[Guest]

Suppose the moon is undergoing a geostationary orbit with earth. If the distance between the two cores is 300,000 km and the earth's sidereal day is exactly 24 hours, what is the maximum speed the moon can travel so that it won't go away with the earth's gravity and collide other planets? Make your answer as a fraction and use Pi as 22/7.

A geostationary orbit (GEO) is a geosynchronous orbit directly above the Earth's equator (0° latitude), with a period equal to the Earth's rotational period and an orbital eccentricity of approximately zero.


Sidereal time is a measure of the position of the Earth in its rotation around its axis, or time measured by the apparent diurnal motion of the vernal equinox, which is very close to, but not identical to, the motion of stars. They differ by the precession of the vernal equinox in right ascension relative to the stars.

Earth's sidereal day also differs from its rotation period relative to the background stars by the amount of precession in right ascension during one day (8.4 ms).[1] Its J2000 mean value is 23h56m4.090530833s.[2]

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[spoiler=Answer]78,571 3/7 km/hr[/spoiler]

[soop]

Too maths-y for me, but a good one.

[Guest]

Too maths-y for me, but a good one.

That easy only....... <_<

Solution: [(2*300,000)22/7] /24

[Guest]

That easy only....... <_<

Solution: [(2*300,000)22/7] /24

I think this question is ambiguous, because the moon's speed can only be measured relative to some frame of reference. The moon's speed in relation to the sun will be different from its speed in relation to the earth.

That being said, I agree with the simple solution Anonymous gave.

[Guest]

I would disagree with the insane difficulty part, it was just a straightforward calculation, but yeah, I got the same answer.

[Guest]

Anonymous, it's more fun to hold back the answer until people have had a chance to guess at it. By posting the answer in a spoiler on the first post, hardly anyone will answer because they'll either just check their work against the spoiler, or not bother to do it at all.

Welcome to the Den.

[Prof. Templeton]

Anonymous, it's more fun to hold back the answer until people have had a chance to guess at it. By posting the answer in a spoiler on the first post, hardly anyone will answer because they'll either just check their work against the spoiler, or not bother to do it at all.

Welcome to the Den.

I agree. Usually when the answer is posted I can't help myself and look at it, and then I don't bother trying to solve it. Half the fun is trying to be the first to get it right.