thousands

THOUSANDS.

The Solar System is full of close-to-perfect multiples of A THOUSAND. This cannot be explained as the product of natural physical laws, or chance occurrence. Here are some examples:-

EXAMPLE 1.

(A). The SUM of the orbital periods of The Inner Solar System Planets – excluding Earth (ie:- Mercury, Venus, and Mars) = 999.64807 Earth days.

(B). To make certain that this would not be misinterpreted (by us!) as a mere chance occurrence, a second related feature was (deliberately) incorporated. During the precise time period of 999.64807 Earth days, The Eight Inner Solar System Bodies rotate altogether a total of 6001.4349 rotations.

(C). To make doubly certain that this would not be misinterpreted (by us!) as a mere chance occurrence, a still further related feature was (deliberately) incorporated pertaining to The Inner Solar System Planets – excluding Earth (ie:- Mercury, Venus, and Mars). Every planet has FOUR PERIODS, ie:- orbital period, rotation period, synodic revolution period, and synodic rotation period. The SUM of the FOUR PERIODS of each of the The Inner Solar System Planets – excluding Earth (ie:- Mercury, Venus, and Mars) = 2998.8937 Earth days.

(D). To make trebly certain that this would not be misinterpreted (by us!) as a mere chance occurrence, a still further related feature was (deliberately) incorporated. During THREE times the time period of 999.64807 Earth days, The INNERMOST LARGE PROGRADE Satellites of The Four Giant Planets revolve altogether a total of 6998.9807 revolutions.

(E). The SUM of the synodic revolution periods and synodic rotation periods of THE FOUR SLOW-ROTATING INNER SOLAR SYSTEM BODIES (ie:- Mercury, Venus, The Sun, and The Moon) = 1001.0983 Earth days.

(F). The SUM of the orbital and rotation periods of the planets out as far as (and including) Jupiter = 6001.5296 Earth days.

(G). The SUM of the revolution periods of The Lunar Node and the Lunar Perigee exceeds The Lunar Month by 10,000.33736 Earth days.

Here are two similar features involving The Mars System:-

(H). Mars orbital period = 686.9782 Earth (solar) days.

Mars orbital period = 669.59746 Mars (sidereal) days.

The product of these two numbers = 459,998.8642

(I). Earth and Mars are neighbor planets.

Phobos is Mars Primary (ie:- largest) Satellite.

During TWO Earth years, Mars and Phobos rotate synodically altogether total of 3000.557147 rotations.

If you want to verify the above examples, (A) to (I), here (below) are the data and the data sources that you will require:- If you want to verify the numerical data, you will need to purchase the book The Signs in The Heavens, by Roger Elliott (available on Amazon), which contains scans from the original numerical data sources.

(A). The orbital periods of Mercury, Venus, and Mars (expressed in Earth days) are – respectively – 87.9692 and 224.70067 and 686.9782

Data sources:- For orbital periods of Mercury, Venus, and Mars – Appendix 2, Section 12.

(B). Here are the names and rotation periods (expressed in Earth days) of The Eight Inner Solar System Bodies:- The Sun 24.66225 and Mercury 58.6462 and Venus 243.0187 and Earth 0.997269663 and Mars 1.025957 and The Moon 27.321661 and (The Two Mars Satellites) Phobos 0.31891023 and Deimos 1.2624407

Data sources:- For orbital periods of Mercury, Venus, and Mars – Appendix 2, Section 12. For The Sun rotation period – Appendix 2, Section 4. For the rotation periods of Mercury and Venus – Appendix 2, Section 13. For The rotation period of Earth (ie:- The Earth sidereal day) – Appendix 2, Section 1. For the rotation period of Mars – Appendix 2, Section 5. For the rotation periods of The Moon, Phobos, and Deimos (which are the same as their orbital periods, due to “tidal locking”) – Appendix 2, Section 22. For the rotation period of The Sun – Appendix 2, Section 4.

(C). All periods are expressed in Earth days.

The orbital periods of Mercury, Venus, and Mars are – respectively – 87.9692 and 224.70067 and 686.9782

The rotation periods of Mercury, Venus, and Mars are – respectively – 58.6462 and 243.0187 and 1.025957

The synodic revolution periods of Mercury, Venus, and Mars are – respectively – 115.8774 and 583.9205 and 779.9382

The synodic rotation periods of Mercury Venus and Mars are – respectively – 69.8636 and 145.9276 and 1.027491204

For the orbital periods of Mercury, Venus, and Mars – Appendix 2, Section 12. For the rotation periods of Mercury and Venus – Appendix 2, Section 13. For the rotation period of Mars – Appendix 2, Section 5. For the synodic revolution periods of Mercury, Venus, and Mars – Appendix 2, Section 3. For the synodic rotation periods of Mercury and Venus – Appendix 2, Section 13. For the synodic rotation period of Mars – Appendix 2, Section 5.

The Four Giant Planets are:- Jupiter, Saturn, Uranus, and Neptune.

Jupiter’s INNERMOST LARGE Satellite is Io. Saturn’s INNERMOST LARGE Satellite is Mimas. Uranus’ INNERMOST LARGE Satellite is Miranda. Neptune’s INNERMOST LARGE Satellite is Triton.

Io, Mimas, and Miranda have PROGRADE revolution. Triton has RETROGRADE (ie:- in the “wrong” direction) revolution.

