APPENDIX SEVEN.
(A). First of all, I will show you three examples involving Venus’ rotation period, which is 243.0187 Earth days. To verify this period, go to the following web page:- www.solarsystemtimeperiods.com/planet-orbital
During this time period (of 243.0187 Earth days), the LARGE Satellites of The Naked-Eye-Visible Planets revolve altogether a total of 999.629 revolutions.
The Naked-Eye-Visible Planets are:- Mercury, Venus, Earth, Mars, Jupiter, and Saturn. Mercury and Venus have no satellites. Here is a list of their LARGE satellites, together with their orbital periods (expressed in Earth days):- Earth’s LARGE satellite is The Moon 27.32166 and Mars has no LARGE satellites. Jupiter’s 4 LARGE satellites are:- Io 1.769 and Europa 3.551 and Ganymede 7.155 and Callisto 16.689 and Saturn’s 8 LARGE satellites are:- Mimas 0.942 and Enceladus 1.370 and Tethys 1.888 and Dione 2.737 and Rhea 4.518 and Titan 15.945 and Hyperion 21.277 and Iapetus 79.331
(243.0187 ÷ 27.32166) + (243.0187 ÷ 1.769) + (243.0187 ÷ 3.551) + (243.0187 ÷ 7.155) + (243.0187 ÷ 16.689) + (243.0187 ÷ 0.942) + (243.0187 ÷ 1.370) + (243.0187 ÷ 1.888) + (243.0187 ÷ 2.737) + (243.0187 ÷ 4.518) + (243.0187 ÷ 15.945) + (243.0187 ÷ 21.277) + (243.0187 ÷ 79.331) = 999.629 revolutions.
To verify Naked-Eye-Visible Planets, go to the following web page:- www.solarsystemtimeperiods.com/naked-eye
To verify satellite sizes and orbital 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
Also, during this time period (of 243.0187 Earth days), Sun, Moon, and The Prograde Planets rotate altogether a total of 2000.466 rotations.
Here are the names and rotation periods (expressed in Earth days) of Sun, Moon, and The Prograde Planets:- The Sun 24.66225 and the Moon 27.32166 and Mercury 58.6462 and Venus has retrograde rotation, and is therefore excluded, and Earth 0.9972697 and Mars 1.02596 and Jupiter 0.41354 and Saturn 0.44401 and Uranus has retrograde rotation, and is therefore excluded, and Neptune 0.671252 and Pluto has retrograde rotation, and is therefore excluded.
(243.0187 ÷ 24.66225) + (243.0187 ÷ 27.32166) + (243.0187 ÷ 58.6462) + (243.0187 ÷ 0.9972697) + (243.0187 ÷ 1.02596) + (243.0187 ÷ 0.41354) + (243.0187 ÷ 0.44401) + (243.0187 ÷ 0.671252) = 2000.466
To verify prograde/retrograde rotation (retrograde rotation planets have the letter R directly preceding their rotation period), and to verify the above rotation 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
Also, during this time period (of 243.0187 Earth days), Mars and its Primary Satellite rotate altogether a total of 998.9 rotations.
Mars rotation period = 1.02596 Earth days; and Mars’ Primary (ie:- largest) Satellite is Phobos, whose rotation period (which is equal to its orbital period, due to “tidal locking”) = 0.3189 Earth days.
To verify satellite sizes, and to verify the above rotation 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
(243.0187 ÷ 1.02596) + (243.0187 ÷ 0.3189) = 998.9 rotations.
(B). Here is an example involving The Moon.
The SUM of the revolution periods of the Lunar Node and the Lunar Perigee exceeds The Lunar Month by 10,000.33736 Earth days.
The statistical odds against a single specific randomly generated large number being this close to a perfect multiple of TEN THOUSAND are one chance in 14,800.
1 ÷ [(0.33736 x 2) ÷ 10,000] = 14,820
The revolution period of The Lunar Node = 6798.375113 Earth days; and The revolution period of The Lunar Perigee = 3231.492837 Earth days.
