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A wobbly sine-wave elipse around the sun.

This subject gets complicated in a hurry, and things get pulled into the discussion

that are hard to accept, because everybody knowswhat they learned when they

were 10 years old ... the moon goes around the Earth, and that's the end of that.

Without reproducing a whole semester in Newtonian Physics here on this page,

let's just remind the well-informed adult that all motion is relative, and that

where you're standing and how you're moving makes a big difference in what

you see.

If you're sitting on the Earth and watching the moon's motion, you see it

revolving around you, in a nice Keplerian orbit with a small eccentricity,

once every 27.32 days, and that's what you teach your kids.

Once you're grown up, and your own horizons become somewhat expanded,

you learn that if you were "on the sun" so to speak, you'd see the Earth/Moon

pair revolving around you. If you stayed on the sun, kept yourself and your

instruments cool somehow, and watched these two bodies for a while, you'd

realize that the center of mass of the two of them is revolving around you, in

a nice Keplerian orbit with small eccentricity, once every 365.25 days, while

both of them (the Earth and its moon) are continuously wiggling around their

common center of mass.

Since the Earth's mass is about 80 times greater than the moon's mass, the

Earth barely wiggles at all, and its orbit alone around the sun is much closer to an

unperturbed ellipse. But the poor fly-weight moon is really getting yanked around

by the Earth, and its orbit around the sun is distorted by about 13 of these shallow

"dimples" or waves, distributed all around its solar orbit.

They're not that deep ... out of an average 93 million miles to the sun, the peaks

of the dimples only increase/decrease the distance a quarter million. And even

though the moon is "going around" the Earth, still, from your point of view in

your observatory on the sun, the moon's orbit around you is always concave

toward you ... sometimes more, sometimes less.

So the next time somebody asks you "Does the moon go around the Earth

or does it go around the sun, or does the Earth go around the sun ?", you

can confidently give him the complete, truthful answer. It's "Yes!"

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13y ago

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