THE RIGHT ANGLE REMAINDER RULE, FORMAT FIVE. DEMONSTRATIONS.
MERCURY also has its movements synchronized with the movements of many Solar System Bodies, in an “impossible” manner. Here are a few examples.
Example 1. During TWO Mercury Rotation Periods, Jupiter’s Four Large (Galilean) Satellites revolve altogether a total of 44190.2 degrees, which is equivalent to 122 complete revolutions plus A REMAINDER of THREE RIGHT ANGLES (error 0.189 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth days.
TWO Mercury Rotation Periods = 58.6462 x 2 = 117.2924 Earth days.
Here are the orbital periods (expressed in Earth days) of Jupiter’s Four Large “Galilean” Satellites:- Io 1.769137786 and Europa 3.551181041 and Ganymede 7.15455296 and Callisto 16.6890184
(117.2924 ÷ 1.769137786) + (117.2924 ÷ 3.551181041) + (117.2924 ÷ 7.15455296) + (117.2924 ÷ 16.6890184) = 122.7505 revolutions (which is equivalent to 122.7505 x 360 = 44190.2 degrees).
0.7505 x 360 = 270.189 degrees.
270 degrees = 3 right angles.
Error = 270.189 minus 270 = 0.189 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Orbital Periods of Jupiter’s Four Large “Galilean” Satellites, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify Satellite Sizes, click on this link (See radius and mass columns in the table):-
www.solarsystemtimeperiods.com/planet-orbital
Example 2. During One Mercury Rotation Period, The Five Large Satellites of Uranus revolve altogether a total of 32401.16 degrees, which is equivalent to 89 complete revolutions plus A REMAINDER of FOUR RIGHT ANGLES (error 1.16 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth days.
Here are the orbital periods (expressed in Earth days) of Uranus’ Five Large Satellites:- Miranda 1.4134840 and Ariel 2.52037932 and Umbriel 4.1441765 and Titania 8.7058703 and Oberon 13.4632423
(58.6462 ÷ 1.4134849) + (58.6462 ÷ 2.52037932) + (58.6462 ÷ 4.1441765) + (58.6462 ÷ 8.7058703) + (58.6462 ÷ 13.4632423) = 90.0032 revolutions (which is equivalent to 90.0032 x 360 = 32401.16 degrees).
90.0032 minus 89 = 1.0032 revolutions.
1.0032 x 360 = 361.16 degrees.
Error = 361.16 minus 360 = 1.16 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Orbital Periods of Uranus’ Five Large Satellites, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify Satellite Sizes, click on this link (See radius and mass columns in the table):
www.solarsystemtimeperiods.com/planet-orbital
Example 3. During One Mercury Rotation Period, The Three Inner Solar System Satellites (The Moon, and The Two Mars Satellites – Phobos and Deimos) revolve altogether a total of 83698.8 degrees, which is equivalent to 232 complete revolutions plus A REMAINDER of TWO RIGHT ANGLES (error 1.16 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth Days.
Here are the orbital periods, expressed in Earth days, of The Three Inner Solar System Satellites:- The Moon 27.321661 and Phobos 0.31891023 and Deimos 1.2624407
(58.6462 ÷ 27.321661) + (58.6462 ÷ 0.31891023) + (58.6462 ÷ 1.2624407) = 232.49676 revolutions (which is equivalent to 232.49676 x 360 = 83698.8 degrees).
0.49676 x 360 = 178.8351 degrees.
180 degrees = 2 right angles.
Error = 180 minus 178.8351 = 1 16 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Orbital Periods of The Moon, Phobos, and Deimos, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify The Inner Solar System Satellites (ie:- satellites inferior to Jupiter), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 4. During One Mercury Rotation Period, Jupiter and its Four Small “Inner” (Amalthean) Satellites revolve altogether a total of 216091.6 degrees, which is equivalent to 600 complete revolutions plus A REMAINDER of ONE RIGHT ANGLE (error 1.63 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth Days.
