
2555,2 *614,71
2576,4 *600,75
2582,8 *609,88
2592 * * * * * *620,65
2628,6 *606,94
2628,6 *610,75
2705,1 *628,41
2802,6 *606,94
2853,3 *617,45
2853,3 *627,21
2912 * * * * * *629,65
2916,6 *633,55
2916,6 *636,15
2944,2 *636,64
2944,2 *640,51
2944,2 *648,25
2970,9 *636,64
2984,6 *654,05
3005,8 *640,08
3012,2 *649,22
3021,4 *659,99
3058 * * * * * *646,27
3058 * * * * * *650,08
3134,5 *667,75
3232 * * * * * *646,27
3282,7 *656,78
3282,7 *666,54
3341,4 *668,98
3346 * * * * * *672,88
3346 * * * * * *675,48
3373,6 *675,97
3373,6 *679,84
3373,6 *687,58
3400,3 *675,97
3414 * * * * * *693,38
3435,2 *679,41
3441,6 *688,55
3450,8 *699,32
3487,4 *685,6
3487,4 *689,41
3563,9 *707,08
3661,4 *685,6
3712,1 *696,11
3712,1 *705,87
3770,8 *708,31
3775,4 *712,21
3775,4 *714,81
3803 * * * * * *715,3
3803 * * * * * *719,17
3803 * * * * * *726,91
-------------------------
3829,7 *715,3
3843,4 *732,71
3864,6 *718,74
3871 * * * * * *727,88
3880,2 *738,65
3916,8 *724,93
3916,8 *728,74
3993,3 *746,41
4090,8 *724,93
4141,5 *735,44
4141,5 *745,2
4200,2 *747,64
4204,8 *751,54
4204,8 *754,14
4232,4 *754,63
4232,4 *758,5
4232,4 *766,24
4259,1 *754,63
4272,8 *772,04
4294 * * * * * *758,07
4300,4 *767,21
4309,6 *777,98
4346,2 *764,26
4346,2 *768,07
4422,7 *785,74
4520,2 *764,26
-------------------------
(4570,9 774,77
4570,9 *784,53
4629,6 *786,97
4634,2 *790,87
4634,2 *793,47
4661,8 *793,96
4661,8 *797,83
4661,8 *805,57
4688,5 *793,96
4702,2 *811,37
4723,4 *797,4
4729,8 *806,54
4739 * * * * * *817,31
4775,6 *803,59
4775,6 *807,4
4852,1 *825,07)
TABLE 3
-T/10^4 Months/Year
centuries (this OUM-DT2 based data gives maybe little too large
values???)
------------------------------
0 * * * * * * * 12,34
70 * * * * * * *12,49
70 * * * * * * *12,6
160,7 * 11,56
220 * * * * * * 12,55
290 * * * * * * 12,71
340 * * * * * * 13,11
360 * * * * * * 12,93
360 * * * * * * 13,35
429,4 * 12,95
499,4 * 13,1
499,4 * 13,21
510 * * * * * * 13
590,1 * 12,17
649,4 * 13,16
719,4 * 13,32
769,4 * 13,72
789,4 * 13,54
789,4 * 13,96
858,8 * 13,56
928,8 * 13,71
928,8 * 13,82
939,4 * 13,61
1019,5 *12,78
1078,8 *13,77
1148,8 *13,93
1198,8 *14,33
1218,8 *14,15
1218,8 *14,57
1288,2 *14,17
1358,2 *14,32
1358,2 *14,43
1368,8 *14,22
1448,9 *13,39
1508,2 *14,38
1578,2 *14,54
1628,2 *14,94
1648,2 *14,76
1648,2 *15,18
1717,6 *14,78
1787,6 *14,93
1787,6 *15,04
1798,2 *14,83
1878,3 *14
1937,6 *14,99
2007,6 *15,15
------------------------
2057,6 *15,55
2077,6 *15,37
2077,6 *15,79
2147 * * * * * *15,39
2217 * * * * * *15,54
2217 * * * * * *15,65
2227,6 *15,44
2307,7 *14,61
2367 * * * * * *15,6
2437 * * * * * *15,76
2487 * * * * * *16,16
2507 * * * * * *15,98
2507 * * * * * *16,4
2576,4 *16
2646,4 *16,15
2646,4 *16,26
2657 * * * * * *16,05
2737,1 *15,22
2796,4 *16,21
2866,4 *16,37
2916,4 *16,77
2936,4 *16,59
2936,4 *17,01
3005,8 *16,61
3075,8 *16,76
3075,8 *16,87
3086,4 *16,66
3166,5 *15,83
3225,8 *16,82
3295,8 *16,98
3345,8 *17,38
3365,8 *17,2
3365,8 *17,62
3435,2 *17,22
3505,2 *17,37
3505,2 *17,48
3515,8 *17,27
3595,9 *16,44
3655,2 *17,43
3725,2 *17,59
3775,2 *17,99
3795,2 *17,81
3795,2 *18,23
------------------------
3864,6 *17,83
3934,6 *17,98
3934,6 *18,09
3945,2 *17,88
4025,3 *17,05
4084,6 *18,04
4154,6 *18,2
4204,6 *18,6
4224,6 *18,42
4224,6 *18,84
4294 * * * * * *18,44
4364 * * * * * *18,59
4364 * * * * * *18,7
4374,6 *18,49
4454,7 *17,66
4514 * * * * * *18,65
-----------------------
(4584 * 18,81
4634 * * * * * *19,21
4654 * * * * * *19,03
4654 * * * * * *19,45
4723,4 *19,05
4793,4 *19,2
4793,4 *19,31
4804 * * * * * *19,1
4884,1 *18,27
4943,4 *19,26)
References:
Pannella Giorgio, 1972.
