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PRELIMINARY DEMONSTRATION EXAMPLE THE MOVEMENTS OF VENUS SYNCHRONIZED WITH THE MOVEMENTS OF THE EARTH/MOON SYSTEM, AS DEMONSTRATED BY THE “OCTANTS RULE”.
(A). The Earth Year (ie:- Earth’s orbital period) = 365.256 Earth days.
Venus’ rotation period = 243.0187 Earth days. (To verify data, see below.)
During one Earth year, Venus rotates (365.256 ÷ 243.0187) = 1.503 rotations, ie:- 1 complete rotation plus a RESIDUAL ANGLE of (0.503 x 360) = 181.1 degrees.
(B). The Earth Year (ie:- Earth’s orbital period) = 365.256 Earth days.
Venus’ orbital (ie:- revolution) period = 224.695 Earth days. (To verify data, see below.)
During one Earth Year, Venus revolves (365.256 ÷ 224.695) = 1.6256 revolutions, ie:- 1 complete revolution plus a RESIDUAL ANGLE of (0.6256 x 360) = 225.2 degrees.
(C). The Lunar Node is the point where The Moon’s orbit passes through Earth’s orbital plane. This point is not stationary, but revolves very slowly round The Earth.
The Lunar Node revolution Period (ie:- revolution of nodes) is listed as 6793.39 Earth days.
Venus’ orbital (ie:- revolution) period = 224.695 Earth days. (To verify data, see below.)
During one Lunar Node Revolution Period, Venus revolves (6793.39 ÷ 224.695) = 30.2338 revolutions, ie:- 30 complete revolutions plus a RESIDUAL ANGLE of (0.2338 x 360) = 84.2 degrees.
(D). The Moon's two apsides are the farthest point, apogee, and the nearest point, perigee, of its orbit around the host Earth, in The Moon’s elliptical orbit round The Earth. The line connecting apogee and perigee is not stationery, but revolves very slowly.
The revolution Period of The Lunar Apsides is listed as 3232.6 Earth days.
Venus’ orbital (ie:- revolution) period = 224.695 Earth days. (To verify data, see below.)
During one revolution of The Lunar Apsides, Venus revolves (3232.6 ÷ 224.695) = 14.3866 revolutions, ie:- 14 complete revolutions plus a RESIDUAL ANGLE of (0.3866 x 360) = 139.2 degrees.
(E). Venus’ orbital (ie:- revolution) period = 224.695 Earth days.
Venus’ rotation period = 243.0187 Earth days
Earth’s rotation period = 0.9972697 Earth days. (To verify data, see below.)
The SUM of the orbital and rotation periods of Venus = (224.695 + 243.0187) = 467.7137 Earth days.
During this time period, Earth rotates (467.7137 ÷ 0.9972697) = 468.994 rotations, ie:- 468 complete rotations plus a RESIDUAL ANGLE of (0.994 x 360) = 357.8 degrees.
(F). Venus’ orbital (ie:- revolution) period = 224.695 Earth days.
Venus’ rotation period = 243.0187 Earth days.
The Moon’s orbital (ie:- revolution) period = 27.32166 Earth days. (To verify data, see below.)
The SUM of the orbital and rotation periods of Venus = (224.695 + 243.0187) = 467.7137 Earth days.
During this time period, The Moon revolves (467.7137 ÷ 27.32166) = 17.1188 revolutions, ie:- 17 complete revolutions plus a RESIDUAL ANGLE of (0.1188 x 360) = 42.76 degrees.
(G). The Earth Year (ie:- Earth’s orbital period – ie:- revolution period) = 365.256 Earth days.
The Moon’s orbital (ie:- revolution) period = 27.32166 Earth days.
Venus’ orbital (ie:- revolution) period = 224.695 Earth days. (To verify data, see below.)
The SUM of the orbital periods of The Earth and The Moon = (365.256 + 27.32166) = 392.578 Earth days.
During this time period, Venus revolves (392.578 224.695) = 1.747 revolutions, ie:- 1 complete revolution plus a RESIDUAL ANGLE of (0.747 x 360) = 268.98 degrees.
(H). The Earth Year (ie:- Earth’s orbital period – ie:- revolution period) = 365.256 Earth days.
The Moon’s orbital (ie:- revolution) period = 27.32166 Earth days.
Earth’s orbital period exceeds The Moon’s orbital period by (365.256 minus 27.32166) = 337.934 Earth days.
Venus’ rotation period = 243.0187 Earth days. (To verify data, see below.)
