The moon orbits the earth. The earth orbits the sun. If this were a physics problem, you would consider the moon + earth as one mass when calculating their orbit together. The moon's mass, speed, and distance from the sun by itself will not support an orbit.
In other words:
-The earth orbits the sun.
-The moon orbits the earth.
-The earth + moon orbits the sun.
-The "orbit" described in the link is a byproduct of its relation to the earth + moon acting as one mass.
This is also the answer to: How does the moon keep from falling into the sun then?
It's the same as saying that a person orbits the sun. The person is standing on earth and the earth orbits the sun; therefore the person also orbits the sun. That's only because we're considering the earth + person as one mass. The person by themselves would never orbit the sun. You could also make a mathematical / graphical representation of the person's "orbit" of the sun just like the one for the moon in that link.
If that's what you meant, then you're right. But everyone else is more right.
(Ye swine!)