Paleontological Evidence on the Earth’s Rotational History Since
Early
Precambrian.
Astrophysics and Space Science, 16, (1972), 212-237.
(Figure 3 on page 235 and Figure 4 on page 236. Mean solar day,
Synodic Month, Tropical Year.
Exact age of sedimentation of the Gunflint Formation is 1878.3+-1.3
Ma, YPM-IP-28510/28511.)
Scrutton, C.T., (1964), 1965.
Periodicity in Devonian Coral Growth.
Paleontology, volume 7, part 4, pages 552-558, plates 86-87.
(Middle Devonian OUM DT2 fossil, age is 385.3 Ma – 397.5 Ma, GT2004,
approximate linear formula 12.37 – 1.43*10^(-7)*T, months/year,
T=centuries,
past time minus signed).
Scrutton, C.T., 1970.
Evidence for a monthly periodicity in the growth of some corals.
In:
Runcorn, S.K. (editor), 1970.
Paleogeophysics. *Academic Press, London, pages 11-16.
Fralick, P., Davis, D.W., Kissin, S.A., 2002.
The age of the Gunflint Formation, Ontario, Canada: single zircon U-
Pb
age determinations
from reworked volcanic ash.
Can. J. Earth Sci., 39, 1085-1091.
(Message-ID: 533c8763-511e-4ec6-
)

Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Sun, 18 Jan 2009 22:03:51 -0800 (PST)
Local: Mon, Jan 19 2009 8:03 am
Subject: Some Linear Extrapolations of Pannella’s Fossil Time Data
for Test Purposes
It may be interesting also to investigate how this linear
extrapolated
Pannella's
fossil time data fits to ages of known Super Continents or Large
Continental
Assemblies?
Table 1. Terminology of supercontinents and other large continental
assemblies:
Arctica about 2500 Ma,
Atlantica about 2000 Ma,
Columbia about 1800 - 1500 Ma,
Gondwana about 600 - 500 Ma,
Kenorland about 2500 Ma,
Laurasia about 250 Ma,
Mawson continent about 1700 Ma,
Nena about 1800 Ma,
Palaeopangea about 1100 - 1000 Ma,
Pangea about 250 Ma,
Rodnia about 1100 - (800 - 700) Ma,
Ur about 3000 Ma.
Reference:
Rogers, J.J.W, and Santosh, M., 2003.
Supercontinents in Earth History.
Gondwana Research, V.6, No. 3, pp. 357-368.
(Table 1 on page 358, and "breakup of Rodnia occurred at about
800-700
Ma" on page 364.)
Best Regards,
Hannu Poropudas
(Message-ID: 439bf779-9024-4849-aa0a-
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(References: 533c8763-511e-4ec6-
)

Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Tue, 13 Jan 2009 21:52:20 -0800 (PST)
Local: Wed, Jan 14 2009 7:52 am
Subject: Testing some ancient time data points with extrapolated
Pannella's fossil time data

Testing some ancient time data points with extrapolated Pannella's
fossil time data
---------------------------------------------------------------------------
¬---------------------------------------------
(Author: H.K.J. Poropudas, Vesaisentie 9E, 90900 Kiiminki, Finland.
