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Boris L. Berry (Berri)
E-mail address:
bberri@sympatico.ca
Discrete
Natural Periods of the Solar System
Steady discrete oscillations
with periods of up to at least until 2Ma, including earth orbital
alterations that change fluxes of energy to the earth surface, have
formed inside the solar system. Orbital movements of planets stabilize
rhythms of sun activity and moon-sun tidal waves create in the shells of
the Earth the system of geophysical processes. The tidal influences of
Mercury, Venus, the Earth, and Jupiter and also the movements of the Sun
about the center of gravity of the system (barycenter) during
displacements of large outer planets (Jupiter, Saturn, Uranus and
Neptune), different conjunctions of planets form the common cycles of
the Sun and solar system, which can be found by investigating of
periodical components of solar and terrestrial processes.
The geological boundaries of
the megacycles associate with the periods of revolution of the solar
system about the centre of the Galaxy. Our Galaxy has four
electromagnetic spiral branches of the logarithmic type and two jet
streams of matter emerging from its gas-dust nuclear disk twisted into
Archimedean spirals. About 103 galactic comets fall onto the
Earth in the period of stay of the Sun in such a stream. The main
geological events of the last 700 Ma B.P. such as, for example, the
epochs of orogeny and riftogeny, periods of sharp climatic changes
correspond to the moments of entry of the solar system into the streams
of the galactic matter (Berry, 1992).
Long evolution of the Sun
system lead to the resonance and commensurabilities in periods of planet
and satellite revolutions with accuracy of about 10-3 (ratio
the mass of planets to the mass of the Sun). That determines the
precision of following calculation. The periods of resonance system can
be approximately expressed by the geometrical progression, which is
similar to the geometrical progression for accounting frequencies
(periods) of discrete musical instruments.
The geometrical progression
(TK) best statistically describes the discrete
spectrum of the natural oscillation periods of the solar system:
TK = T0
2K / n = 0.0748 2 K /n y
where TK are periods of oscillation of the Sun
system; T0 = 27.32days = 0.0748 year is the
sidereal period of the moon revolution; K is the sequence of
whole numbers, the number of a period TK; N = 16 is
the amount of harmonics (notes) in an octave. Analyzing periods are
changing from 0.5d to 167y and composing the range in 18 octaves (Berry,
1998). The discovered regularity exists with
probability 99% .The equation is very convenient to classify
terrestrial, solar, and other cycles.
Berry, B.L. 1992. Basic systems of
geospheric - biospheric cycles and the prediction of natural conditions.
Biophysics, Vol.37, N3, 414-428, (in Russian), Pergamon Press Ltd.
Printed in Great Britain, 1993, 328-341 (in English).
Berry, B.L., 1998. Regularities of natural cycles,
prediction of climate and surface conditions. Hydrol. Process. 12,
2267-2278.
|
Notes |
Octave # -7 |
Octave # -8 |
Octave # -9 |
|
N |
K |
TK, hours |
K |
TK, hours |
K |
TK, hours |
TK, min. |
|
1 |
-112 |
5,1225 |
-128 |
2,561 |
-144 |
1,28062 |
76,84 |
|
2 |
-111 |
5,34929 |
-127 |
2,6746 |
-143 |
1,33732 |
80,24 |
|
3 |
-110 |
5,58613 |
-126 |
2,7930 |
-142 |
1,39653 |
83,79 |
|
4 |
-109 |
5,83344 |
-125 |
2,91672 |
-141 |
1,45836 |
87,5 |
|
5 |
-108 |
6,09171 |
-124 |
3,04585 |
-140 |
1,52293 |
91,38 |
|
6 |
-107 |
6,36142 |
-123 |
3,18070 |
-139 |
1,59035 |
95,42 |
|
7 |
-106 |
6,64306 |
-122 |
3,32153 |
-138 |
1,66076 |
99,65 |
|
8 |
-105 |
6,93717 |
-121 |
3,46859 |
-137 |
1,73429 |
104,1 |
|
9 |
-104 |
7,24431 |
-120 |
3,62215 |
-136 |
1,81108 |
108,7 |
|
10 |
-103 |
7,56504 |
-119 |
3,78252 |
-135 |
1,89126 |
113,5 |
|
11 |
-102 |
7,89997 |
-118 |
3,94999 |
-134 |
1,97499 |
118,5 |
|
12 |
-101 |
8,24974 |
-117 |
4,12487 |
-133 |
2,06243 |
123,7 |
|
13 |
-100 |
8,61498 |
-116 |
4,30749 |
-132 |
2,15375 |
129,2 |
|
14 |
-99 |
8,9964 |
-115 |
4,49820 |
-131 |
2,24910 |
134,9 |
|
15 |
-98 |
9,39471 |
-114 |
4,69735 |
-130 |
2,34868 |
140,9 |
|
16 |
-97 |
9,81065 |
-113 |
4,90532 |
-129 |
2,45266 |
147,2 |
|
Notes |
Octave # -4 |
Octave # -5 |
Octave # -6 |
|
N |
K |
TK, days |
K |
TK, days |
K |
TK, days |
TK, hours |
|
1 |
-64 |
1,7075 |
-80 |
0,85375 |
-96 |
0,42688 |
10,245 |
|
2 |
-63 |
1,7831 |
-79 |
0,89155 |
-95 |
0,44577 |
10,6986 |
|
3 |
-62 |
1,86204 |
-78 |
0,93102 |
-94 |
0,46551 |
11,1723 |
|
4 |
-61 |
1,94448 |
-77 |
0,97224 |
-93 |
0,48612 |
11,6669 |
|
5 |
-60 |
2,03057 |
-76 |
1,01529 |
-92 |
0,50764 |
12,1834 |
|
6 |
-59 |
2,12047 |
-75 |
1,06024 |
-91 |
0,53012 |
12,7228 |
|
7 |
-58 |
2,21435 |
-74 |
1,10718 |
-90 |
0,55359 |
13,2861 |
|
8 |
-57 |
2,31239 |
-73 |
1,1562 |
-89 |
0,5781 |
13,8743 |
|
9 |
-56 |
2,41477 |
-72 |
1,20738 |
-88 |
0,60369 |
14,4886 |
|
10 |
-55 |
2,52168 |
-71 |
1,26084 |
-87 |
0,63042 |
15,1301 |
|
11 |
-54 |
2,63332 |
-70 |
1,31666 |
-86 |
0,65833 |
15,7999 |
|
12 |
-53 |
2,74991 |
-69 |
1,37496 |
-85 |
0,68748 |
16,4995 |
|
13 |
-52 |
2,87166 |
-68 |
1,43583 |
-84 |
0,71792 |
17,23 |
|
14 |
-51 |
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