What if the planets were in the same position as our moon?

Okay, numbers crunched.

Any body (like, the Earth or Moon) has internal gravitational forces that hold it together.

Now, you all know about tidal forces, right? It is the phenomenon that creates our ocean tides, and has the moon locked so only one side ever faces us on Earth - tidal forces arise from the fact that the strength of a gravitational pull drops off with distance. The Earth pulls on the near side of the Moon more strongly than it does on the far side of the moon. The difference produces a stress on the Moon.

So, if the tidal forces on a body are as strong or stronger than the internal forces that hold it together, in general, you expect the thing to get ripped apart. There are some special cases and orbits you can imagine where this doesn't happen (see the work of Dr. Forward, previously mentioned), but in general, there's a limit on how close you can get two bodies together before one or the other gets shredded.

The point at which this happens is called the "Roche limit", after Édouard Roche, who first calculated the thing.

If we assume (as Roche did) that the bodies are rigid (they aren't, but are close enough for our purposes of the moment), the calculation of the minimum acceptable distance between them is simple. And, if I have my numbers right, in all cases, if the planet-moon distance is the same as the distance from Earth to our own Moon, we are okay - you can put Mars where the Moon is now. Or you can put Earth in an orbit around Jupiter at that distance, and nothing would get shredded. Deformed and tidally locked, perhaps, but not destroyed.
 

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I do wonder in what kind of orbit we'd need to have to be around Jupiter to be safe.

Depends upon what you call "safe". My numbers suggest that Earth would physically survive being at that kind of distance fro Jupiter. However, Jupiter's radiation belts may be troublesome - that Moon-like orbit around Jupiter would put Earth in Jupiter's version of our Van Allen radiation belts. I don't know exactly how intense they are, or whether our atmosphere would be sufficient shielding.

More importantly, though, if you move Earth out to be in orbit around Jupiter, we'd not get enough sunlight to stay warm, and Earth would freeze. The scheme only works if you bring Jupiter to be close in to the Sun, and then put Earth in orbit around Jupiter.
 

tidally locked might not be to bad as we'd be in orbit and get the sunlight roving across the surface. The kind of sunlight exposure on the side facing Jupiter might be weird, heck it'd all be weird.

What about the radiation and possible loss of tides and maybe earth quakes? How much water would be drawn to the side facing Jupiter? Huh, maybe a question for XKCD?

http://what-if.xkcd.com/
 

What about the radiation and possible loss of tides and maybe earth quakes?

Well, if we assume tidal locking, you should lose daily tides, which would have some major effects on a great deal of sea life. Radiation might also be an issue. And you've noted, our current day-night cycle would get replaced by something determined by the orbit.

Back of the envelope calculation says that our new "orbital day" around Jupiter would be about... 1.5 current days long. Not insufferable.
 







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