- Does the deviation of an object due to Lense-Thirring cause loss of energy?
I was thinking about the Gravity-B probe and the rotation of the satellite due to the Lense-Thirring effect. I was imagining that the satellite, once in orbit, was aligned to a distant star using retro rockets effectively rendering it non-rotating relative to that star. That being said, once free to do its thing, over time the satellite would then rotate away from the star due to the Lense-Thirring effect. The question I have is: Since the satellite was initially non rotating, and since it began to rotate, this may or may not have required an acceleration and hence an energy expenditure. Was there indeed an energy expenditure? Since the satellite simply rotates due to the whim of the geodesic of spacetime, I would think that there would not be. The effect would be tiny of course since once the satellite begins to rotate, it's just inertia that keeps it rotating from then on. Thanks.