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EXAMPLE 85.

The PROGRADE (rotation) Naked-Eye Visible Planets are:- (A). Mercury, and (B). Earth, (Venus has RETROGRADE Rotation.) and (C). Mars, and (D). Jupiter, and (E). Saturn.

This image displays The SUM of The ANGLES revolved by Pluto’s Five Satellites (ie:- Charon, Styx, Nix, Kerberos, and Hydra) during TWO Rotation Periods of each of these planets.

DEMONSTRATION:- Here are the names and orbital periods (expressed in Earth days) of Pluto’s Five Satellites:- Charon 6.387230 and Styx 20.16155 and Nix 24.85463 and Kerberos 32.16756 and Hydra 38.20177

The Naked-Eye Visible Planets are:- Mercury, Venus, Earth, Mars, Jupiter, and Saturn. (Actually Uranus CAN be seen by the naked eye under good viewing conditions by someone with very good eye sight, but it is not normally regarded as a Naked-Eye Visible planet.)

(A). Mercury rotation period = 58.6462 Earth days.

58.6462 x 2 = 117.2924 Earth days.

(117.2924 ÷ 6.387230) + (117.2924 ÷ 20.16155) + (117.2924 ÷ 24.85463) + (117.2924 ÷ 32.16756) + (117.2924 ÷ 38.20177) = 35.61698 revolutions.

0.61698 x 360 = 222.1 degrees.

That is 35 complete revolutions + 222.1 degrees.

(B). Earth rotation period = 0.997269663 Earth days.

0.997269663 x 2 = 1.99454 Earth days.

(1.99454 ÷ 6.387230) + (1.99454 ÷ 20.16155) + (1.99454 ÷ 24.85463) + (1.99454 ÷ 32.16756) + (1.99454 ÷ 38.20177) = 0.6057 revolutions.

0.6057 x 360 = 218.0 degrees.

(C). Mars rotation period = 1.025957 Earth days.

1.025957 x 2 = 2.0519 Earth days.

(2.0519 ÷ 6.387230) + (2.0519 ÷ 20.16155) + (2.0519 ÷ 24.85463) + (2.0519 ÷ 32.16756) + (2.0519 ÷ 38.20177) = 0.6231 revolutions.

0.6231 x 360 = 224.3 degrees.

(D). Jupiter rotation period = 0.41353831 Earth days.

0.41353831 x 2 = 0.82708 Earth days.

(0.82708 ÷ 6.387230) + (0.82708 ÷ 20.16155) + (0.82708 ÷ 24.85463) + (0.82708 ÷ 32.16756) + (0.82708 ÷ 38.20177) = 0.2511 revolutions.

0.2511 x 360 = 90.4 degrees.

(E). Saturn rotation period = 0.44401 Earth days.

0.44401 x 2 = 0.88802 Earth days.

(0.8802 ÷ 6.387230) + (0.8802 ÷ 20.16155) + (0.8802 ÷ 24.85463) + (0.8802 ÷ 32.16756) + (0.8802 ÷ 38.20177) = 0.2697 revolutions.

0.2697 x 360 = 97.1 degrees.

To verify the time periods and data in this example, click on the following links:-

Verify The Naked-Eye Visible Planets

www.solarsystemtimeperiods.com/naked-eye

Orbital periods of The Pluto Satellites

www.solarsystemtimeperiods.com/pluto-sats

Rotation periods of Mercury and Saturn

www.solarsystemtimeperiods.com/planet-orbital

Rotation period of Earth

www.solarsystemtimeperiods.com/earth-periods

Rotation period of Mars

www.solarsystemtimeperiods.com/mars-rotation

Rotation period of Jupiter