Oh, now I see why you are confused. You think that the "motion of the planet" has some bearing on the situation. It doesn't.
The road, cart, my imagined cars, and the treadmill are all moving along with the planet. This movement doesn't affect how the cart works or why the treadmill is a good analogy. The treadmill represents the movement of the cart over the road (or the road under the cart), not the "motion of the planet."
-- Roger
That's a good one. A road that is not part of the planet.
The TM is therefore a model of a cart, on a belt, on a planet.
But the planet has the gravity.
To correct for that, the TM belt must be massive enough to have gravity.
Walmart are currently out of stock of that item.