Date: 13.1.2009)
Below are few rough estimations of ancient time data. It should be
remembered that
these linear extrapolations are based on my uncertain assumption of
existence of
oscillation of period 429.4 Ma in Pannella's figure 3 (reference 2)
and ages
and data of fossils and stromatolites are in many cases uncertain
too.
The Elatina Formation and Reynella Siltstone
-----------------------------------------------------------------
620 Ma:
-----------
655.6 Ma, 410.28 days/year
(Drawn extrapolated figures give roughly approx. 412 days/year)
639 Ma, 31.49 days/year
(Drawn extrapolated figures give roughly approx. 31.7 days/month)
410.28/31.49 = 13.03 months/year, (primary value = 13.1 +-0.1 months/
year)
649.4 Ma, 13.16 months/year (OUM-DT2 based)
(primary value = 13.1 +-0.1 months/year)
(Drawn extrapolated figures give 412/31.7 = 13.0 months/year)
(13.0-13.2 months/year)
The Big Cottonwood Formation
--------------------------------------------
900 Ma:
-----------
890.2 Ma, 33.34 days/month
897 Ma, 33.06 days/month
904.2 Ma, 33.48 days/month
(33-33.5 days/month, average = 33.29 days/month)
(Drawn extrapolated figure gives roughly approx. 33.4 days/month)
874.4 Ma, 463.33 days/year
911 Ma, 449.61 days/year
911 Ma, 453.42 days/year
(450-463 days/year, average = 455.45 days/year)
(Drawn extrapolated figure gives roughly approx. 451 days/year)
455.45/33.29 = 13.68 months/year, (primary value 13.5 months/year)
(Drawn extrapolated figures give 451/33.4 = 13.5 months/year)
928.8 Ma, 13.71 months/year (OUM-DT2 based)
928.8 Ma, 13.82 months/year (OUM-DT2 based)
(13.7-13.8 months/year, primary value 13.5 months/year)
(13.5-13.8 months/year)
The Weeli Wolli Formation
--------------------------------------
2450 Ma:
-------------
2438.9 Ma, 39.21 days/month
(Drawn extrapolated figure gives roughly approx. 39.2 days/month)
2423.9 Ma, 587.87 days/year
2423.9 Ma, 578.11 days/year
(578-588 days/year, average = 582.99 days/year)
(Drawn extrapolated figure gives roughly approx. 585 days/year)
582.99/39.21 = 14.87 months/year, (primary value = 14.5 +-0.5 months/
year)
(Drawn extrapolated figures give 585/39.2 = 14.9 months/year)
2437 Ma, 15.76 months/year (OUM-DT2 based)
(primary value = 14.5 +-0.5 months/year)
(14.9-15.8 months/year)
Reference (1).
The Gunflint Formation
------------------
1878.3 +-1.3 Ma:
------------------------
1927.2 Ma, 36.97 days/month
(Drawn extrapolated figure gives roughly approx. 37.2 days/month)
1846.3 Ma, 549.75 days/year
(Drawn extrapolated figure gives roughly approx. 533 days/year)
549.75/36.97 = 14.87 months/year (primary value = 14 months/year)
(Drawn extrapolated figures give 533/37.2 = 14.3 months/year)
1937.6 Ma, 14.99 monnths/year (OUM-DT2 based)
(14.3-15.0 months/year)
Age of the Bulawayan stromatolite UCLA-Bul-7 ?
----------------------------------------------------------------------
Mode = 10-20-40, Highest Count = 41.
2576.6.4 Ma, 40.11 days/month
2595 Ma, 40.35 days/month
2607.8 Ma, 40.64 days/month
2614.6 Ma, 40.34 days/month
2621.8 Ma, 40.78 days/month
2634.5 Ma, 41 days/month
2650.8 Ma, 40.9 days/month
2786 Ma, 40.62 days/month
2868.3 Ma, 41.04 days/month
So age of the Bulawayan Stromatolite UCLA-Bul-7 could be:
2580 Ma - 2870 Ma.
(primary value of the age =
(2672 +- 12 Ma - 2715 +- 15 Ma), Upper Bulawayan Group or
(2831 +- 6 Ma - 2904 +- 9 Ma), Lower Bulawayan Group. These both
are not local age determinations from the Bubi Greenstone Belt near
Huntsman Quarries, Zimbabwe.)