To verify these periods, go to the following web page:- www.solarsystemtimeperiods.com/lunar-perigee
The Lunar Month = The Moon’s synodic period = 29.5305882 Earth days. To verify this, go to the following web page:- www.solarsystemtimeperiods.com/planet-synodic
6798.375113 + 3231.492837 minus 29.5305882 = 10,000.337
Here are some general examples.
(C). The SUM of the synodic revolution and synodic rotation periods of The Four SLOW ROTATING Inner Solar System Bodies = 1001.098 Earth days.
Here are the names of The Four SLOW ROTATING (ie:- with LONG rotation periods) Inner Solar System Bodies:- The Sun, The Moon, Mercury, and Venus.
To verify this, go to the following web page:-
www.solarsystemtimeperiods.com/planet-orbital
Here are their synodic revolution periods (expressed in Earth days). The Sun only rotates, but does not revolve; and the Moon 29.5305882 and Mercury 115.8774 and Venus 583.9205
To verify these periods, go to the following web page- www.solarsystemtimeperiods.com/planet-synodic
Here are their synodic rotation periods (expressed in Earth days). The Sun 26.44803 and the Moon 29.5305882 (The same as its synodic revolution period, due to “tidal locking”) and Mercury 69.8636 and Venus 145.9276
To verify these periods, go to the following web page:- www.solarsystemtimeperiods.com/syn-rot
29.5305882 + 115.8774 + 583.9205 + 26.44803 + 29.5305882 + 69.8636 + 145.9276 = 1001.098 Earth days.
(D). The SUM of the orbital and rotation periods of the planets out as far as (and including) Jupiter = 5999.6 Earth days.
Here are the names and orbital periods (expressed in Earth days) of the planets out to Jupiter:- Mercury 87.9694 and Venus 224.695 and Earth 365.256 and Mars 686.98 and Jupiter 4330.595
Here are the names and rotation periods (expressed in Earth days) of the planets out to Jupiter:- Mercury 58.6462 and Venus 243.0187 and Earth 0.9972697 and Mars 1.02596 and Jupiter 0.41354
87.9692 + 224.695 + 365.256 + 686.98 + 4330.595 + 58.6462 + 243.0187 + 0.9972697 + 1.02596 + 0.41354 = 5999.6 Earth days.
To verify these 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
(E). Mars and Jupiter are neighbour planets.
Mars’ orbital period = 669.597 Mars sidereal days; and Jupiter’s orbital period = 4330.595 Earth days.
The SUM of these two numbers = 5,000.192
Mars orbital period = 686.980 Earth days; and Mars (sidereal) rotation period (ie:- Mars’ sidereal day) = 1.02596 Earth days.
(686.980 ÷1.02596) = 669.597 Mars sidereal days.
669.5975 + 4330.595 = 5,000.192
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
(F). The Lunar Node passes the Lunar Perigee every 3566.882276 Earth days. During this time period, The Two Mars Satellites (Phobos and Deimos) revolve synodically altogether a total of 13,999.598 revolutions.
The Lunar Node revolution period = 6798.375113 Earth days, and The Lunar Perigee revolution period = 3231.492837 Earth days.
The synodic revolution periods (expressed in Earth days) of The Two Mars Satellites are:- Phobos 0.319058343 and Deimos 1.264764923
6798.375113 minus 3231.492837 = 3566.882276 Earth days. (because The Lunar Node and The Lunar perigee revolve in opposite directions.)
(3566.882276 ÷ 0.319058343) + (3566.882276 ÷ 1.264764923) = 13,999.598 revolutions.
For periods and verification for Lunar Node and Perigee, refer to item B above. The Lunar Node and Lunar Perigee revolve in opposite directions. To verify this, go to the following web page (Note the minus sign associated with The Moon’s Ascending Node.)
www.solarsystemtimeperiods.com/lunar-perigee
To verify The synodic revolution periods of The Two Mars Satellites, go to the following web page:- www.solarsystemtimeperiods.com/syn-rot
(F). Mars’ orbital period = 686.980 Earth days, or 669.5973 Mars sidereal days.
The PRODUCT of these two numbers = 459,999.9
The Mars sidereal day (ie:- Mars’ sidereal rotation period) = 1.02596 Earth days.
686.98 ÷ 1.02596 = 669.5973 Mars sidereal days
686.98 x 669.5973 = 459,999.9
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