THE RIGHT ANGLE REMAINDER RULE – FORMAT THREE.
The Inner Solar System contains just THREE Satellites – Earth satellite – The Moon, and Mars satellites Phobos and Deimos. A satellite “day” is the length of time between successive risings of the satellite on a fixed horizon of the parent planet. The Lunar (ie:- Moon) Day = 1.0350501 Earth days. The Phobosic Day = 0.462753 Earth days. The Deimosic Day = 5.476952 Earth days.
Example 1. During One Lunar Day, The Sun and The Nine Planets rotate altogether a total of 3690.597 degrees, which is equivalent to 10 complete rotations plus A REMAINDER of ONE RIGHT ANGLE (error 0.597 degrees).
DEMONSTRATION:- One Lunar Day = 1.0350501 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Sun and The Nine Planets:- The Sun 24.66225 and 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 and (binary planet) Pluto/Charon – Pluto 6.387230 and Charon 6.387230
(1.0350501 ÷ 24.66225) + (1.0350501 ÷ 58.6462) + (1.0350501 ÷ 243.0187) + (1.0350501 ÷ 0.997269663) + (1.0350501 ÷ 1.025957) + (1.0350501 ÷ 0.41353831) + (1.0350501 ÷ 0.44401) + (1.0350501 ÷ 0.71833) + (1.0350501 ÷ 0.671252) + (1.0350501 ÷ 6.387230) + (1.0350501 ÷ 6.387230) = 10.25166 rotations (which is equivalent to 10.25166 x 360 = 3690.597 degrees).
0.25166 x 360 = 90.597 degrees.
90 degrees = 1 right angle.
Error = 90.597 minus 90 = 0.597 degrees.
To verify The Lunar Day, click on this link:-
www.solarsystemtimeperiods.com/days
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of The Sun, Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Periods of Pluto and Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 2. The Phobosic Day = 0.462753 Earth days. During One Phobosic Day, The Nine Planets rotate altogether a total of 1617.165 degrees, which is equivalent to 4 complete rotations plus A REMAINDER of TWO RIGHT ANGLES (error 2.83 degrees).
DEMONSTRATION:- One Phobosic Day = 0.462753 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Nine Planets:- 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 and Pluto 6.387230
(0.462753 ÷ 58.6462) + (0.462753 ÷ 243.0187) + (0.462753 ÷ 0.997269663) + (0.462753 ÷ 1.025957) + (0.462753 ÷ 0.41353831) + (0.462753 ÷ 0.44401) + (0.462753 ÷ 0.71833) + (0.462753 ÷ 0.671252) + (0.462753 ÷ 6.387230) = 4.492126 rotations (which is equivalent to 4.492126 x 360 = 1617.165 degrees.
0.492126 x 360 = 177.165 degrees.
180 degrees = 2 right angles.
Error = 180 minus 177.165 = 2.83 degrees.
To verify The Phobosic Day, click on this link:-
www.solarsystemtimeperiods.com/days
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 3. The Deimosic Day = 5.476952 Earth days. During One Deimosic Day, The Sun and The Nine Planets rotate altogether a total of 19528.734461 degrees, which is equivalent to 54 complete rotations plus A REMAINDER of ONE RIGHT ANGLE (error 1.26 degrees).
DEMONSTRATION:- One Deimosic Day = 5.476952 Earth days.
TWO Earth Rotation Periods = 0.997269663 x 2 = 1.994539326 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Sun and The Nine Planets:- The Sun 24.66225 and 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 and (binary planet) Pluto/Charon – Pluto 6.387230 and Charon 6.387230
(5.476952 ÷ 24.66225) + (5.476952 ÷ 58.6462) + (5.476952 ÷ 243.0187) + (5.476952 ÷ 0.997269663) + (5.476952 ÷ 1.025957) + (5.476952 ÷ 0.41353831) + (5.476952 ÷ 0.44401) + (5.476952 ÷ 0.71833) + (5.476952 ÷ 0.671252) + (5.476952 ÷ 6.387230) + (5.476952 ÷ 6.387230) = 54.246485 rotations (which is equivalent to 54.246485 x 360 = 19528.734461 degrees).
0.246485 x 360 = 88.7346 degrees.
90 degrees = 1 right angle.
Error = 90 minus 88.7346 = 1.26 degrees.
To verify The Deimosic Day, click on this link:-
www.solarsystemtimeperiods.com/days
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Periods of Pluto and Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 4. Deimos’ Orbital Period = 1.2624407 Earth days.
During One Deimos Orbital Period, The Nine Planets rotate altogether a total of 4411.801 degrees, which is equivalent to 12 complete rotations plus A REMAINDER of ONE RIGHT ANGLE (error 1.8 degrees.)
DEMONSTRATION:- Deimos’ Orbital Period = 1.2624407 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Nine Planets:- 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 and Pluto 6.387230
(1.2624407 ÷ 58.6462) + (1.2624407 ÷ 243.0187) + (1.2624407 ÷ 0.997269663) + (1.2624407 ÷ 1.025957) + (1.2624407 ÷ 0.41353831) + (1.2624407 ÷ 0.44401) + (1.2624407 ÷ 0.71833) + (1.2624407 ÷ 0.671252) + (1.2624407 ÷ 6.387230) = 12.2550029 rotations (which is equivalent to 12.2550029 x 360 = 4411.801
0.2550029 x 360 = 91.80 degrees.
90 degrees = 1 right angle.
Error = 91.80 minus 90 = 1.8 degrees.
To verify Deimos’ Orbital Period, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 5. The Moon’s Orbital Period = 27.321661 Earth days.
During One Moon Orbital Period, The Nine Planets rotate altogether a total of 97019.8892 degrees (which is equivalent to 269 complete rotations plus A REMAINDER of TWO RIGHT ANGLES (error 0.11 degrees).
DEMONSTRATION:- The Moon’s Orbital Period = 27.321661 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Nine Planets:- 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 and (binary planet) Pluto/Charon – Pluto 6.387230 and Charon 6.387230
(27.321661 ÷ 58.6462) + (27.321661 ÷ 243.0187) + (27.321661 ÷ 0.997269663) + (27.321661 ÷ 1.025957) + (27.321661 ÷ 0.41353831) + (27.321661 ÷ 0.44401) + (27.321661 ÷ 0.71833) + (27.321661 ÷ 0.671252) + (27.321661 ÷ 6.387230) + (27.321661 ÷ 6.387230) = 269.49969 rotations (which is equivalent to 269.49969 x 360 = 97019.8892 degrees).
0.49969 x 360 = 179.889 degrees.
180 degrees = 2 right angles.
Error = 180 minus 179.889 = 0.11 degrees.
To verify The Moon’s Orbital Period, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Periods of Pluto and Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 6. During TWO Earth Rotation Periods, The Sun and the Nine Planets rotate altogether a total of 7111.773 degrees, which is equivalent to 19 complete rotations plus A REMAINDER of THREE RIGHT ANGLES (error 1.773 degrees).
DEMONSTRATION:- Earth’s Rotation Period = 0.997269663 Earth days.
TWO Earth Rotation Periods = 0.997269663 x 2 = 1.994539326 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Sun and The Nine Planets:- The Sun 24.66225 and 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 and (binary planet) Pluto/Charon – Pluto 6.387230 and Charon 6.387230
(1.994539326 ÷ 24.66225) + (1.994539326 ÷ 58.6462) + (1.994539326 ÷ 243.0187) + (1.994539326 ÷ 0.997269663) + (1.994539326 ÷ 1.025957) + (1.994539326 ÷ 0.41353831) + (1.994539326 ÷ 0.44401) + (1.994539326 ÷ 0.71833) + (1.994539326 ÷ 0.671252) + (1.994539326 ÷ 6.387230) + (1.994539326 ÷ 6.387230) = 19.7549245 rotations (which is equivalent to 19.7549245x 360 = 7111.773 degrees
0.7549245 x 360 = 271.773 degrees.
270 degrees = 3 right angles.
Error = 271.773 minus 270 = 1.773 degrees.
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of The Sun, Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Periods of Pluto and Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 7. Mars’ Rotation Period = 1.025957 Earth days.
During One Mars Rotation Period, The Sun and The Nine Planets rotate altogether a total of 3600.349 degrees, which is equivalent to 9 complete rotations plus A REMAINDER of FOUR RIGHT ANGLES (error 0.35 degrees).
DEMONSTRATION:- Mars’ Rotation Period = 1.025957 Earth days.
Here are the rotation periods (expressed in Earth days) of The Sun and The Planets:- Sun 24.66225 and 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 and Pluto 6.387230
(1.025957 ÷ 24.66225) + (1.025957 ÷ 58.6462) + (1.025957 ÷ 243.0187) + (1.025957 ÷ 0.997269663) + (1.025957 ÷ (1.025957) + (1.025957 ÷ 0.41353831) + (1.025957 ÷ 0.44401) + (1.025957 ÷ 0.71833) + (1.025957 ÷ 0.671252) + (1.025957 ÷ 6.387230) = 10.00097 rotations (equivalent to 10.00097 x 360 = 3600.349 degrees).
10.00097 minus 9 = 1.00097 rotations.
1.00097 x 360 = 360.35 degrees.
Error = 360.35 minus 360 = 0.35 degrees.
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Periods of The Sun, Mercury, Venus, Saturn, Uranus, and Neptune 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 Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 8. Uranus’ Rotation Period = 0.71833 Earth days.
During One Uranus Rotation Period, The Sun and The Nine Planets rotate altogether a total of 2520.806 degrees, which is equivalent to 6 complete rotations plus A REMAINDER of FOUR RIGHT ANGLES (error 0.8 degrees).
DEMONSTRATION:- Uranus’ Rotation Period = 0.71833 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Sun and The Nine Planets:- The Sun 24.66225 and 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 and Pluto 6.387230
(0.71833 ÷ 24.66225) + (0.71833 ÷ 58.6462) + (0.71833 ÷ 243.0187) + (0.71833 ÷ 0.997269663) + (0.71833 ÷ 1.025957) + (0.71833 ÷ 0.41353831) + (0.71833 ÷ 0.44401) + (0.71833 ÷ 0.71833) + (0.71833 ÷ 0.671252) + (0.71833 ÷ 6.387230) = 7.0022395 rotations (which is equivalent to 7.0022395 x 360 = 2520.806 degrees).
7.0022395 minus 6 = 1.0022395 rotations.
1.0022395 x 360 = 360.8 degrees.
360 degrees = 4 right angles.
Error = 360.8 minus 360 = 0.8 degrees.
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of The Sun, Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 9. The LARGEST Satellite in The Solar System is (Jupiter Satellite) Ganymede. It is larger (in terms of radius) than Mercury (but with less mass than Mercury).
Ganymede’s Orbital Period = 7.15455296 Earth days.
During One Ganymede orbital period, The Sun and The Nine Planets rotate altogether a total of 25107.181 degrees, which is equivalent to 69 complete rotations plus A REMAINDER of THREE RIGHT ANGLES (error 2.8 degrees).
DEMONSTRATION:- Here are the names and rotation periods (expressed in Earth days) of The Sun and The Nine Planets:- The Sun 24.66225 and 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 and Pluto 6.387230
(7.15455296 ÷ 24.66225) + (7.15455296 ÷ 58.6462) + (7.15455296 ÷ 243.0187) + (7.15455296 ÷ 0.997269663) + (7.15455296 ÷ 1.025957) + (7.15455296 ÷ 0.41353831) + (7.15455296 ÷ 0.44401) + (7.15455296 ÷ 0.71833) + (7.15455296 ÷ 0.671252) + (7.15455296 ÷ 6.387230) = 69.742169 rotations (which is equivalent to 69.742169 x 360 = 25107.181 degrees.
0.742169 x 360 = 267.18 degrees.
270 degrees = 3 right angles.
Error = 270 minus 267.18 = 2.8 degrees.
To verify Ganymede’s Orbital Period, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify that Ganymede is the LARGEST Satellite in The Solar System (Look in mass and radius columns in the table.), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of The Sun, Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 10. The LARGEST Asteroid is Ceres.
Ceres’ Rotation Period = 9.075 hours, which is 0.378135 Earth days.
During One Ceres Rotation Period, The Sun and the Nine Planets rotate altogether a total of 1348.25 degrees, which is equivalent to 3 complete rotations plus A REMAINDER of THREE RIGHT ANGLES (Error = 1.75 degrees).
DEMONSTRATION:- Ceres’ Rotation Period = 9.075 hours, which is 0.378135 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Sun and The Nine Planets:- The Sun 24.66225 and 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 and (Binary Planet) Pluto/Charon – Pluto 6.387230 and Charon 6.387230
(0.378125 ÷ 24.66225) + (0.378125 ÷ 58.6462) + (0.378125 ÷ 243.0187) + (0.378125 ÷ 0.997269663) + (0.378125 ÷ 1.025957) + (0.378125 ÷ 0.41353831) + (0.378125 ÷ 0.44401) + (0.378125 ÷ 0.71833) + (0.378125 ÷ 0.671252) + (0.378125 ÷ 6.387230) + (0.378125 ÷ 6.387230) = 3.745141 rotations (which is equivalent to 3.745141 x 360 = 1348.25 degrees).
0.745141 x 360 = 268.250 degrees.
270 degrees = 3 right angles.
Error = 270 minus 268.250 = 1.75 degrees.
To verify The Rotation Period of Ceres, and to verify that Ceres is the LARGEST Asteroid, click on this link:-
www.solarsystemtimeperiods.com/asteroids
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of The Sun, Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Periods of Pluto and Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 11. The Sun’s Rotation Period = 24.66225 Earth days.
During One Sun Rotation Period, The Nine Planets revolve altogether a total of 181.08 degrees, which is equivalent to TWO RIGHT ANGLES (error 1.08 degrees).
DEMONSTRATION:- The Sun’s Rotation Period = 24.66225 Earth days.
Here are the orbital periods (expressed in Earth Days) of The Nine Planets:- Mercury 87.9692 and Venus 224.70067 and Earth 365.25636 and Mars 686.9782 and Jupiter 4330.595 and Saturn 10727.160 and Uranus 30717.682 and Neptune 60215.912 and Pluto 90803.66
(24.66225 ÷ 87.9692) + (24.66225 ÷ 224.70067) + (24.66225 ÷ 365.25636) + (24.66225 ÷ 686.9782) + (24.66225 ÷ 4330.595) + (24.66225 ÷ 10727.160) + (24.66225 ÷ 30717.682) + (24.66225 ÷ 60215.912) + (24.66225 ÷ 90803.66) = 0.503005 revolutions (which is equivalent to 0.503005 x 360 = 181.08 degrees).
180 degrees = 2 right angles.
Error = 181.08 minus 180 = 1.08 degrees.
To verify The Rotation Period of The Sun, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Orbital Periods of Mercury, Venus, and Mars, click on this link:-
www.solarsystemtimeperiods.com/orbital
To verify The Orbital Period of Earth, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Orbital Periods of Jupiter, Saturn, Uranus, Neptune, and Pluto, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 12. Pluto’s Rotation Period = 6.387230 Earth days.
During One Pluto Rotation Period, The Nine Planets ROTATE altogether a total of 22321.2 degrees, which is equivalent to 61 complete rotations plus A REMAINDER of FOUR RIGHT ANGLES (error 1.21 degrees);
and also:-
Pluto’s Orbital Period = 90803.66 Earth days.
During One Pluto Orbital Period, The Nine Planets REVOLVE altogether a total of 666722.96 degrees, which is equivalent to 1851 complete revolutions plus A REMAINDER of FOUR RIGHT ANGLES (error 2.957 degrees).
DEMONSTRATION:- Pluto Rotation Period = 6.387230 Earth days.
Here are the rotation periods (expressed in Earth days) of The Nine Planets:- 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 and Pluto 6.387230
(6.387230 ÷ 58.6462) + (6.387230 ÷ 243.0187) + (6.387230 ÷ 0.997269663) + (6.387230 ÷ 1.025957) + (6.387230 ÷ 0.41353831) + (6.387230 ÷ 0.44401) + (6.387230 ÷ 0.71833) + (6.387230 ÷ 0.671252) + (6.387230 ÷ 6.387230) = 62.003363 rotations (which is equivalent to 62.003363 x 360 = 22321.21 degrees).
62.003363 minus 61 = 1.003363 rotations.
1.003363 x 360 = 361.21 degrees.
Error = 361.21 minus 360 = 1.21 degrees.
And also:- DEMONSTRATION:- Pluto Orbital Period = 90803.66 Earth days.
Here are the orbital periods (expressed in Earth days) of The Nine Planets:- Mercury 87.9692 and Venus 224.70067 and Earth 365.25636 and Mars 686.9782 and Jupiter 4330.595 and Saturn 10727.160 and Uranus 30717.682 and Neptune 60215.912 and Pluto 90803.66
(90803.66 ÷ 87.9692) + (90803.66 ÷ 224.70067) + (90803.66 ÷ 365.25636) + (90803.66 ÷ 686.9782) + (90803.66 ÷ 4330.595) + (90803.66 ÷ 10727.160) + (90803.66 ÷ 30717.682) + (90803.66 ÷ 60215.912 + (90803.66 ÷ 90803.66) = 1852.0082 rotations (which is equivalent to 1852.0082 x 360 = 666722.9569 degrees).
1852.0082 minus 1851 = 1.0082 revolutions.
1.0082 x 360 = 362.957 degrees.
Error = 362.957 minus 360 = 2.957 degrees.
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, 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 Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
To verify The Orbital Periods of Mercury, Venus, and Mars, click on this link:-
www.solarsystemtimeperiods.com/orbital
To verify The Orbital Period of Earth, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Orbital Periods of Jupiter, Saturn, Uranus, Neptune, and Pluto, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 13. Neptune’s Rotation Period = 0.671252 Earth days.
During TWO Neptune Rotation Periods, The Nine Planets rotate altogether a total of 4767.26467 degrees, which is equivalent to 13 complete rotations plus A REMAINDER of ONE RIGHT ANGLE (error 2.735 degrees).
DEMONSTRATION:- Neptune’s Rotation Period = 0.671252 Earth days.
TWO Neptune Rotation Periods = 0.671252 x 2 = 1.342504 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Nine Planets:- 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 and (binary planet) Pluto/Charon – Pluto 6.387230 and Charon 6.387230
(1.342504 ÷ 58.6462) + (1.342504 ÷ 243.0187) + (1.342504 ÷ 0.997269663) + (1.342504 ÷ 1.025957) + (1.342504 ÷ 0.41353831) + (1.342504 ÷ 0.44401) + (1.342504 ÷ 0.71833) + (1.342504 ÷ 0.671252) + (1.342504 ÷ 6.387230) + (1.342504 ÷ 6.387230) = 13.242402 rotations (which is equivalent to 13.242402 x 360 = 4767.26467 degrees.
0.242402 x 360 = 87.26467 degrees.
90 degrees = 1 right angle.
Error = 90 minus 87.26467 = 2.735 degrees.
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Periods of Pluto and Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 14. Uranus’ LARGEST Satellite is Titania.
Titania’s Orbital Period = 8.7058703 Earth days.
During TWO Titania Orbital Periods, The Nine Planets rotate altogether a total of 61829.518 degrees, which is equivalent to 171 complete rotations plus A REMAINDER of THREE RIGHT ANGLES (Error = 0.48 degrees).
DEMONSTRATION:- Titania’s Orbital Period = 8.7058703 Earth days.
TWO Titania Orbital Periods = 8.7058703 x 2 = 17.4117406 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Nine Planets:- 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 and (Binary Planet) Pluto/Charon – Pluto 6.387230 and Charon 6.387230
(17.4117406 ÷ 58.6462) + (17.4117406 ÷ 243.0187) + (17.4117406 ÷ 0.997269663) + (17.4117406 ÷ 1.025957) + (17.4117406 ÷ 0.41353831) + (17.4117406 ÷ 0.44401) + (17.4117406 ÷ 0.71833) + (17.4117406 ÷ 0.671252) + (17.4117406 ÷ 6.387230) + (17.4117406 ÷ 6.387230) = 171.74866 rotations (which is equivalent to 171.74866 x 360 = 61829.518 degrees).
0.74866 x 360 = 269.52 degrees.
270 degrees = 3 right angles.
Error = 270 minus 269.52 = 0.48 degrees.
To verify Titania’s Orbital Period, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify that Titania is the LARGEST Satellite of Uranus (Look in mass and radius columns in the table.), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Periods of Pluto and Charon, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 15. The Lunar Node passes The Lunar Perigee every 3566.882276 Earth days.
During this time period, The Nine Planets revolve altogether a total of 26189.7185 degrees, which is equivalent to 72 complete revolutions plus A REMAINDER of THREE RIGHT ANGLES (error 0.28 degrees).
DEMONSTRATION:- The Lunar Node Revolution Period = 6798.375113 Earth days.
The Lunar Perigeal Revolution Period = 3231.492837 Earth days.
The Lunar Perigee revolves PROGRADELY, and The Lunar Node revolves RETROGRADELY. This means that they pass one another every (6798.375113 minus 3231.492837) = 3566.882276 Earth days.
Here are the orbital periods (expressed in Earth Days) of The Nine Planets:- Mercury 87.9692 and Venus 224.70067 and Earth 365.25636 and Mars 686.9782 and Jupiter 4330.595 and Saturn 10727.160 and Uranus 30717.682 and Neptune 60215.912 and Pluto 90803.66
(3566.882276 ÷ 87.9692) + (3566.882276 ÷ 224.70067) + (3566.882276 ÷ 365.25636) + (3566.882276 ÷ 686.9782) + (3566.882276 ÷ 4330.595) + (3566.882276 ÷ 10727.160) + (3566.882276 ÷ 30717.682) + (3566.882276 ÷ 60215.912) + (3566.882276 ÷ 90803.66) = 72.749218 revolutions (which is equivalent to 72.749218 x 360 = 26189.7185 degrees).
0.749218 x 360 = 269.7185 degrees.
270 degrees = 3 right angles.
Error = 270 minus 269.7185 = 0.28 degrees.
To verify The Revolution Periods of The Lunar Node and Lunar Perigee, and to verify that The Lunar Node revolves RETROGRADELY, click on this link:-
www.solarsystemtimeperiods.com/lunar-perigee
To verify The Orbital Periods of Mercury, Venus, and Mars, click on this link:-
www.solarsystemtimeperiods.com/orbital
To verify The Orbital Period of Earth, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Orbital Periods of Jupiter, Saturn, Uranus, Neptune, and Pluto, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 16. The Sun’s SYNODIC Rotation Period = 26.44803 Earth days. During this time period, The Nine Planets rotate altogether a total of 92426.92799 degrees, which is equivalent to 256 complete rotations plus A REMAINDER of THREE RIGHT ANGLES (error 3.07 degrees).
DEMONSTRATION:- The Sun’s SYNODIC Rotation Period = 26.44803 Earth days.
Here are the names and rotation periods (expressed in Earth days) of The Nine Planets:- 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 and Pluto 6.387230
(26.44803 ÷ 58.6462) + (26.44803 ÷ 243.0187) + (26.44803 ÷ 0.997269663) + (26.44803 ÷ 1.025957) + (26.44803 ÷ 0.41353831) + (26.44803 ÷ 0.44401) + (26.44803 ÷ 0.71833) + (26.44803 ÷ 0.671252) + (26.44803 ÷ 6.387230) = 256.741467 rotations (which is equivalent to 256.741467x 360 = 92426.92799 degrees).
0.741467 x 360 = 266.928 degrees.
270 degrees = 3 right angles.
Error = 270 minus 266.928 = 3.07 degrees.
To verify The Sun’s SYNODIC Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/syn-rot
To verify Earth’s Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Rotation Periods of Mercury, Venus, Saturn, Uranus, and Neptune, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/mars-rotation
To verify The Rotation Period of Jupiter, click on this link:-
www.solarsystemtimeperiods.com/jup-rot
To verify The Rotation Period of Pluto, click on this link:-
www.solarsystemtimeperiods.com/pluto-sats
Example 17. Venus’ Rotation Period = 243.0187 Earth days.
During TWO Venus rotation periods, the other planets (excluding Venus itself) revolve altogether a total of 2790.02 degrees, which is equivalent to 7 complete revolutions plus A REMAINDER of THREE RIGHT ANGLES (error 0.018 degrees).
DEMONSTRATION:- Venus’ Rotation Period = 243.0187 Earth Days.
TWO Venus Rotation Periods = 243.0187 x 2 = 486.0374 Earth Days.
Here are the orbital periods (expressed in Earth days) of The Planets:- Mercury 87.9692 and Venus (which we will exclude) 224.70067 and Earth 365.25636 and Mars 686.9782 and Jupiter 4330.595 and Saturn 10727.160 and Uranus 30717.682 and Neptune 60215.912 and Pluto 90803.66
(486.0374 ÷ 87.9692) + (486.0374 ÷ 365.25636) + (486.0374 ÷ 686.9782) + (486.0374 ÷ 4330.595) + (486.0374 ÷ 10727.160) + (486.0374 ÷ 30717.682) + (486.0374 ÷ 60215.912) + (486.0374 ÷ 90803.66) = 7.75005 rotations (which is equal to 7.75005 x 360 = 2790.02 degrees).
0.75005 x 360 = 270.018 degrees.
270 degrees = three right angles.
Error = 270.018 minus 270 = 0.018 degrees.
To verify Venus’ Rotation Period, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Orbital Period of Mercury, click on this link:-
www.solarsystemtimeperiods.com/orbital
To verify The Orbital Period of Earth, click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Orbital Period of Mars, click on this link:-
www.solarsystemtimeperiods.com/orbital
To verify The Orbital Periods of The Other Planets (ie:- Jupiter, Saturn, Uranus, Neptune, and Pluto), click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
Example 18. During TWO Earth Years, Sun, Moon, and Planets revolve altogether a total of 25652.71 degrees, which is equivalent to 71 complete revolutions plus A REMAINDER of ONE RIGHT ANGLE (error 2.7 degrees).
DEMONSTRATION:- The Earth Year (Earth’s Orbital Period) = 365.25636 Earth days.
TWO Earth Years = 365.25636 x 2 = 730.51272 Earth days.
The Sun’s “Orbital” Period (ie:- the time it takes for a fixed point on The Sun’s surface to make one complete revolution round The Sun’s centre – this being equal to the sun’s Rotation Period) = 24.66225 Earth days.
The Moon’s Orbital Period = 27.321661 Earth days.
Here are the orbital periods (expressed in Earth Days) of The Nine Planets:- Mercury 87.9692 and Venus 224.70067 and Earth 365.25636 and Mars 686.9782 and Jupiter 4330.595 and Saturn 10727.160 and Uranus 30717.682 and Neptune 60215.912 and Pluto 90803.66
(730.51272 ÷ 87.9692) + (730.51272 ÷ 224.70067) + (730.51272 ÷ 365.25636) + (730.51272 ÷ 686.9782) + (730.51272 ÷ 4330.595) + (730.51272 ÷ 10727.160) + (730.51272 ÷ 30717.682) + (730.51272 ÷ 60215.912) + (730.51272 ÷ 90803.66) + (730.51272 ÷ 24.66225) + (730.51272 ÷ 27.321661) = 71.257528 revolutions (which is equivalent to 71.257528 x 360 = 25652.71 degrees).
0.257528 x 360 = 92.7 degrees.
90 degrees = 1 right angle.
Error = 92.7 minus 90 = 2.7 degrees.
To verify The Orbital Periods of Mercury, Venus, and Mars, click on this link:-
www.solarsystemtimeperiods.com/orbital
To verify The Orbital Period of Earth (ie:-The Earth Year), click on this link:-
www.solarsystemtimeperiods.com/earth-periods
To verify The Orbital Periods of Jupiter, Saturn, Uranus, Neptune, and Pluto, click on this link:-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Rotation Period of The Sun (ie:- its “orbital” period – the period of revolution of a point on The Sun’s surface round The Sun’s centre), click on this link:-
www.solarsystemtimeperiods.com/orbital
To verify The Rotation Period of The Moon (which is the same as its orbital period, due to “tidal locking”), click on this link:-
www.solarsystemtimeperiods.com/large-sats