APPENDIX EIGHT.
(A). During one Mars orbital period, The Sun and Moon rotate altogether a total of 52.99968 rotations.
Mars orbital period = 686.980 Earth days. The Sun’s rotation period = 24.66225 Earth days. The Moon’s rotation period (which is the same as its orbital period, due to “tidal locking”) = 27.32166 Earth days.
(686.980 ÷ 24.66225) + (686.9782 ÷ 27.32166) = 52.99968 rotations.
To verify the above periods, go to The Planetary Scientist’s Companion, by Lodders and Fegley, Oxford University Press 1998, Table 2.4 or alternatively, go to the following web page:-www.solarsystemtimeperiods.com/planet-orbital
(B). During One Eclipse Year, The Three Prograde Primary Satellites of The Four Giant Planets revolve altogether a total of 109.9999139 revolutions. On average, only 1 randomly generated number in 5807 randomly generated numbers will be this close to a PERFECT WHOLE NUMBER.
1 ÷ [(1 minus 0.9999139) x 2] = 5807
The Eclipse Year = 346.620080 Earth days. To verify this, go to the following web page:- www.solarsystemtimeperiods.com/eclipse-year
The Four Giant Planets are:- Jupiter, Saturn, Uranus, and Neptune. Here are the names and orbital periods (expressed in Earth days) of their Primary (ie:- LARGEST) Satellites:-
Jupiter’s Primary Satellite is Ganymede 7.15455296 and Saturn’s Primary Satellite is Titan 15.94542068 and Uranus’ Primary Satellite is Titania 8.7058703 and Neptune’s Primary Satellite is Triton, which has retrograde revolution, and is therefore excluded.
(346.620080 ÷ 7.15455296) + (346.620080 ÷ 15.94542068) + (346.620080 ÷ 8.7058703) = 109.9999139 revolutions.
To verify satellite sizes, and to verify Triton’s retrograde revolution (See the letter R directly preceding Triton’s orbital period in the table.) go to the following web page:- www.solarsystemtimeperiods.com/planet-orbital
To verify the above satellite orbital periods, go to the following web page:- www.solarsystemtimeperiods.com/large-sats
(C). Jupiter’s Primary (ie:- largest) Satellite is Ganymede. The bodies inferior to Ganymede are:- Jupiter, Metis, Adrastea, Amalthea, Thebe, Io, and Europa.
TWICE the SUM of the rotation periods of these seven bodies = 14.99922 Earth days.
Also, during TWO Earth days, these seven bodies rotate 26.99990 rotations
Also, during TWO Sun Oscillation Periods, these seven bodies rotate altogether a total of 2.999989 rotations. On average, only 1 randomly generated number in 45,454 randomly generated numbers will be this close to a PERFECT WHOLE NUMBER.
1 ÷ [(1 minus 0.999989) x 2] = 45,454
Here are the rotation periods (expressed in Earth days) of these seven bodies which are inferior to Ganymede:- 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 Oscillation Period = 0.11111111 Earth days.
To verify Jupiter’s rotation period, go to the following web page:- www.solarsystemtimeperiods.com/jup-rot
To verify the rotation periods (which are the same as their orbital periods, due to “tidal locking”), of Metis, Adrastea, Amalthea, and Thebe, go to the following web page:- www.solarsystemtimeperiods.com/jup-inner
To verify the rotation periods (which are the same as their orbital periods, due to “tidal locking”), of Io and Europa, go to the following web page:- www.solarsystemtimeperiods.com/large-sats
To verify satellite sizes (ie:- to verify that Ganymede is Jupiter’s Primary Satellite), go to the following web page:- www.solarsystemtimeperiods.com/planet-orbital
2 x (0.41353831 + 0.294780 + 0.298260 + 0.498179 + 0.674536 + 1.769137786 + 3.551181041) = 14.99922 Earth days.
(2 ÷ 0.41353831) + (2 ÷ 0.294780) + (2 ÷ 0.298260) + (2 ÷ 0.498179) + (2 ÷ 0.674536) + (2 ÷ 1.769137786) + (2 ÷ 3.551181041) = 26.99990 rotations
(0.22222222 ÷ 0.41353831) + (0.2222222 ÷ 0.294780) + (0.2222222 ÷ 0.298260) + (0.22222222 ÷ 0.498179) + (0.22222222 ÷ 0.674536) + (0.22222222 ÷ 1.769137786) + (0.2222222 ÷ 3.551181041) = 2.999989 rotations.
(D). The SUM of the sidereal and synodic rotation periods of The INNERMOST Satellites of the Inner Solar System = 186.0000178 Earth days. On average, only 1 randomly generated number in 28,089 randomly generated numbers will be this close to a PERFECT WHOLE NUMBER.
