Time dilation is a phenomenon that occurs due to relative motion between two observers in different reference frames. It is a consequence of Einstein's theory of relativity. Both translational and rotational motion can cause time dilation, but the effects are slightly different.
In the case of translational motion, where an object or observer is moving in a straight line at a constant velocity relative to another observer, time dilation occurs. This is known as "kinematic time dilation" or "velocity time dilation." The faster an object moves relative to an observer, the more time appears to slow down for that object from the observer's perspective. This effect has been experimentally confirmed and is a crucial aspect of special relativity.
On the other hand, if you are rotating around a fixed point, it can also lead to time dilation, but it is a different form known as "gravitational time dilation" or "gravitomagnetic time dilation." This effect arises due to the curvature of spacetime caused by the gravitational field. When an object is in a gravitational field or experiences acceleration, time dilation occurs. The greater the gravitational field or the stronger the acceleration, the more time appears to slow down for an observer in that region.
So, if you were turning around a fixed point, you would experience a combination of rotational motion and gravitational time dilation. The overall effect on time dilation would depend on factors such as the speed of rotation, the mass of the object you are rotating around, and your distance from that object. However, the rotational time dilation effect is typically negligible compared to the gravitational time dilation unless you are in an extremely fast or intense rotational scenario, such as near a black hole.