I knew someone was going to counter strike this .
Yes, okay, the sun moves relative to us . And yes, the sun is moving with 700 thousand kilometres per hour around the Milkyway, and the galaxy is tuffing forward with a mere 2 million kilometres per hour. The orbit of the sun however is so big that the G-force in comparison of the sun's low speed does barely have any effect on the orbit of the earth (which would be pulled in an egg-shape(?) due to the sun's gravitational drag). But it is so low that we do not notice any effect in temperature (each time the earth moves in direction of the galaxy's center it should become hotter). The deviation of the eggshaped(?) orbit would cause a visual shift in time of the sun's position, one half of the year it moves faster through the sky, the other half slower.