Here are the orbital periods, expressed in Earth days, of Jupiter and its Four Small “Inner” (Amalthean) Satellites:- Jupiter 4330.595 and Metis 0.294780 and Adrastea 0.298260 and Amalthea 0.498179 and Thebe 0.674536
(58.6462 ÷ 4330.595) + (58.6462 ÷ 0.294780) + (58.6462 ÷ 0.298260) + (58.6462 ÷ 0.498179) + (58.6462 ÷ 0.674536) = 600.2545 revolutions (which is equivalent to 600.2545 x 360 = 216091.6 degrees).
0.2545 x 360 = 91.63 degrees.
Error = 91.63 minus 90 = 1.63 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Orbital Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify Orbital Periods of Jupiter’s Four Small “Inner” (Amalthean) Satellites, click on this link:-
www.solarsystemtimeperiods.com/jup-inner
To verify Satellite Sizes (See radius and mass columns in the table.), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 5. During TWO Mercury Rotation Periods, The Four Satellites of (Binary Planet) Pluto/Charon revolve altogether a total of 6211.2 degrees, which is equivalent to 17 complete revolutions plus A REMAINDER of ONE RIGHT ANGLE (error 1.22 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth Days.
TWO Mercury Rotation Periods = 58.6462 x 2 = 117.2924 Earth days.
Here are the orbital periods, expressed in Earth days, of The Four Satellites of (Binary Planet) Pluto/Charon:- Styx 20.16155 and Nix 24.85463 and Kerberos 32.16756 and Hydra 38.20177
(117.2924 ÷ 20.16155) + (117.2924 ÷ 24.85463) + (117.2924 ÷ 32.16756) + (117.2924 ÷ 38.20177) = 17.2534 revolutions (which is equivalent to 17.2534 x 360 = 6211.2 degrees).
0.2534 x 360 = 91.22 degrees.
Error = 91.22 minus 90 = 1.22 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Orbital Periods of The Four Satellites of (Binary Planet) Pluto/Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 6. During One Mercury Rotation Period, Saturn and its Eight LARGE Satellites rotate altogether a total of 110522.11 degrees, which is equivalent to 306 complete rotations plus A REMAINDER of FOUR RIGHT ANGLES (error 2.1 degrees). (Note:- Hyperion is excluded from this calculation because its rotation is listed as “chaotic”.)
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth Days.
Here are the rotation periods (expressed in Earth days) of Saturn and its Eight Large Satellites:- Saturn 0.44401 and Mimas 0.942421813 and Enceladus 1.370217855 and Tethys 1.887802160 and Dione 2.736914742 and Rhea 4.517500436 and Titan 15.94542068 and Hyperion “chaotic rotation” – and therefore excluded from this calculation, and Iapetus 79.3301825
(58.6462 ÷ 0.44401) + (58.6462 ÷ 0.942421813) + (58.6462 ÷ 1.370217855) + (58.6462 ÷ 1.887802160) + (58.6462 ÷ 2.736914742) + (58.6462 ÷ 4.517500436) + (58.6462 ÷ 15.94542068) + (58.6462 ÷ 21.2766088) + (58.6462 ÷ 79.3301825) = 307.0059 rotations (which is equivalent to 307.0059 x 360 = 110522.11 degrees).
307.0059 minus 306 = 1.0059 rotations.
1.0059 x 360 = 362.1 degrees.
Error = 362.1 minus 360 = 2.1 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Periods of The Eight Large Satellites of Saturn (which are the same as their orbital periods, due to “tidal locking”), click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify The Rotation Period of Saturn, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify Satellite Sizes (See mass and radius columns in the table.), and also to verify that satellite rotation periods are the same as their orbital periods (See the letter S, standing for “same”, in the rotation periods column.), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify Hyperion’s “chaotic” rotation, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 7. During One Mercury Rotation Period, “The Two Ice Giants” (Uranus and Neptune) and their Large Satellites rotate altogether a total of 96837.56 degrees, which is equivalent to 268 complete rotations plus A REMAINDER of FOUR RIGHT ANGLES (error 2.44 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth Days.
