If static means that the player follows the rings when in rest. Like we do on earth.
https://
drive.google.com/open?id=0B1SSuCVV8v74RnVnWUhvdmh0M1U
If static means that the player when in rest does not move at all. Then delete the rotation for the game layer.
You can walk over the rings with the default platform keys. Not needed ? Set the platform's default keys off.