The orbital periods (expressed in Earth days) of Io, Mimas, and Miranda are:- Io 1.769137786 and Mimas 0.942421813 and Miranda 1.4134840

999.64807 x 3 = 2998.94421

(2998.94421 ÷ 1.769137786) + (2998.94421 ÷ 0.942421813) + (2998.94421 ÷ 1.4134840) = 6998.9807

Data sources:- For the orbital periods of Io, Mimas, and Miranda – Appendix 2, Section 22. To check the sizes of these three satellites, and to confirm that Triton has retrograde revolution (See the letter R directly preceding Triton’s orbital period) – The Planetary Scientist’s Companion, by Lodders and Fegley, published by Oxford University Press 1998, Table 2.4

(E). The synodic revolution periods and synodic rotation periods (expressed in Earth days) of THE FOUR SLOW-ROTATING INNER SOLAR SYSTEM BODIES (ie:- Mercury, Venus, The Sun, and The Moon) are as follows:-The synodic revolution periods:- Mercury 115.8774 and Venus 583.9205 and The Sun none (because The Sun rotates, but does not revolve), and The Moon 29.5305882

The synodic rotation periods:- Mercury 69.8636 and Venus 145.9276 and The Sun 26.44803 and the Moon 29.5305882

Data sources:- For the synodic revolution periods of Mercury, Venus, and The Moon – Appendix 2, Section 3. For the synodic rotation periods of Mercury and Venus – Appendix 2, Section 13. For the synodic rotation period of the Moon (which is the same as its synodic revolution period, due to “tidal locking”) – Appendix 2, Section 3. For the synodic rotation period of The Sun – Appendix 2, Section 4.

(F). The planets out as far as Jupiter (arranged in ascending orbit order) are:- Mercury, Venus, Earth, Mars, Jupiter. Here are their orbital and rotation periods (expressed in Earth days):-

Orbital periods:- Mercury 87.9692 and Venus 224.70067 and Earth 365.25636 and Mars 686.9782 and Jupiter 4332.5235

Rotation periods:- Mercury 58.6462 and Venus 243.0187 and Earth 0.997269663 and Mars 1.025957 and Jupiter 0.41353831

Data sources:- For the orbital periods of Mercury, Venus, Mars and Jupiter – Appendix 2, Section 12. For the orbital period of Earth (ie:- The Earth sidereal year) – Appendix 2, Section 1. For the rotation periods of Mercury and Venus – Appendix 2, Section 13. For the rotation period of Earth – Appendix 2, Section 1. For the rotation period of Mars – Appendix 2, Section 5. For the rotation period of Jupiter – Appendix 2, Section 11.

(G). The revolution period of The Lunar Node = 6798.375113 Earth days. The revolution period of The Lunar Perigee = 3231.492837 Earth days. The Lunar (Synodical) Month (ie:- The Moon’s synodic revolution period) = 29.5305882 Earth days.

Data sources:- For the revolution period of The Lunar Node and the revolution period of The Lunar Perigee – Appendix 2, Section 6. For The Lunar (Synodical) Month – Appendix 2, Section 2.

(H). Data sources:- For Mars orbital period – Appendix 2, Section 12. For Mars sidereal rotation period (which is the Mars sidereal day, which is 1.025957 Earth days) – Appendix 2, Section 5. (686.9782 ÷ 1.025957 = 669.59746 Mars sidereal days)

(I). The Earth (sidereal) year = 365.25636 Earth days. (See Appendix 2, Section 1.) Mars synodic rotation period = 1.027491204 Earth days. (See Appendix 2, Section 5.) Phobos’ synodic rotation period (which is the same as its synodic revolution period, due to “tidal locking”) = 0.319058343 Earth days. (See Appendix 2, Section 19). To confirm that Earth and Mars are neighbor planets, and that Phobos is Mars’ largest satellite – The Planetary Scientist’s Companion, by Lodders and Fegley, published by Oxford University Press 1998, Table 2.4

The above examples are unlikely to be chance occurrences, but this cannot be rigorously demonstrated. However, the next example is susceptible to a rigorous mathematical demonstration, and cannot possibly be explained as chance occurrence.

EXAMPLE 2.

The Sun’s sidereal rotation period = 24.66225 Earth (solar) days.

The Sun’s synodic rotation period, as viewed from Earth = 26.44803 Earth (solar) days.

The Sun’s synodic rotation period, as viewed from Mars = 24.93339 Mars sidereal days.

In that case, we have three numbers:-

24.66225

26.44803

24.93339

These numbers look “innocent” and unremarkable at first glance. However, they all three share the same remarkable property. TWICE The THIRD POWER of each of these numbers is (in each case) a close-to-perfect multiple of A THOUSAND.

(24.662253) x 2 = 30,000.4717

(26.448033) x 2 = 37,000.70356

(24.933393) x 2 = 31,000.87744

It is fairly obvious that this cannot happen THREE TIMES IN A ROW purely by chance (in which case it HAS to be DELIBERATE!) However, I will now provide a rigorous mathematical demonstration of the statistical odds against chance occurrence.

We will assume that we are dealing only with The Four Inner Solar System Planets.

The Sun’s sidereal rotation period can be expressed in Earth solar days, or in Earth sidereal days. (2 options.)