Other Time Data for UCLA-Bul-7 stromatolite:
-----------------------------------------------------------------
(40-41 days/month, primary value)
(average = 40.5 days/month, primary value)
2576.4 Ma, 600.75 days/year
2582.8 Ma, 609.88 days/year
2592 Ma, 620.65 days/year
2628.6 Ma, 606.94 days/year
2628.6 Ma, 610.75 days/year
2705.1 Ma, 628.41 days/year
2802.6 Ma, 606.94 days/year
2853.3 Ma, 617.45 days/year
2853.3 Ma, 627.21 days/year
2912 Ma, 629.65 days/year
2916.6 Ma, 633.55 days/year
2916.6 Ma, 636.15 days/year
(average = 7428.33/12 = 619.03 = approx. 619 days/year)
(601-636 days/year)
619/40.5 = 15.3 months/year
OUM-DT2 based estimation:
2576.4 Ma, 16 months/year
2646.4 Ma, 16.15 months/year
2646.4 Ma, 16.26 months/year
2657 Ma, 16.05 months/year
2737.1 Ma, 15.22 months/year
2796.4 Ma, 16.21 months/year
2866.4 Ma, 16.37 months/year
2916.4 Ma, 16.77 months/year
(average = 129.03/8 = 16.13 = approx. 16.1 months/year)
(15.2 - 16.8 months/year)
References (2 and 3).
The Moodies Group
----------------------------
3225 Ma:
-------------
3215.4 Ma, 42.44 days/month
(Drawn extrapolated figure roughly gives approx. 42.8 days/month)
3232 Ma, 646.27 days/year
(Drawn extrapolated figure roughly gives approx. 650 days/year)
646.27/42.44 = 15.23 months/year
(Drawn extrapolated figures give 650/42.8 = 15.2 months/year)
3225.8 Ma, 16.82 months/year (OUM-DT2 based)
(15.2-16.8 months/year)
Reference (4).
REFERENCES:
1. Williams, G.E. 2000.
Reviews of Geophysics, 38, 1/February 2000, pages 37-59.
2. Pannella, G., 1972.
Astrophysics and Space Science, 16, (1972), 212-237.
3. Fralick,P., Davis,D.W., Kissin,S.A., 2002.
Can. J. Earth Sci., 39, 1085-1091.
4. Eriksson,K.A., Simpson,E.L., Mueller,W., 2006.
Sedimentary Geology 190 (2006), 13-24.
5. Poropudas Hannu, 2009.
Some Linear Extrapolations of Pannella's Fossil Time Data for Test
Purposes.

sci.bio.paleontology, sci.astro, sci.geo.geology, sci.physics,
sci.math.
Sat, 13 Dec 2008, 10 pages.
(I have drawn four extrapolated figures (0-1200 Ma, days/year, 0-4600
Ma, days/year,
0-1200 Ma days/month, 0-4600 Ma, days/month) but unfortunately they
are not possible
to give here due this text is in ASCII-format. I could send them via
email by request.
My email address:
hanporop
(at)
luukku.com )

(Message-ID:
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Newsgroups: sci.bio.paleontology, sci.astro, sci.geo.geology,
sci.physics, sci.math
From: mathematician
Date: Tue, 20 Jan 2009 22:19:37 -0800 (PST)
Local: Wed, Jan 21 2009 8:19 am
Subject: Testing some ancient time data points with extrapolated
Pannella's fossil time data
Earth's Rotational History from Linear
Extarpolation of Pannella's Ancient Time
Data of Fossils
----------------------------------------
(Author: Hannu K.J. Poropudas, Vesaisentie 9E,
90900 Kiiminki, Finland, Date: 13.1.2009)
Assumption: Distance between the Earth
and the Sun has not changed significantly
during Earth's life time (about 4550 Ma).
Main intended area of use of these figures
which are calculated from TABLE 2 is roughly
about 0-2000 Ma.
