So I was reading a post of "What would happen if the sun disappeared". An excerpt:
After eight minutes, the Earth would not only lose the sun's light and heat, but also its gravitational influence. No longer in solar orbit, the Earth would continue in a straight line into space at 67,062 miles per hour.
I can liken this to spinning a ball on a string, and if I release the string, then instantaneously the ball would continue in a straight line along its tangential trajectory. How long after the sun disappearing would it take for this to happen to the Earth? Instantly? Or at the speed of light?
While the Sun suddenly disappearing is certainly not likely, the central mass of an orbit could suddenly change in shape or magnitude due to say a large mass ejection. This can certainly be mathematically modeled.
In this case, would the orbit of the Earth continue undisturbed until information of the change reached the Earth? If so, how long would the delay in response be?