The Sun’s synodic rotation period, as viewed from Mercury can be expressed in Earth solar days, or in Earth sidereal days. (2 options.)

The Sun’s synodic rotation period, as viewed from Venus can be expressed in Earth solar days, or in Earth sidereal days. (2 options.)

The Sun’s synodic rotation period, as viewed from Earth can be expressed in Earth solar days, or in Earth sidereal days. (2 options.)

The Sun’s synodic rotation period, as viewed from Mars can be expressed in Earth solar days, or in Earth sidereal days, or in Mars solar days, or in Mars sidereal days. (4 options)

This is a total of 2 + 2 + 2 + 2 + 4 = 12 possible options.

Of these above three numbers, the number FURTHEST from a perfect multiple of 1000 is 31,000.87744

The probability (p) that any single specific randomly generated number will be this close to a perfect multiple of a thousand is calculated in the following manner:-

p = (0.87744 x 2) ÷ 1000 = 0.00175488

The number of “trials” = n = 12.

The number of successful outcomes = r = 3

p(r ≥ 3) = 12C3 x (1 minus 0.00175488)9 x 0.001754883 = 0.000,001,17

The number of possible operations that can be performed on any of the Sun rotation periods is enumerated below:-

(1). No operation performed.

(2). The number multiplied by 2.

(3). The number squared.

(4). The number squared and multiplied by 2.

(5). The number cubed.

(6). The number cubed and multiplied by 2.

0.000,001,17 x 6 = 0.000,007,02

That is odds against chance occurrence of 1 chance in (1 ÷ 0.000,007,02) = 1 chance in 142,000. That is one chance in forty two thousand!

These are not the only Solar System numbers that appear at first glance to be “innocent” and unremarkable, but which “hide” close-to-perfect multiples of A THOUSAND. Here are four further examples:-

The SUM of the orbital periods of Saturn’s Eight LARGE Satellites is 128.007069 Earth days.

(Once again), raise this number to the third power, and multiply by 2, and the result is a close-to-perfect multiple of A THOUSAND!

128.0070693 x 2 = 4,194,998.949

Another similar example involves The Four LARGE Satellites of Jupiter (which is Saturn’s neighbor planet). The SUM of their synodic revolution periods is equal to 70.7095432 Jupiter solar days.

TWICE the SQUARE of this number is a close-to-perfect multiple of TEN THOUSAND.

70.70954322 x 2 = 9999.679

There are two similar examples – both involving the planet Mercury (which is the INNERMOST Planet – ie:- The Sun’s direct neighbor).

Mercury’s synodic rotation period = 69.8636 Earth days.

The CUBE of this number = 68.86363 = 340,998.8245

Mercury’s synodic revolution period = 116.19465 Earth sidereal days.

TWICE The SQUARE of this number = (116.194652) x 2 = 27,002.3934

Data sources:- For The Sun sidereal and (various) synodic rotation periods – Appendix 2, Section 4. For Mars sidereal day (ie:- Mars sidereal rotation period) – Appendix 2, Section 5. (Note:- To convert from Earth solar days to Mars sidereal days – divide by Mars sidereal rotation period, which is 1.025957 Earth solar days. The Sun’s synodic rotation period, as viewed from Mars = 25.58058 Earth solar days, which is (25.58058 ÷ 1.025957) = 24.93339 Mars sidereal days.) For the orbital periods of The Eight LARGE Saturn Satellites – Appendix 2, Section 22.

The SYNODIC revolution periods of Jupiter’s Four LARGE Satellites (expressed in Earth days) are as follows:- Io 1.7698605 and Europa 3.5540942 and Ganymede 7.1663872 and Callisto 16.753554 (See Appendix 2, Section 22 to verify this). Jupiter’s synodic rotation period (ie:- The Jupiter solar day) = 0.41357778 Earth days. (See Appendix 2, Section 11 to verify this)

(1.7698605 + 3.5540942 + 7.1663872 + 16.753554) ÷ 0.41357778 = 70.7095432

To verify Mercury’s synodic rotation period – Appendix 2, Section 13. Mercury’s synodic revolution period = 115.8774 Earth days. The Earth sidereal day = 0.997269663 Earth (solar) days. (115.8774 ÷ 0.997269663) = 116.19465 Earth sidereal days. To verify Mercury’s synodic revolution period – Appendix 2, Section 3. To verify The Earth sidereal day – Appendix 2, Section 1.

MULTIPLES OF A THOUSAND IN THE SOLAR SYSTEM.

Close-to-perfect multiples of A THOUSAND appear (in a cryptic, veiled format) EIGHTEEN times in relation to The Sun! If it happened once or twice, it could be dismissed as chance occurrence, but not when it happens eighteen times!

I will set this out in easy stages.

Here is a series of numbers. I will reveal later exactly what they represent. For now, I will just say that they all relate to The Sun.

(A). 24.66225

(B). 26.44803

(C). 24.93338

(D). 25.58058

27.7028

(E). 14.81034

1.10783

(F). 24.66225

24.002395

(G). 25.58058

24.80344

(H). 24.038288

59.637159

(I). 34.363654

27.778644

26.5204397

(J). 27.702799

0.11399

(K). 31.6248

(L). 25.80989137

(M). 362.16969

(N). 15.874785

(O). 1110.067758

(P). 382.6010387

The above series of numbers look unremarkable. However, they “hide” a common “theme”. Here are the numbers again, this time “decoded”.

