On Thursday, January 20, 2022 at 5:56:29 PM UTC-7, StarDust wrote:
Why is Earth slower moving?
Bigger than mercury!
No, that has nothing to do with it.
The orbital period of a planet is determined solely by the semi-major axis
of its orbit. As Kepler wrote (in book 5 of _Harmonices Mundi_):
Sed res est certissima exactissimaque, quod proportio que est inter binorum quorumcunque Planetarum tempora periodica, sit pracise sesquialtera proportionis mediarum distantiarum, id est Orbitum ipsorum; attento
tamen hoc, quod medium arithmeticum inter utramque diametrum elliptica
Orbita sit paulo minus longiore diametro.
But this thing is most certainly most exact, that the proportion
which is between the temporal periods of any two planets is precisely
the sesququadrate proportion between their distances, that is, their
orbits, giving attention to this, that the arithmetic mean between the
two diameters of an elliptic orbit is less than the length of its diameter.
I could also mention the possibly apocryphal story of Galileo
dropping a small and a large cannonball from the Leaning Tower of
Pisa, but there are those in this group who would consider objectionable
the suggestion that gravity has any connection with the orbits of the
planets.
John Savard
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