Would it be possible to have a satellite orbiting Earth slowly enough that it always stays between Earth and the sun? Not necessarily directly between so that its shadow is always on Earth, but such that, with an orbit that would take it "behind" Earth, it would orbit at a speed such that when it gets halfway through its orbit, Earth has gone halfway through its own, and its still on the inside of Earth's orbit? Probably much farther away than geosynchronous satellites? This wouldn't be the same thing as an L1 point in my understanding of Lagrange points, because the object is solely in orbit around Earth, but might not be possible. And please be specific as to why it's not possible if it's not, so I know whether to go with a fabricated excuse as to how it could be possible, or go with an actual possible story.