(A). 24.66225

TWICE the CUBE of this number = 30,000.4717

(B). 26.44803

TWICE the CUBE of this number = 37,000.70356

(C). 24.93338

TWICE the CUBE of this number = 31,000.84014

(D). 25.58058

27.7028

The SUM of the CUBES of these two numbers = 37,999.4398

(E). 14.81034

1.10783

FOUR times the SUM of the CUBES of these two numbers = 12,999.8040

(F). 24.66225

24.002395

FOUR times the CUBE of the SUM of these two numbers = 460,999.7364

(G). 25.58058

24.80344

The SUM of the CUBES of these two numbers = 31,998.40378

(H). 24.038288

59.637159

The SQUARE of the SUM of these two numbers = 7001.58043

(I). 34.363654

27.778644

26.5204397

THREE times the SUM of the CUBES of these three numbers = 242,000.653

(J). 27.702799

0.11399

The CUBE of the DIFFERENCE between these two numbers = 20,999.00149

(K). 31.6248

The SQUARE of this number = 1000.1266

(L). 25.80989137

ONE AND A HALF times the SQUARE of this number = 999.225739

(M). 362.16969

SIX times the SQUARE of this number = 787,001.3061

(N). 15.874785

The CUBE of this number = 4000.5858

(O). 1110.067758

FOUR times the SQUARE of this number = 4,929,001.711

(P). 382.6010387

TWICE the CUBE of this number = 112,013,000.3

It is clear that this profusion of perfect multiples of A THOUSAND cannot be produced by “naturally” formed numbers in The Solar System. The numbers have clearly been artificially “tampered with”, and in an exceedingly clever manner!

The Solar System contains many, many further examples of (close-to-perfect) multiples of A THOUSAND. The examples above are the ones relating only to The Sun.

Now I will reveal the precise origin of the above numbers.

(A). 24.66225

24.66225 Earth days is the sidereal rotation period of The Sun (ie:- its rotation period in relation to the fixed stars).

TWICE the CUBE of this number = 30,000.4717

(B). 26.44803

26.44803 Earth days is the Sun’s rotation period, as viewed from Earth (without factoring in Earth’s revolution round The Sun).

TWICE the CUBE of this number = 37,000.70356

(C). 24.93338

24.93338 Mars (sidereal) days is the Sun’s rotation period, as viewed from Mars (without factoring in Mars’ revolution round The Sun).

TWICE the CUBE of this number = 31,000.84014

(D). 25.58058 and 27.7028

Mars and Venus are Earth’s neighbor planets.

25.58058 Earth days is the Sun’s rotation period, as viewed from Mars (without factoring in Mars’ revolution round The Sun).

27.7028 Earth days is the Sun’s rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun).

The SUM of the CUBES of these two numbers = 37,999.4398

(E). 14.81034 and 1.10783

During one Earth orbital period, The Sun rotates 14.81034 rotations.

During one Moon orbital period, The Sun rotates 1.10783 rotations.

FOUR times the SUM of the CUBES of these two numbers = 12,999.8040

(F). 24.66225 and 24.002395

Earth and Mars are neighbor planets.

24.66225 Earth (solar) days is The Sun’s (sidereal) rotation period (ie:- in relation to the fixed stars).

24. 002395 Mars (solar) days is The Sun’s (sidereal) rotation period (ie:- in relation to the fixed stars).

FOUR times the CUBE of the SUM of these two numbers = 460,999.7364

(G). 25.58058 and 24.80344

Mars and Jupiter are neighbor planets.

25.58058 Earth days is The Sun’s rotation period, as viewed from Mars (ie:- without factoring in Mars’ revolution round The Sun).

24.80344 Earth days is The Sun’s rotation period, as viewed from Jupiter (ie:- without factoring in Jupiter’s revolution round The Sun).

The SUM of the CUBES of these two numbers = 31,998.40378

(H). 24.038288 and 59.637159

Mars and Jupiter are neighbor planets.

24.038288 Mars sidereal days is The Sun’s sidereal rotation period (ie:- in relation to the fixed stars).

59.637159 Jupiter sidereal days is The Sun’s sidereal rotation period (ie:- in relation to the fixed stars).

The SQUARE of the SUM of these two numbers = 7001.58043

(I). 34.363654 and 27.778644 and 26.5204397

The three INNERMOST Planets are:- Mercury, Venus, and Earth.

34.363654 Earth sidereal days is the Sun’s rotation period, as viewed from Mercury (without factoring in Mercury’s revolution round The Sun).

27.778644 Earth sidereal days is the Sun’s rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun).

26.5204397 Earth sidereal days is the Sun’s rotation period, as viewed from Earth (without factoring in Earth’s revolution round The Sun).

THREE times the SUM of the CUBES of these three numbers = 242,000.653

(J). 27.702799 and 0.11399

Earth and Venus are neighbor planets.

27.702799 Earth solar days is The Sun’s rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun).

0.11399 Venus sidereal days is The Sun’s rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun).

The CUBE of the DIFFERENCE between these two numbers = 20,999.00149

(K). 31.6248

During one Mars synodic revolution period, The Sun rotates sidereally (ie:- in relation to the fixed stars) 31.6248 rotations.

