If everything with mass has gravity, how come objects consid
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If everything with mass has gravity, how come objects consid

[From: Physics] [author: ] [Date: 01-07] [Hit: ]
If everything with mass has gravity, how come objects considerably less massive than my body dont orbit around me?......


If everything with mass has gravity, how come objects considerably less massive than my body don't orbit around me?

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answers:
Andrew Smith say: As F = GMm / r^2
a = GM/ r^2
but a = w^2 R
so w^2 = GM/r^3
but if two objects have the same density then the mass M = 4/3 pi() R^3 *d
substitute to get w = G * 4/3 pi() d
so that the orbital frequency at the surface of a body is precisely the same for any two bodies of the same density no matter what their size.

An interesting result.
Now I imagine that you are less dense than the earth however imagine that you had the same density.
It would take 90 minutes for a body to orbit around you.

But in those 90 minutes is it possible that the body might have fallen a bit towards the earth?
Most things fall in less than 90 minutes.

So to see this orbit you would need to take yourself into the void of outer space and then see for yourself if my calculation was reasonable.
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CarolOklaNola say: Because Earth has a LOT more mass than YOU have. Your mass is VERY tiny compared to Earth's mass,, and Earth is gaining mass every year.
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Jeffrey K say: Your body has a small mass so its gravitational field is extremely tiny. If you were alone in space with a golf ball near you, it would orbit you. But its orbital velocity would be so tiny it would take millions of years to go around you once. You would not notice that it was moving.
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oubaas say: Earth's gravity will prevail
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