complementation - Is "A Star Shoots" a complete sentence?

A star shoots.

I read something like this somewhere. Can this be thought of as a complete sentence? How does one analyze this, grammatically? It looks as though it is missing some phrase. On the other hand we do say shooting star, so it isn't very clear if this is a complete sentence or not.

So, it may seem like a complete sentence? I guess, “A man runs.” and “It bites.”, seem like this, too? Same with: "A twig swayed.", "A ball rolls.", "A man jumps."