Here are the rotation periods (expressed in Earth days) of “The Two Ice Giants” (Uranus and Neptune) and their Large Satellites:- Uranus 0.71833 and (The Five Large Uranus Satellites) Miranda 1.4134840 and Ariel 2.52037932 and Umbriel 4.1441765 and Titania 8.7058703 and Oberon 13.4632423 and Neptune 0.671252 and (Neptune’s single large satellite) Triton 5.8768441
(58.6462 ÷ 0.71833) + (58.6462 ÷ 1.4134840) + (58.6462 ÷ 2.52037932) + (58.6462 ÷ 4.1441765) + (58.6462 ÷ 8.7058703) + (58.6462 ÷ 13.4632423) + (58.6462 ÷ 0.671252) + (58.6462 ÷ 5.8768441) = 268.9932 rotations (which is equivalent to 268.9932 x 360 = 96837.56 degrees).
0.9932 x 360 = 357.56 degrees.
Error = 360 minus 357.56 = 2.44 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Periods of The Large Satellites of Uranus and Neptune (which are the same as their orbital periods, due to “tidal locking”), click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify The Rotation Periods of Uranus and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify Satellite Sizes (See the radius and mass columns in the table.), and also to verify that satellite rotation periods are the same as their orbital periods (See the letter S, standing for “same”, in the rotation period column in the table.), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 8. During TWO Mercury Rotation Periods, The Four Inner Solar System Non-Planetary Bodies (Sun, Moon, and The Two Mars Satellites – Phobos and Deimos) rotate altogether a total of 169109.8 degrees, which is equivalent to 469 complete rotations plus A REMAINDER of THREE RIGHT ANGLES (error 0.188 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth Days.
TWO Mercury Rotation Periods = 58.6462 x 2 = 117.2924 Earth days.
Here are the rotation periods, expressed in Earth days) of The Four Inner Solar System Non-Planetary Bodies (Sun, Moon, and The Two Mars Satellites – Phobos and Deimos):- Sun 24.66225 and Moon 27.321661 and Phobos 0.31891023 and Deimos 1.2624407
(117.2924 ÷ 24.66225) + (117.2924 ÷ 27.321661) + (117.2924 ÷ 0.31891023) + (117.2924 ÷ 1.2624407) = 469.74948 rotations (which is equivalent to 469.74948 x 360 = 169109.8 degrees).
0.74948 x 360 = 269.812 degrees.
270 degrees = 3 right angles.
Error = 270 minus 269.812 = 0.188 degrees.
To verify The Rotation Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of The Sun, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Periods of The Moon, Phobos and Deimos (which are the same as their orbital periods, due to “tidal locking”), click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify that satellite rotation periods are the same as their orbital periods (See the letter S, standing for “same” in the rotation period column.), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 9. During TWO Mercury Rotation Periods, The Six FAST-ROTATING Planets rotate altogether a total of 402392.66 degrees, which is equivalent to 1117 complete rotations plus A REMAINDER of THREE RIGHT ANGLES (error 2.66 degrees).
DEMONSTRATION:- Mercury’s Rotation Period = 58.6462 Earth Days.
TWO Mercury Rotation Periods = 58.6462 x 2 = 117.2924 Earth days.
Here are the names and rotation periods, expressed in Earth days, of The Six FAST-ROTATING Planets:- Earth 0.997269663 and Mars 1.025957 and Jupiter 0.41353831 and Saturn 0.44401 and Uranus 0.71833 and Neptune 0.671252 (Mercury, Venus, and Pluto are SLOW-ROTATING Planets. Their respective rotation periods, expressed in Earth days, are:- 58.6462 and 243.0287 and 6.387230)
(117.2924 ÷ 0.997269663) + (117.2924 ÷ 1.025957) + (117.2924 ÷ 0.41353831) + (117.2924 ÷ 0.44401) + (117.2924 ÷ 0.71833) + (117.2924 ÷ 0.671252) = 1117.7574 rotations (which is equivalent to 1117.7574 x 360 = 402392.66 degrees).
0.7574 x 360 = 272.66 degrees.
270 degrees = 3 right angles.
Error = 272.66 minus 270 = 2.66 degrees.
To verify The Rotation Periods of Mercury and Venus, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Earth, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Periods of Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot