DEMONSTRATIONS.
(A). The Sun’s (sidereal) rotation period = 24.66225 Earth days.
TWICE The CUBE of this number =
24.662253 x 2 = 30,000.47
To verify The Sun’s (sidereal) rotation period, click on the following link, and look in the column entitled P Rotation (days)
www.solarsystemtimeperiods.com/planet-orbital
(B). The Sun’s synodic rotation period (as viewed from Earth) = 26.44803 Earth days. TWICE The CUBE of this number =
26.448033 x 2 = 37,000.7
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Earth’s orbital period = 365.256 Earth days.
The Sun’s synodic rotation period (as viewed from Earth) =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 365.256)] = 26.44803 Earth days.
To verify The Sun’s (sidereal) rotation period, and to verify Earth’s orbital period, click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days)
www.solarsystemtimeperiods.com/planet-orbital
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic
(C). The Sun’s synodic rotation period, as viewed from Mars = 24.99931 Mars sidereal days.
TWICE The CUBE of this number =
24.999313 x 2 = 31,000.59
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Mars’ orbital period = 686.98 Earth days.
The Sun’s synodic rotation period as viewed from Mars =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 686.98)] = 25.58058 Earth days.
The Mars sidereal day = Mars’ (sidereal) rotation period = 1.02596 Earth days.
25.58058 ÷ 1.02596 = 24.93331 Mars sidereal days.
To verify The Sun’s (sidereal) rotation period, and to verify Mars’ orbital period and Mars’ (sidereal) rotation period, click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days)
www.solarsystemtimeperiods.com/planet-orbital
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic
(D). Venus and Mars are Earth’s two neighbour planets.
The Sun’s synodic rotation period, as viewed from Mars = 25.58058 Earth days.
The Sun’s synodic rotation period, as viewed from Venus = 27.70288 Earth days.
The SUM of The CUBES of these two numbers =
25.580583 + 27.702883 = 37,999.6
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Mars’ orbital period = 686.98 Earth days.
The Sun’s synodic rotation period as viewed from Mars =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 686.98)] = 25.58058 Earth days.
The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Venus’ orbital period = 224.695 Earth days.
The Sun’s synodic rotation period as viewed from Venus =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 224.695)] = 27.70288 Earth days.
The SUM of The CUBES of these two numbers =
25.580583 + 27.702883 = 37,999.6
To verify The Sun’s (sidereal) rotation period, and to verify Mars’ orbital period and Venus’ orbital period (and also to verify that Mars and Venus are Earth’s two neighbour planets), click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days)
www.solarsystemtimeperiods.com/planet-orbital
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic
(E). During One Earth orbital period, The Sun rotates 14.81033 rotations.
During One Moon orbital period, The Sun rotates 1.10783 rotations.
4 x The CUBE of these two numbers =
(14.810333 + 1.107833) x 4 = 12,999.78
DEMONSTRATION:-
Earth’s orbital period = 365.256 Earth days.
The Moon’s orbital period = 27.321661 Earth days.
The Sun’s (sidereal) rotation period = 24.66225 Earth days.
365.256 ÷ 24.66225 = 14.81033 rotations.
27.321661 ÷ 24.66225 = 1.10783 rotations.
4 x The CUBE of these two numbers =
(14.810333 + 1.107833) x 4 = 12,999.78
To verify The Sun’s (sidereal) rotation period, and to verify Earth’s orbital period, click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days):-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Moon’s orbital; period, click on the following link:-
www.solarsystemtimeperiods.com/large-sats
(F). Earth and Mars are neighbour planets.
The Sun’s (sidereal) rotation period = 24.66225 Earth (solar) days.
The Sun’s (sidereal) rotation period = 24.00242 Mars (solar) days.
4 x The CUBE of the SUM of these two numbers =
[(24.66225 + 24.00242)3] x 4 = 461,000.5
DEMONSTRATION:-
The Sun’s (sidereal) rotation period = 24.66225 Earth (solar) days.
The Mars solar day (which is Mars’ synodic rotation period) is calculated in the following manner:-
The Mars sidereal day = Mars’ (sidereal) rotation period = 1.02596 Earth days.
Mars’ orbital period = 686.98 Earth days.
The Mars solar day =
1 ÷ [(1 ÷ 1.02596) MINUS (1 ÷ 686.98)] = 1.02749 Earth days.
24.66225 ÷ 1.02749 = 24.00242 Mars solar days.
4 x The CUBE of the SUM of these two numbers =
[(24.66225 + 24.00242)3] x 4 = 461,000.5
To verify The Sun’s (sidereal) rotation period, and to verify Mars’ orbital period and Mars’ (sidereal) rotation period (and also to verify that Earth and Mars are neighbour planets), click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days)
www.solarsystemtimeperiods.com/planet-orbital
(G). Mars and Jupiter are neighbour planets.
The Sun’s synodic rotation period, as viewed from Mars = 25.58058 Earth days.
The Sun’s synodic rotation period, as viewed from Jupiter = 24.80350 Earth days.
The SUM of The CUBES of these two numbers =
25.580583 + 24.803503 = 31,998.5
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Mars’ orbital period = 686.98 Earth days.
The Sun’s synodic rotation period as viewed from Mars =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 686.98)] = 25.58058 Earth days.
Jupiter’s orbital period = 4330.595 Earth days.
The Sun’s synodic rotation period as viewed from Jupiter =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 4330.595)] = 24.80350 Earth days.
The SUM of The CUBES of these two numbers =
25.580583 + 24.803503 = 31,998.5
To verify The Sun’s (sidereal) rotation period, and to verify Mars’ orbital period and Jupiter’s orbital period (and also to verify that Mars and Jupiter are neighbour planets), click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days)
www.solarsystemtimeperiods.com/planet-orbital
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic
(H). Mars and Jupiter are neighbour planets.
The Sun’s (sidereal) rotation period = 24.03822 Mars sidereal days.
The Sun’s (sidereal) rotation period = 59.63692 Jupiter sidereal days.
The SQUARE of The SUM of these two numbers =
(24.03822 + 59.63692)2 = 7001.5
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
The Mars sidereal day = Mars’ (sidereal) rotation period = 1.02596 Earth days.
The Sun’s (sidereal) rotation period = 24.66225 ÷ 1.02596 = 24.03822 Mars sidereal days.
The Jupiter sidereal day = Jupiter’s (sidereal) rotation period = 0.41354 Earth days.
The Sun’s (sidereal) rotation period = 24.66225 ÷ 0.41354 = 59.63692 Jupiter sidereal days.
(24.03822 + 59.63692)2 = 7001.5
To verify The Sun’s (sidereal) rotation period, and to verify Mars’ (sidereal) rotation period and Jupiter’s (sidereal) rotation period (and also to verify that Mars and Jupiter are neighbour planets), click on the following link, and look in the column entitled P Rotation (days):-
www.solarsystemtimeperiods.com/planet-orbital
(I). The Three INNERMOST Planets are:- Mercury, Venus, and Earth.
The Sun’s synodic rotation period, as viewed from Mercury = 34.36362 Earth SIDEREAL days.
The Sun’s synodic rotation period, as viewed from Venus = 27.77873 Earth SIDEREAL days.
The Sun’s synodic rotation period, as viewed from Earth = 26.52044 Earth SIDEREAL days.
THREE times The SUM of The CUBES of these three numbers =
(34.363623 + 27.778733 + 26.520443) x 3 = 242,000.9
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Mercury’s orbital period = 87.9694 Earth days.
The Sun’s synodic rotation period, as viewed from Mercury) =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 87.9694)] = 34.2698 Earth (solar) days.
Venus’ orbital period = 224.695 Earth days.
The Sun’s synodic rotation period, as viewed from Venus =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 224.695)] = 27.70288 Earth (solar) days.
Earth’s orbital period = 365.256 Earth days.
The Sun’s synodic rotation period (as viewed from Earth) =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 365.256)] = 26.44803 Earth days.
The Earth SIDEREAL Day = Earth’s (sidereal) rotation period = 0.9972697 Earth (solar) days.
34.2698 ÷ 0.9972697 = 34.36362 Earth SIDEREAL days.
27.70288 ÷ 0.9972697 = 27.77873 Earth SIDEREAL days.
26.44803 ÷ 0.9972697 = 26.52044 Earth SIDEREAL days.
THREE times The SUM of The CUBES of these three numbers =
(34.363623 + 27.778733 + 26.520443) x 3 = 242,000.9
To verify The Sun’s (sidereal) rotation period, and to verify the orbital periods of Mercury, Venus, and Earth, and to verify Earth’s (sidereal) rotation period, and also to verify which are The Three INNERMOST Planets, click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days)
www.solarsystemtimeperiods.com/planet-orbital
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic
To understand the difference between The Earth solar day and the Earth sidereal day, click on this link:-
www.solarsystemtimeperiods.com/sidereal-day
(J). Earth and Venus are neighbour planets.
The Sun’s synodic rotation period, as viewed from Venus = 27.70288 Earth solar days.
The Sun’s synodic rotation period, as viewed from Venus = 0.11399 Venus SIDEREAL days.
The CUBE of The DIFFERENCE between these two numbers =
(27.70288 MINUS 0.11399)3 = 20,999.2
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Venus’ orbital period = 224.695 Earth days.
The Sun’s synodic rotation period, as viewed from Venus =
1 ÷ [(1 ÷ 24.66225) MINUS (1 ÷ 224.695)] = 27.70288 Earth (solar) days.
The Venus SIDEREAL Day = Venus’ (sidereal) rotation period = 243.0187 Earth days.
27.70288 ÷ 243.0187 = 0.11399 Venus SIDEREAL days.
The CUBE of The DIFFERENCE between these two numbers =
(27.70288 MINUS 0.11399)3 = 20,999.2
To verify The Sun’s (sidereal) rotation period, and to verify the orbital period and (sidereal) rotation period of Venus, and also to verify that Earth and Venus are neighbour planets, click on the following link, and look in the columns entitled P Rotation (days) and P Orbital (days)
www.solarsystemtimeperiods.com/planet-orbital
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic
(K). During One Mars SYNODIC Revolution Period, The Sun rotates (sidereally) 31.6248 rotations.
The SQUARE of this number =
31.62482 = 1000.1
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Mars SYNODIC Revolution Period = 779.9382 Earth days.
779.9382 ÷ 24.66225 = 31.6248 rotations.
The SQUARE of this number =
31.62482 = 1000.1
To verify The Sun’s (sidereal) rotation period, click on the following link, and look in the column entitled P Rotation (days):-
www.solarsystemtimeperiods.com/planet-orbital
To verify Mars SYNODIC Revolution Period, click on the following link:-
www.solarsystemtimeperiods.com/planet-synodic
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic
THE SUN AND THE JUPITER SYSTEM.
(L). During One Sun (sidereal) rotation period, Jupiter’s Four LARGE (“Galilean”) Satellites revolve altogether a total of 25.80989 revolutions.
THREE times The SQUARE of this number =
(25.809892) x 3 = 1998.45
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Here are the names and 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
(24.66225 ÷ 1.769137786) + (24.66225 ÷ 3.551181041) + (24.66225 ÷ 7.15455296) + (24.66225 ÷ 16.6890184) = 25.80989 revolutions.
THREE times The SQUARE of this number =
(25.809892) x 3 = 1998.45
To verify The Sun’s (sidereal) rotation period, and to verify the sizes of satellites (ie:- to verify which are Jupiter’s LARGE satellites), click on the following link, and look in the column entitled P Rotation (days):-
www.solarsystemtimeperiods.com/planet-orbital
To verify the names and orbital periods of Jupiter’s Four LARGE (“Galilean”) Satellites, click on this link:-
www.solarsystemtimeperiods.com/large-sats
(M). During THREE Sun (sidereal) rotation periods, The Bodies of The Jupiter System inferior to Jupiter’s PRIMARY Satellite (Ganymede) rotate altogether a total of 998.7 rotations.
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
A PRIMARY Satellite is the LARGEST satellite for a particular planet.
Jupiter’s PRIMARY Satellite is Ganymede.
Here are the names and rotation periods (which for satellites that are reasonably close to their parent planet are the same as their orbital periods, due to “tidal locking”) – expressed in Earth days – of all the bodies of The Jupiter System which are inferior to Ganymede:-
Jupiter 0.41354 and Metis 0.294780 and Adrastea 0.298260 and Amalthea 0.498179 and Thebe 0.674536 and Io 1.769137786 and Europa 3.551181041
3 x [(24.66225 ÷ 0.41354) + (24.66225 ÷ 0.294780) + (24.66225 ÷ 0.298260) + (24.66225 ÷ 0.498179) + (24.66225 ÷ 0.674536) + (24.66225 ÷ 1.769137786) + (24.66225 ÷ 3.551181041)] = 998.7
To verify The Sun’s (sidereal) rotation period, and Jupiter’s (sidereal) rotation period, click on the following link, and look in the column entitled P Rotation (days):-
www.solarsystemtimeperiods.com/planet-orbital
To verify the orbital periods of Io and Europa, click on this link:-
www.solarsystemtimeperiods.com/large-sats
To verify the orbital periods of Metis, Adrastea, Amalthea, and Thebe, and to verify the order moving outwards of The Jupiter satellites, click on the following link:-
www.solarsystemtimeperiods.com/jup-inner
To verify that Ganymede is Jupiter’s PRIMARY (ie:- largest) satellite, click on this link, and look in the column entitled Radius (km).
www.solarsystemtimeperiods.com/planet-orbital
To verify “tidal locking” – ie:- to verify that the rotation periods for satellites (that are reasonably close to their parent planet) are the same as their orbital periods, due to “tidal locking”, click on the following link, and look in the columns entitled P Orbital (days), and P Rotation (days). For the satellites mentioned above, the Rotation Periods column will have the letter S as the entry for that satellite. This stands for “Same”, ie:- The Same as the orbital period.
www.solarsystemtimeperiods.com/planet-orbital
(N). FOUR times The SUM of the (sidereal) rotation periods of the Sun and its INNERMOST planet (Mercury) = 2,999.1 Sun Oscillations.
DEMONSTRATION:- The Sun’s (sidereal) rotation period = 24.66225 Earth days.
Mercury is The Sun’s INNERMOST Planet. Mercury’s (sidereal) rotation period = 58.6462 Earth days.
The Sun’s oscillation period = 0.11111 Earth days.
4 x [(24.66225 + 58.6462) ÷ 0.11111] = 2,999.1Sun Oscillations.
To verify the (sidereal) rotation periods of the Sun and Mercury, and that Mercury is The INNERMOST Planet, click on this link, and look at the column entitled P Rotation (days):-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Sun’s Oscillation Period, click on this link:-
www.solarsystemtimeperiods.com/sun-oscillation
(O). FOUR Venus synodic revolution periods, as viewed from Earth exceeds FOUR Venus synodic periods, as viewed from Mars by 9000.5 Sun Oscillations.
DEMONSTRATION:- Venus’ synodic revolution period, as viewed from Earth = 583.9205 Earth days.
Venus’ synodic revolution period, as viewed from Mars = 333.9087 Earth days.
The Sun’s oscillation period = 0.11111 Earth days.
4 x [(583.9205 MINUS 333.9087) ÷ 0.11111] = 9000.5 Sun Oscillations.
To verify Venus’ synodic revolution period (as viewed from Earth), click on this link:-
www.solarsystemtimeperiods.com/planet-synodic
Venus’ synodic revolution period, as viewed from Mars is calculated in the following manner:-
Venus’ orbital period = 224.695 Earth days.
Mars’ orbital period = 686.98 Earth days.
Venus’ synodic revolution period, as viewed from Mars =
1 ÷ [(1 ÷ 224.695) MINUS (1 ÷ 686.98)] = 333.9087 Earth days.
To verify the orbital periods of Venus and Mars, click on this link, and look at the column entitled P Orbital (days):-
www.solarsystemtimeperiods.com/planet-orbital
To verify The Sun’s Oscillation Period, click on this link:-
www.solarsystemtimeperiods.com/sun-oscillation
To understand what a SYNODIC period is, click on this link:-
www.solarsystemtimeperiods.com/what-is-synodic