The SQUARE of this number = 1000.1266

(L). 25.80989137

During One Sun (sidereal) rotation period, Jupiter’s Four Large (“Galilean”) Satellites revolve altogether a total of 25.80989137 revolutions.

ONE AND A HALF times the SQUARE of this number = 999.225739

(M). 362.16969

During One Sun (sidereal) rotation period, The INNERMOST satellites of (each of) The Planets (excluding Pluto, treating it as a Trans-Neptunian Object, rather than as a planet) revolve altogether a total of 362.16969 revolutions.

SIX times the SQUARE of this number = 787,001.3061

(N). 15.874785

During One Sun (sidereal) rotation period, The Primary Satellites of The Outer Solar System revolve synodically (ie:- as viewed from Earth) altogether a total of 15.874785 revolutions.

The CUBE of this number = 4000.5858

(O). 1110.067758

The OUTERMOST LARGE Satellites of The Naked-Eye-Visible Planets are:- The Moon, Callisto, and Iapetus. The SUM of their orbital periods is equal to 1110.067758 Sun oscillation periods.

FOUR times the SQUARE of this number = 4,929,001.711

(P). 382.6010387

The SUM of the orbital periods of The Seven LARGE Satellites of The Three telescopic Planets is equal to 382.6010387 Sun oscillation periods.

TWICE the CUBE of this number = 112,013,000.3

There are two further examples of close-to-perfect multiples of A THOUSAND relating to The Sun.

(Q). The SUM of the rotation periods of The Moon and The Planets (excluding Pluto, as being a Trans-Neptunian Object, rather than a planet) is equal to 2999.3126 Sun oscillation periods.

(R). Ganymede is Jupiter’s Primary (ie:- largest) Satellite.

During THREE Sun (sidereal) rotation periods, the bodies of The Jupiter System inferior to (ie:- more “central” than) Ganymede rotate altogether a total of 998.8174 rotations.

We now have the following EIGHTEEN close-to-perfect multiples of A THOUSAND related to The Sun.

30,000.4717 and 37,000.70356 and 31,000.84014 and 37,999.4398 and 12,999.8040 and 460,999.7364 and 31,998.40378 and 7001.58043 and 242,000.653 and 20,999.00149 and 1000.1266 and 999.225739 and 787,001.3061 and 4000.5858 and 4,929,001.711 and 112,013,000.3 and 2999.3126 and 998.8174

Question:- Can “natural” physical laws make this happen?

Answer:- No! The number A THOUSAND is only significant to humans because we have TEN digits. The Laws of physics cannot “know” this. If we had TWELVE digits, The Solar System would “need” to configure a similar profusion of close-to-perfect multiples of 1728 (ie:- 12 x 12 x 12)

Question:- Could these EIGHTEEN close-to-perfect multiples of A THOUSAND relating to The Sun be mere chance occurrences?

Answer:- It must be obvious to anyone that the answer is no!

Now, I will go through these seventeen examples in greater detail, stating numerical data sources.

(A). 24.66225

24.66225 Earth days is the sidereal rotation period of The Sun (ie:- its rotation period in relation to the fixed stars).

TWICE the CUBE of this number = 30,000.4717

Data sources:- For The Sun’s sidereal rotation period – Appendix 2, Section 4.

(B). 26.44803

26.44803 Earth days is the Sun’s rotation period, as viewed from Earth (without factoring in Earth’s revolution round The Sun).

TWICE the CUBE of this number = 37,000.70356

Data sources:- The Sun’s rotation period, as viewed from Earth (without factoring in Earth’s revolution round The Sun) is The Sun’s SYNODIC rotation period, as viewed from Earth. For this data, go to Appendix 2, Section 4.

(C). 24.93338

24.93338 Mars (sidereal) days is the Sun’s rotation period, as viewed from Mars (without factoring in Mars’ revolution round The Sun).

TWICE the CUBE of this number = 31,000.84014

The Sun’s rotation period, as viewed from Mars (without factoring in Mars’ revolution round The Sun) is The Sun’s SYNODIC rotation period, as viewed from Mars. This is 25.58058 Earth (solar) days. To convert this value to Mars sidereal days, divide by The Mars sidereal day (ie:- Mars’ sidereal rotation period.), which is 1.025957 Earth days.

25.58058 ÷ 1.025957 = 24.93338 Mars sidereal days.

Data sources:- For The Sun’s SYNODIC rotation period, as viewed from Mars – Appendix 2, Section 4. For Mars’ sidereal rotation period – Appendix 2, Section 5.

(D). 25.58058 and 27.7028

Mars and Venus are Earth’s neighbor planets.

25.58058 Earth days is the Sun’s rotation period, as viewed from Mars (without factoring in Mars’ revolution round The Sun), ie:- The Sun’s SYNODIC rotation period, as viewed from Earth.

27.7028 Earth days is the Sun’s rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun), ie:- The Sun’s SYNODIC rotation period, as viewed from Earth.

The SUM of the CUBES of these two numbers = 37,999.4398

Data sources:- For both of these above periods – Appendix 2, Section 4.

(E). 14.81034 and 1.10783

During one Earth orbital period, The Sun rotates 14.81034 rotations.

