Suppose an artificial satellite is launched to orbit the moon. Ignore 3-body problem issues, just assume it follows a roughly titled elliptical orbit relative to the plane cutting through earth's equator.
The moon is tidally locked to the earth--that is, the moon's surface itself rotates with the same period the moon rotates around the earth.
My question is will this apply to the artificial satellite orbiting the moon? That is, will the orientation of the satellite's orbiting plane remain fixed or will it also rotate in the moon's 28 day cycle?