So, I've read a bunch of articles about how, somewhat contrary to intuition, it's usually faster to fly with the rotation of the earth versus against it. All the answers have to do with wind and adding vectors, assuming you launched yourself from the spinning planet. What about in this scenario?
- There's a spinning planet, same size and rotation speed as earth (rotation speed measured w.r.t. something like earth's sun), but with no atmosphere, so it's basically in a vacuum.
- You're flying from outer space towards the planet. Specifically, you're flying directly towards the center of the planet (i.e., along a line that's orthogonal to a plane tangent to the planet's surface).
- Then, you redirect (to avoid crashing) so that you are flying parallel with the surface (or parallel to a plane tangent to the surface). You are flying several miles above the planet's surface along something akin to earth's equator.
Now, in terms time (measured by a clock situated at point A on the surface of the planet) to get from point A back to point A, circumnavigating the planet with a given level of thrust, is it faster to fly with or against the rotation of the planet?