During one Moon orbital period, The Sun rotates 1.10783 rotations.

FOUR times the SUM of the CUBES of these two numbers = 12,999.8040

Earth’s orbital period (ie:- The Earth sidereal year) = 365.25636 Earth days. (See Appendix 2, Section 1.)

The Moon’s orbital period = 27.321661 Earth days (See Appendix 2, Section 22.

The Sun’s (sidereal) rotation period = 24.66225 Earth days. (See Appendix 2, Section 4.

365.25636 ÷ 24.66225 = 14.81034

27.321661 ÷ 24.66225 = 1.10783

(F). 24.66225 and 24.002395

Earth and Mars are neighbor planets.

24.66225 Earth (solar) days is The Sun’s (sidereal) rotation period (ie:- in relation to the fixed stars).

24. 002395 Mars (solar) days is The Sun’s (sidereal) rotation period (ie:- in relation to the fixed stars).

FOUR times the CUBE of the SUM of these two numbers = 460,999.7364

The Sun’s (sidereal) rotation period = 24.66225 Earth (solar) days. (See Appendix 2, Section 4.)

To convert this to Mars solar days, divide by The Mars solar day, which is 1.027491 Earth (solar) days. (See Appendix 2, Section 5.)

24.66225 ÷ 1.027491 = 24. 002395

(G). 25.58058 and 24.80344

Mars and Jupiter are neighbor planets.

25.58058 Earth days is The Sun’s rotation period, as viewed from Mars (ie:- without factoring in Mars’ revolution round The Sun).

24.80344 Earth days is The Sun’s rotation period, as viewed from Jupiter (ie:- without factoring in Jupiter’s revolution round The Sun).

The SUM of the CUBES of these two numbers = 31,998.40378

Data sources:- To verify the above two periods – Appendix 2, Section 4.

(H). 24.038288 and 59.637159

Mars and Jupiter are neighbor planets.

24.038288 Mars sidereal days is The Sun’s sidereal rotation period (ie:- in relation to the fixed stars).

59.637159 Jupiter sidereal days is The Sun’s sidereal rotation period (ie:- in relation to the fixed stars).

The SQUARE of the SUM of these two numbers = 7001.58043

The Sun’s sidereal rotation period (ie:- in relation to the fixed stars) = 24.66225 Earth days. (See Appendix 2, Section 4.)

The Mars sidereal day (ie:- Mars’ sidereal rotation period) = 1.025957 Earth days. (See Appendix 2, Section 5.)

24.66225 ÷ 1.025957 = 24.038288 Mars sidereal days.

The Jupiter sidereal day (ie:- Jupiter’s sidereal rotation period) = 0.41353831 Earth days. (See Appendix 2, Section 11.)

24.66225 ÷ 0.41353831 = 59.637159 Jupiter sidereal days.

(I). 34.363654 and 27.778644 and 26.5204397

The three INNERMOST Planets are:- Mercury, Venus, and Earth.

34.363654 Earth sidereal days is the Sun’s rotation period, as viewed from Mercury (without factoring in Mercury’s revolution round The Sun).

27.778644 Earth sidereal days is the Sun’s rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun).

26.5204397 Earth sidereal days is the Sun’s rotation period, as viewed from Earth (without factoring in Earth’s revolution round The Sun).

THREE times the SUM of the CUBES of these three numbers = 242,000.653

The Sun’s (synodic) rotation periods as viewed from Mercury, Venus, and Earth are – respectively – 34.2698 Earth (solar) days, and 27.7028 Earth (solar) days, and 26.44803 Earth (solar) days. (See Appendix 2, Section 4.)

To convert from Earth solar days, you have to divide by 0.997269663 (because the Earth sidereal day = Earth’s sidereal rotation period = 0.997269663 Earth solar days. See Appendix 2, Section 1.)

34.2698 ÷ 0.997269663 = 34.363654 Earth sidereal days.

27.7028 ÷ 0.997269663 = 27.778644 Earth sidereal days.

26.44803 ÷ 0.997269663 = 26.5204397 Earth sidereal days.

(J). 27.702799 and 0.11399

Earth and Venus are neighbor planets.

27.702799 Earth solar days is The Sun’s (synodic) rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun). (See Appendix 2, Section 4.)

The Venus sidereal day = Venus sidereal rotation period, which is 243.0187 Earth (solar) days. (See Appendix 2, Section 13.)

27.702799 ÷ 243.0187 = 0.11399 Venus sidereal days

0.11399 Venus sidereal days is The Sun’s (synodic) rotation period, as viewed from Venus (without factoring in Venus’ revolution round The Sun).

The CUBE of the DIFFERENCE between these two numbers = 20,999.00149

(K). 31.6248

During one Mars synodic revolution period, The Sun rotates sidereally (ie:- in relation to the fixed stars) 31.6248 rotations.

The SQUARE of this number = 1000.1266

Mars synodic revolution period = 779.9382 Earth days. (See Appendix 2, Section 3.)

The Sun’s sidereal rotation period = 24.66225 Earth days. (See Appendix 2, Section 4.)

779.9382 ÷ 24.66225 = 31.6248 rotations

(L). 25.80989137

During One Sun (sidereal) rotation period, Jupiter’s Four Large (“Galilean”) Satellites revolve altogether a total of 25.80989137 revolutions.

