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About Tides at Moodies Group Time (about 3225 Ma ago) and sometoy models
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 |
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About Tides at Moodies Group Time (about 3225 Ma ago) and sometoy models
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 Path: g2news1.google.com!postnews.google.com! c13g2000cwb.googlegroups.com!not-for-mail 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 Organization:http://groups.google.com Lines: 246 Message-ID: .com NNTP-Posting-Host: 130.231.140.130 Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" X-Trace: posting.google.com 1105355645 30686 127.0.0.1 (10 Jan 2005 11:14:05 GMT) X-Complaints-To: NNTP-Posting-Date: Mon, 10 Jan 2005 11:14:05 +0000 (UTC) User-Agent: G2/0.2 Complaints-To: Injection-Info: c13g2000cwb.googlegroups.com; posting- host=130.231.140.130; * *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- ) (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: ) |
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