What Would Happen if the Earth Stopped Rotating?

[Janus]

Do you have a reason to suspect it's physically impossible? It appears unlikely, but that's not the same thing.

If you mean the polar orbit, one problem is that it will tend to preces

Nobody seems to have mentioned Legrange points earth-sun, particularly 4 and 5 which are stable positions.
No shadow there.
Question is, would that object even be considered a moon of the earth, or of the sun?
https://en.wikipedia.org/wiki/Lagrange_point

There's also 3753 Cruithne, which is sometimes called "Earth's second moon" It follows a bean shaped path relative to the Earth, but not one that circles the Earth.

 

[sophiecentaur]

This has a whiff of a SciFi scenario. Nothing wrong with SciFi (I read a lot) but I can't think of another reason to examine the facts about this. And in any case, nothing is for ever when it comes to orbits.