TABLE 4
-T/10^4 Hours/Day
centuries
-----------------
0 * * * 24,03
52,2 * *23,63
52,2 * *23,39
226,2 * 23,63
276,9 * 22,98
276,9 * 22,41
335,6 * 22,27
340,2 * 22,05
340,2 * 21,91
367,8 * 21,88
367,8 * 21,67
367,8 * 21,26
394,5 * 21,88
408,2 * 20,97
429,4 * 21,69
435,8 * 21,21
445 * * 20,67
481,6 * 21,37
481,6 * 21,17
558,1 * 20,3
655,6 * 21,37
706,3 * 20,83
706,3 * 20,36
765 * * 20,24
769,6 * 20,06
769,6 * 19,95
797,2 * 19,92
797,2 * 19,75
797,2 * 19,41
823,9 * 19,92
837,6 * 19,16
858,8 * 19,77
865,2 * 19,37
874,4 * 18,92
911 * * 19,5
911 * * 19,33
987,5 * 18,61
1085 * *19,5
1135,7 *19,05
1135,7 *18,66
1194,4 *18,56
1199 * *18,41
1199 * *18,31
1226,6 *18,29
1226,6 *18,14
1226,6 *17,86
1253,3 *18,29
1267 * *17,65
1288,2 *18,16
1294,6 *17,82
1303,8 *17,44
1340,4 *17,93
1340,4 *17,79
1416,9 *17,17
1514,4 *17,93
1565,1 *17,55
1565,1 *17,21
1623,8 *17,13
1628,4 *17
1628,4 *16,92
1656 * *16,9
1656 * *16,78
1656 * *16,53
1682,7 *16,9
1696,4 *16,35
1717,6 *16,79
1724 * *16,5
1733,2 *16,17
1769,8 *16,59
1769,8 *16,47
1846,3 *15,95
1943,8 *16,59
1994,5 *16,27
1994,5 *15,98
-------------
2053,2 *15,91
2057,8 *15,8
2057,8 *15,72
2085,4 *15,71
2085,4 *15,6
2085,4 *15,39
2112,1 *15,71
2125,8 *15,23
2147 * *15,61
2153,4 *15,36
2162,6 *15,08
2199,2 *15,44
2199,2 *15,34
2275,7 *14,88
2373,2 *15,44
2423,9 *15,16
2423,9 *14,91
2482,6 *14,85
2487,2 *14,75
2487,2 *14,69
2514,8 *14,68
2514,8 *14,58
2514,8 *14,4
2541,5 *14,68
2555,2 *14,26
2576,4 *14,59
2582,8 *14,37
2592 * *14,12
2628,6 *14,44
2628,6 *14,35
2705,1 *13,95
2802,6 *14,44
2853,3 *14,2
2853,3 *13,98
2912 * *13,92
2916,6 *13,84
2916,6 *13,78
2944,2 *13,77
2944,2 *13,69
2944,2 *13,52
2970,9 *13,77
2984,6 *13,4
3005,8 *13,69
3012,2 *13,5
3021,4 *13,28
3058 * *13,56
3058 * *13,48
3134,5 *13,13
3232 * *13,56
3282,7 *13,35
3282,7 *13,15
3341,4 *13,1
3346 * *13,03
3346 * *12,98
3373,6 *12,97
3373,6 *12,89
3373,6 *12,75
3400,3 *12,97
3414 * *12,64
3435,2 *12,9
3441,6 *12,73
3450,8 *12,53
3487,4 *12,79
3487,4 *12,71
3563,9 *12,4
3661,4 *12,79
3712,1 *12,59
3712,1 *12,42
3770,8 *12,38
3775,4 *12,31
3775,4 *12,26
3803 * *12,25
3803 * *12,19
3803 * *12,06
-------------
3829,7 *12,25
3843,4 *11,96
3864,6 *12,2
3871 * *12,04
3880,2 *11,87
3916,8 *12,09
3916,8 *12,03
3993,3 *11,74
4090,8 *12,09
4141,5 *11,92
4141,5 *11,76
4200,2 *11,72
4204,8 *11,66
4204,8 *11,62
4232,4 *11,62
4232,4 *11,56
4232,4 *11,44
4259,1 *11,62
4272,8 *11,35
4294 * *11,56
4300,4 *11,43
4309,6 *11,27
4346,2 *11,47
4346,2 *11,41
4422,7 *11,16
4520,2 *11,47
-------------
(4570,9 11,31
4570,9 *11,17
4629,6 *11,14
4634,2 *11,08
4634,2 *11,05
4661,8 *11,04
4661,8 *10,99
4661,8 *10,88
4688,5 *11,04
4702,2 *10,8
4723,4 *10,99
4729,8 *10,87
4739 * *10,73
4775,6 *10,91
4775,6 *10,86
4852,1 *10,62
4949,6 *10,91)
Reference:
Poropudas, Hannu, 2009.
Some Linear Extrapolations of Pannella’s
Fossil Time Data for Test Purposes.
533c8763-511e-4ec6-a69e-8f3f1e5d1591
(at)
z6g2000pre.googlegroups.com
Sat, 13 Dec 2008 01:46:49 -0800 (PST).
10 pages.
(sci.bio.paleontology,sci.astro,sci.geo.geology,
sci.physics,sci.math)
(mathematician haporopu
(at)
luukku.com)

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