Consider an object say O (which is a rigid body having appreciable dimension wrt its orbit) is rotating about a fixed point C (and it is not spinning about its axis through centre of mass) at centre of circular orbit then
At first guess we would assume that the body is just translating and all particles at some instant have same velocity but if we analyse motion of particles more carefully we would find that each particle is moving in a circle about the axis through C hence it probably is doing both translation and rotation simaltaneously as different particles have different radius of orbit as body has appreciable size hence different velocities therefore not in pure translation.
So what kind of motion is this exactly?