Considering that the earth is rotating around a small star that is itself orbiting the center of a galaxy, complete with an oscillating rotation (we pogo in and out from the center of the galaxy on an approximately 130 million year cycle like a giant circular sine wave), and that the galaxy is moving away from the point of the Big Bang at an as-yet undetermined speed, and that as time and space are inextricably linked, and remembering what Einstein said about moving clocks and observers, anyone who says they know how long it takes for the earth to go around the sun is a damned liar.
Most of that is irrelevant because it is the relative motion of the Earth with respect to the Sun that is relevant. The other motions are irrelevant for the clocks in the frame best approximating the inertial frame of the sun.