Quote (known954 @ Oct 11 2013 07:21pm)
the moon is exactly 1/400th of the size of the sun
FALSEPlaying with the numbers I'll assume by size you mean radius, instead of volume:
radius of sun ≈ 6.96342×10^5 km
radius of moon ≈ 1,738.14 km
(radius sun)/(radius moon) ≈
400.6248I gave you the benefit of the doubt and choose values that get you as close to 400 as possible, and still didn't make it
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Quote (known954 @ Oct 11 2013 07:21pm)
and its orbit occurs at a distance of exactly 1/400th the distance between the earth and the sun.
FALSEFor starters, the distance between the Earth and Sun, and the Moon and Earth, vary. But let's take the average distance:
Average distance from Earth to Sun ≈ 149,600,000 km
Average distance from Moon to Earth ≈ 384,400 km
(Average distance from Earth to Sun)/(Average distance from Moon to Earth) ≈
389.1779---------------------------------------------------------------------------------------------
Quote (known954 @ Oct 11 2013 07:29pm)
the moon turns at a perfect 400kms per day
If you mean by this: the arc length traveled by a point on the Moon's equator per day, do to the moon rotation on its axis:
FALSECircumference of Moon ≈ 1,738.14 * 2 * pi km ≈ 10,921.0557 km
Rotation rate of moon ≈ 1/27.322 rev/day
Circumference of Moon * Rotations per day ≈
399.7166---------------------------------------------------------------------------------------------
Quote (known954 @ Oct 11 2013 07:29pm)
which is equal to exactly 1% of the speed of rotation of the Earth
FALSECircumference of Earth ≈ 40,075 km
Rotation rate of Earth ≈ 1 rev/day
Circumference of Earth * Rotation rate of Earth * 0.01 ≈
400.75