How fast must a rocket travel on a journey to and from a distant star so that the astronauts age 12.0years while the Mission Control workers on earth age 130years?

To achieve the scenario where astronauts age 12 years while those on Earth age 130 years, the rocket would need to travel at a significant fraction of the speed of light, specifically around 0.99c (99% the speed of light). This relativistic effect is a consequence of time dilation, as described by Einstein's theory of relativity. At this speed, time for the astronauts would pass much more slowly compared to those on Earth, allowing for the described age difference during the journey. The exact calculations would involve complex physics, but the required speed is close to the speed of light.