example-thirty

EXAMPLE 30. THE EARTH SYSTEM SYNCHRONIZED WITH THE MARS SYSTEM.

The Earth System is Earth and The Moon. The Earth Year (ie:- Earth’s orbital period) = 365.25636 Earth days. Earth’s sidereal rotation period (ie:- rotation in relation to the fixed stars) = 0.997269663 Earth days. The Moon orbital period (which is exactly the same as its rotation period, due to “tidal locking”) = 27.321661 Earth days. The Mars System is Mars and its two small satellites – Phobos and Deimos. Mars’ orbital period = 686.980 Earth days, and its rotation period = 1.025957 Earth days. Phobos orbital period (which is also equal to its rotation period) = 0.31891023 Earth days. Deimos orbital period (which is also equal to its rotation period) = 1.2624407 Earth days.

(A). During TWO Earth Years, the number of revolutions of Phobos exceeds the number of revolutions of Deimos by 1712.0020 revolutions, ie:- 1712 revolutions + a residual angle of 0.7 degrees.

(B). During TWO Earth Years, the number of rotations of Phobos exceeds the number of rotations of Mars by 1578.6226 rotations, ie:- 1578 rotations + a residual angle of 224.1 degrees.

(C). During One Earth Year, Mars rotates 356 rotations + a residual angle of 5.5 degrees.

(D). During FOUR Earth Years, Mars revolves 2 revolutions + a residual angle of 45.6 degrees.

(E). During TWO Earth Years, the number of rotations of Mars exceeds the number of rotations of Deimos by 133.3794 rotations, ie:- 133 rotations + a residual angle of 136.6 degrees.

(F). During FOUR Earth days, the number of revolutions of Phobos exceeds the number of revolutions of Deimos by 9.37425 revolutions, ie:- 9 revolutions + a residual angle of 134.7 degrees.

(G). During TWO Earth days, the number of rotations of Mars exceeds the number of rotations of Deimos by an angle of 131.5 degrees.

(H). The SUM of the rotation periods of Mars and its two satellites = 2.6073 Earth days. During this time period, Earth rotates sidereally (ie:- rotates in relation to the fixed stars) 2 rotations + a residual angle of 221.2 degrees.

(I). The SUM of the orbital periods of Mars and its two satellites = 688.561 Earth days. During this time period, Earth revolves 1 revolution + a residual angle of 318.7 degrees.

(J). During TWO Moon orbital periods, Phobos and Deimos revolve altogether a total of 214 revolutions + a residual angle of 225.0 degrees.

(K). During One Moon orbital period, Mars rotates 26 rotations + a residual angle of 226.9 degrees.

(L). During One Mars orbital period, The Moon revolves 25 revolutions + a residual angle of 51.9 degrees.

Note:- These above facts may not all be statistically independent – but most of them are.

Sample calculations:-

(A). [(2 x 365.25636) ÷ 0.31891023] minus [(2 x 365.25636) ÷ 1.2624407] = 1712.0020 and 0.0020 x 360 = 0.7 degrees. That is 1712 revolutions + a residual angle of 0.7 degrees.

(C). (365.25636 x 4) ÷ 686.980 = 2.1267 and 0.1267 x 360 = 45.6 degrees. That is 2 revolutions of Mars + a residual angle of 45.6 degrees.

(H). (1.025957 + 0.31891023 + 1.2624407) ÷ 0.9972697 = 2.6144 rotations. 0.6144 x 360 = 221.2 degrees. That is 2 sidereal rotations of Earth + a residual angle of 221.2 degrees.

(I). (686.980 + 0.31891023 + 1.2624407) ÷ 365.256 = 1.8851 revolutions of Earth, ie:- 1 revolution + (0.8851 x 360) = a residual angle of 318.7 degrees.

When you depict each of these nine residual angles as a (single line) radius, the nine radiuses look like this:-