ONE AND A HALF times the SQUARE of this number = 999.225739

The Sun’s sidereal rotation period = 24.66225 Earth days. (See Appendix 2, Section 4.)

Jupiter’s Four LARGE “Galilean” Satellites are:- Io, Europa, Ganymede, and Callisto. Their orbital periods (expressed in Earth days) are:- Io 1.769137786 and Europa 3.551181041 and Ganymede 7.15455296 and Callisto 16.6890184 (See Appendix 2, Section 22.)

(24.66225 ÷ 1.769137786) + (24.66225 ÷ 3.551181041) + (24.66225 ÷ 7.15455296) + (24.66225 ÷ 16.6890184) = 25.80989137 revolutions.

(M). 362.16969

SIX times the SQUARE of this number = 787,001.3061

The Sun’s sidereal rotation period = 24.66225 Earth days. (See Appendix 2, Section 4.)

The planets, arranged in ascending order from The Sun, are:- Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. (For this example, we will treat Pluto as a Trans-Neptunian Object, rather than as a planet.)

Mercury and Venus have no satellites. Earth’s INNERMOST Satellite is the Moon, and Mars’ INNERMOST Satellite is Phobos, and Jupiter’s INNERMOST Satellite is Metis, and Saturn’s INNERMOST Satellite is Pan, and Uranus’ INNERMOST Satellite is Cordelia, and Neptune’s INNERMOST Satellite is Naiad.

The orbital periods (expressed in Earth days) of these INNERMOST Satellites are as follows:- The Moon 27.321661 and Phobos 0.31891023 and Metis 0.294780 and Pan 0.57505 and Cordelia 0.3350331 and Naiad 0.294396

(24.66225 ÷ 27.321661) + (24.66225 ÷ 0.31891023) + (24.66225 ÷ 0.294780) + (24.66225 ÷ 0.57505) + (24.66225 ÷ 0.3350331) + (24.66225 ÷ 0.294396) = 362.16969 revolutions

Data sources:- For The orbital periods of The Moon and Phobos – Appendix 2, Section 22. For the orbital period of Metis (and to confirm that it is Jupiter’s innermost satellite) – Appendix 2, Section 15. For the orbital period of Pan (and to confirm that it is Saturn’s innermost satellite) – Appendix 2, Section 16. For the orbital period of Cordelia (and to confirm that it is Uranus’ innermost satellite) – Appendix 2, Section 17. For the orbital period of Naiad (and to confirm that it is Neptune’s innermost satellite) – Appendix 2, Section 18. To confirm that Phobos is Mars’ innermost satellite, got to Wikipedia (Search term “Moons of Mars”.)

(N). 15.874785

During One Sun (sidereal) rotation period, The Primary Satellites of The Outer Solar System revolve synodically (ie:- as viewed from Earth) altogether a total of 15.874785 revolutions.

The CUBE of this number = 4000.5858

The Sun sidereal rotation period = 24.66225 Earth days.

The Outer Solar System Planets are:- Jupiter, Saturn, Uranus, Neptune, and Pluto.

A Primary Satellite is the LARGEST Satellite for a particular planet.

Jupiter’s Primary Satellite is Ganymede, and Saturn’s Primary Satellite is Titan, and Uranus’ Primary Satellite is Titania, and Neptune’s Primary Satellite is Triton, and Pluto’s Primary Satellite is Charon.

Ganymede’s synodic revolution period = 7.16638724 Earth days.

Titan’s synodic revolution period = 15.9691581 Earth days.

Titania’s synodic revolution period = 8.7083384 Earth days.

Triton’s synodic revolution period = 5.8774177 Earth days.

Charon’s synodic revolution period = 6.387679 Earth days.

(24.66225 ÷ 7.166387) + (24.66225 ÷ 15.9691581) + (24.66225 ÷ 8.7083384) + (24.66225 ÷ 5.8774177) + (24.66225 ÷ 6.387679) = 15.874785 revolutions.

Data sources:- For The Sun’s sidereal rotation period – Appendix 2, Section 4. For the synodic revolution periods of Ganymede, Titan, Titania, and Triton – Appendix 2, Section 22. For Charon’s synodic revolution period – Appendix 2, Section 14. To confirm satellite sizes (and thus to confirm the Primary Satellites for each planet), and also to confirm planet sizes (and thus to confirm The Four Giant Planets) – The Planetary Scientist’s Companion, by Lodders and Fegley, Published by Oxford University Press, 1998, Table 2.4

(O). 1110.067758

The OUTERMOST LARGE Satellites of The Naked-Eye-Visible Planets are:- The Moon, Callisto, and Iapetus. The SUM of their orbital periods is equal to 1110.067758 Sun oscillation periods.

The Naked-Eye-Visible Planets are:- Mercury, Venus, Earth, Mars, Jupiter, and Saturn.

Mercury and Venus have no satellites. Earth’s OUTERMOST LARGE Satellite is The Moon. Mars has no LARGE satellites. Jupiter’s OUTERMOST LARGE Satellite is Callisto. Saturn’s OUTERMOST LARGE Satellite is Iapetus.

Here are the orbital periods (expressed in Earth days) of the above named satellites:- The Moon 27.321661 and Callisto 16.6890184 and Iapetus 79.3301825

The Sun’s oscillation period = 0.11111111 Earth days.