During the time period of 337.934 Earth days, Venus rotates (337.934 ÷ 243.0187) = 1.3906 rotations, ie:- 1 complete rotation plus a RESIDUAL ANGLE of (0.3906 x 360) = 140.6 degrees.
(I). The Lunar Evection Period 31.807 Earth days. (This is a period of inequality in The Moon’s motion.)
Venus’ rotation period = 243.0187 Earth days.
(To verify data, see below.)
During One Lunar Evection Period, Venus rotates (31.807 ÷ 243.0187) x 360 = an angle (ie:- a RESIDUAL ANGLE) of 47.1 degrees.
(J). The Chandler Wobble is a period of 428 Earth days. It is a wobble of The Earth’s poles.
Venus’ rotation period = 243.0187 Earth days.
(To verify data, see below.)
During One Chandler Wobble Period, Venus rotates (428 ÷ 243.0187) = 1.76118 rotations, ie:- 1 complete rotation plus a RESIDUAL ANGLE of (0.76118 x 360) = 274.0 degrees.
(K). The Moon’s orbital plane wobbles (or oscillates) with a period of 173 Earth days.
Venus’ orbital (ie:- revolution) period = 224.695 Earth days.
(To verify data, see below.)
During One Moon Orbital Plane Wobble, Venus revolves (173 ÷ 224.695) x 360 = an angle (ie:- a RESIDUAL ANGLE) of 277.2 degrees.
We now have eleven RESIDUAL ANGLES.
(A). 181.1 degrees.
(B). 225.2 degrees.
(C). 84.2 degrees.
(D). 139.2 degrees.
(E). 357.8 degrees.
(F). 42.76 degrees.
(G). 268.98 degrees.
(H). 140.6 degrees.
(I). 47.1 degrees.
(J). 274.0 degrees.
(K). 277.2 degrees.
Now let’s see these eleven angles displayed in the graphical format as described above.
The following graphic shows how these eleven angles OUGHT to look.
The material on this web site is also available in the book Astronomy - The Dishonest Science, by Roger Elliott (available on Amazon
The material on this web site is also available in the book Astronomy - The Dishonest Science, by Roger Elliott (available on Amazon
Now the next graphic shows how these angles ACTUALLY look:-
Looking at the above graphic, it is glaringly, blindingly obvious that these eight angles all “hug” the octants. This OCTANTS RULE is a general rule in The Solar System. Planets and satellites in The Solar System have a strong tendency to be synchronized with one another, and, in particular, with The Earth Day, and with the Earth Year. This can easily be seen by calculating the angles revolved or rotated by planets or satellites during the Earth year, or during The Earth day – or by calculating the angles rotated or revolved by Earth during the orbital or rotation periods of various planets or satellites. I can provide in excess of thirty graphics similar to the above graphic, all with the RESIDUAL ANGLES “hugging” THE OCTANTS.
If you would like to verify the numerical data in the above paper, I provide scans from the original data sources below.
SOLAR SYSTEM NUMERICAL DATA VERIFICATION.
To verify the orbital and rotation periods of Venus, the orbital and rotation periods of The Earth, and the orbital period of The Moon, here is a scan from The Planetary Scientist’s Companion, by Lodders and Fegley, Published Oxford University Press, 1998, Table 2.4)
The Moon’s Nodal Period, and The Revolution Period of The Lunar Apsides.
The Lunar Node is the point where The Moon (in its slightly inclined orbit round Earth) crosses Earth’s orbital plane. The Lunar Node is not stationary, but revolves slowly round The Earth with a period of 6793.39 Earth days.
The Lunar Nodal sidereal revolution period = 6793.39 ED.
The Lunar Perigee is the point of closest approach of The Moon to Earth in The Moon’s elliptical orbit round The Earth. The Lunar Apogee is the point of farthest distance of The Moon from The Earth. The (imaginary) line that joins Perigee and Apogee is The Apsides.
The Lunar Apsides revolves with a period of 3232.6 Earth days.
To verify these two periods, here is a scan from the book Movement and Rhythms of The Stars, by Joachim Schultz, published by Floris Books, Edinburgh, 1986, Appendix, Table 3.3, page 219, showing this data.
The Lunar Evection Period:- Here is a scan from Collins Dictionary of Astronomy, by Daintith and Gould, published by Collins, 2006 – entry Evection.
The Chandler Wobble:- Here is a scan from Collins Dictionary of Astronomy, by Daintith and Gould, published by Collins, 2006 – entry Chandler Wobble.
The Moon’s Orbital Plane Wobble. Here is a scan from Here is a scan from the book Astrophysical Quantities, by C.W. Allen . (Emeritus Professor of Astronomy at London University), published by The Athlone Press (University of London), 1973, page 147.
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