1 ÷ [0.0000178 x 2] = 28,089
The INNERMOST Satellites of The Inner Solar System are as follows:- The Sun’s INNERMOST “Satellite” is Mercury; and Earth’s INNERMOST Satellite is The Moon; and Mars’ INNERMOST Satellite is Phobos.
Here are the sidereal rotation periods (expressed in Earth days) of these three bodies:- Mercury 58.6462 and The Moon 27.321661 and Phobos 0.31891023
Here are the synodic rotation periods (expressed in Earth days) of these three bodies:- Mercury 69.8636 and The Moon 29.5305882 and Phobos 0.319058343
58.6462 + 27.321661 + 0.31891023 + 69.8636 + 29.5305882 + 0.319058343 = 186.0000178 Earth days.
To verify these time periods, go to the following web pages:-
Mercury sidereal rotation period:- www.solarsystemtimeperiods.com/planet-orbital
The Moon and Phobos sidereal rotation periods:-
www.solarsystemtimeperiods.com/large-sats
Mercury, Moon, and Phobos synodic rotation periods:- www.solarsystemtimeperiods.com/syn-rot
To verify INNERMOST bodies go to the following web page:- www.solarsystemtimeperiods.com/planet-orbital
(E). The Directed Number SUM (ie:- subtract for retrogrades) of the orbital periods of The Primary Satellites of The Four Giant Planets = 25.99998857 Earth sidereal days. On average, only 1 randomly generated number in 43,747 randomly generated numbers will be this close to a PERFECT WHOLE NUMBER.
1 ÷ [(1 minus 0.99998857) x 2] = 43,747
The Four Giant Planets are:- Jupiter, Saturn, Uranus, and Neptune.
Here are the names and orbital periods (expressed in Earth days) of their Primary (ie:- LARGEST) Satellites:- For Jupiter Ganymede 7.15455296 and for Saturn Titan 15.94542068 and for Uranus Titania 8.7058703 and for Neptune Triton (which has retrograde revolution) 5.8768441
The Earth sidereal day (ie:- Earth’s sidereal rotation period) = 0.997269663 Earth solar days
(7.15455296 + 15.94542068 + 8.7058703 minus 5.8768441) ÷ 0.997269663 = 25.99998857 Earth sidereal days.
To verify satellite sizes, and to verify that Triton has retrograde revolution (See the letter R directly preceding Triton’s orbital period in the table), go to the following web page:- www.solarsystemtimeperiods.com/planet-orbital
To verify the orbital periods of these satellites, go to the following web page:- www.solarsystemtimeperiods.com/large-sats
To verify The Earth Sidereal Day, go to the following web page:- www.solarsystemtimeperiods.com/earth-periods
(F). The SUM of the synodic revolution periods of Uranus’ Five Large satellites = 30.2563551 Earth days. The Earth Year exceeds this by 335.0000049 Earth days. On average, only 1 randomly generated number in 102,000 randomly generated numbers will be this close to a PERFECT WHOLE NUMBER.
1 ÷ (0.0000049 x 2) = 102,000
Here are the orbital periods (expressed in Earth days) of Uranus and its Five LARGE Satellites:- Uranus 30717.682 and Miranda 1.4134840 and Ariel 2.52037932 and Umbriel 4.1441765 and Titania 8.7058703 and Oberon 13.4632423
The synodic revolution periods of these five satellites are calculated in the following manner;-
1 ÷ [(1 ÷ 1.4134840) minus (1 ÷ 30717.682)] = 1.413549045 Earth days.
1 ÷ [(1 ÷ 2.52037932) minus (1 ÷ 30717.682)] = 2.520586134 Earth days.
1 ÷ [(1 ÷ 4.1441765) minus (1 ÷ 30717.682)] = 4.144735674 Earth days.
1 ÷ [(1 ÷ 8.7058703) minus (1 ÷ 30717.682)] = 8.708338379 Earth days.
1 ÷ [(1 ÷ 13.4632423) minus (1 ÷ 30717.682)] = 13.46914569 Earth days.
1.413549045 + 2.520586134 + 4.144735674 + 8.708338379 + 13.46914569 = 30.25635492 Earth days.
The Earth Year = 365.25636 Earth days.
365.25636 minus 30.25635492 = 335.0000049 Earth days.
To verify The Earth Year, go to the following web page:- www.solarsystemtimeperiods.com/earth-periods
To verify the orbital periods of these satellites, go to the following web page:- www.solarsystemtimeperiods.com/large-sats
To verify Uranus’ orbital period, go to the following web page:- www.solarsystemtimeperiods.com/planet-orbital
To verify how synodic periods are calculated, go to the following web page:- www.solarsystemtimeperiods.com/what-is-synodic