(27.321661 + 16.6890184 + 79.3301825) ÷ 0.1111111111 = 1110.067758 Sun oscillation periods.

FOUR times the SQUARE of this number = 4,929,001.711

Data sources:- To confirm OUTERMOST LARGE Satellites, and to confirm their orbital periods – Appendix 2, Section 22. To confirm The Sun’s oscillation period – Appendix 2, Section 4. To confirm The Naked-Eye-Visible Planets – Appendix 2, Section 35.

(P). 382.6010387

The SUM of the orbital periods of The Seven LARGE Satellites of The Three telescopic Planets is equal to 382.6010387 Sun oscillation periods.

TWICE the CUBE of this number = 112,013,000.3

The Three Telescopic Planets (ie:- NOT Naked-Eye-Visible) are:- Uranus, Neptune, and Pluto. Uranus has Five LARGE Satellites (Miranda, Ariel, Umbriel, Titania, and Oberon); and Neptune has just One LARGE Satellite (Triton), and Pluto has just One LARGE Satellite (Charon).

Here are the orbital periods (expressed in Earth days) of these seven satellites:- Miranda 1.4134840 and Ariel 2.52037932 and Umbriel 4.1441765 and Titania 8.7058703 and Oberon 13.4632423 and Triton 5.8768441 and Charon 6.387230

The Sun’s oscillation period = 0.11111111 Earth days.

(1.4134840 + 2.52037932 + l 4.1441765 + 8.7058703 + 13.4632423 + 5.8768441 + 6.387230) ÷ 0.1111111111 = 382.6010387 Sun oscillation periods.

Data sources:- To confirm The Sun’s oscillation period – Appendix 2, Section 4. To confirm The Naked-Eye-Visible Planets – Appendix 2, Section 35. To confirm the orbital periods of The LARGE Uranus and Neptune satellites – Appendix 2, Section 22. To confirm Charon’s orbital period – Appendix 2, Section 14.

(Q). The SUM of the rotation periods of The Moon and The Planets (excluding Pluto, as being a Trans-Neptunian Object, rather than a planet) is equal to 2999.3126 Sun oscillation periods.

The Sun’s oscillation period = 0.11111111 Earth days.

The Moon’s rotation period (which is the same as its orbital period, due to “tidal locking”) = 27.321661 Earth days.

The rotation periods (expressed in Earth days) of The Planets are as follows:- Mercury 58.6462 and Venus 243.0187 and Earth 0.997269663 and Mars 1.025957 and Jupiter 0.41353831 and Saturn 0.44401 and Uranus 0.71833 and Neptune 0.671252

(27.321661 + 58.6462 + 243.0187 + 0.997269663 + 1.025957 + 0.41353831 + 0.44401 + 0.71833 + 0.671252) ÷ 0.111111111 = 2999.3126 Sun oscillation periods.

Data sources:- To confirm The Sun’s oscillation period – Appendix 2, Section 4. For The Moon’s orbital period – Appendix 2, Section 22. For The rotation periods of Mercury and Venus – Appendix 2, Section 13. For Earth’s sidereal rotation period (ie:- The Earth sidereal day) – Appendix 2, Section 1. For Mars’ rotation period – Appendix 2, Section 5. For the rotation periods of Jupiter, Saturn, Uranus, and Neptune – Appendix 2, Section 11.

(R). Ganymede is Jupiter’s Primary (ie:- largest) Satellite.

During THREE Sun (sidereal) rotation periods, the bodies of The Jupiter System inferior to (ie:- more “central” than) Ganymede rotate altogether a total of 998.8174 rotations.

The bodies that are inferior to (ie:- more central than) Ganymede are:- Jupiter, Metis. Adrastea, Amalthea, Thebe, Io, and Europa. Metis. Adrastea, Amalthea, and Thebe are Jupiter’s Four SMALL “Inner” Satellites. Io and Europa are the first two of Jupiter’s Four LARGE “Galilean” Satellites. The rotation periods of all these satellites are the same as their orbital periods, due to “tidal locking”.

Here are the rotation periods of these bodies (expressed in Earth days):- Jupiter 0.41353831 and Metis 0.294780 and Adrastea 0.298260 and Amalthea 0.498179 and Thebe 0.674536 and Io 1.769137786 and Europa 3.551181041

The Sun’s (sidereal) rotation period = 24.66225 Earth days.

24.66225 x 3 = 73.98675

(73.98675 ÷ 0.41353831) + (73.98675 ÷ 0.294780) + (73.98675 ÷ 0.298260) + (73.98675 ÷ 0.498179) + (73.98675 ÷ 0.674536) + (73.98675 ÷ 1.769137786) + (73.98675 ÷ 3.551181041) = 998.8174 rotations.

Data sources:- To confirm The Sun’s sidereal rotation period – Appendix 2, Section 4. To confirm Jupiter’s rotation period – Appendix 2, Section 11. To confirm the orbital periods of Metis. Adrastea, Amalthea, and Thebe – Appendix 2, Section 15. To confirm the orbital periods of Io and Europa – Appendix 2, Section 22. To confirm that Ganymexde is Jupiter’s largest satellite – The Planetary Scientist’s Companion, by Lodders and Fegley, Published by Oxford University Press, 1998, Table 2.4