Imagine you had perfect technology and unlimited fuel. How far could you go?
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A"light clock" will appear to run different for observers moving at different relative speeds, but this is due to the constancy of the speed of light. Einstein's law of special relativity governs how these time and distance transformations take place between different observers. A logarithmic view of our Solar System, extending out all the way to the next-nearest stars, shows the extent of the asteroid belt, the Kuiper belt, and our Oort cloud. It would take a long journey of many months, even approaching a full year, of constant acceleration followed by deceleration to reach even the innermost edge of the Oort cloud.The stars Alpha Centauri including A and B, are part of the same trinary star system as Proxima Centauri .
The Andromeda Galaxy resides in our local group, and is nearly twice as large in diameter as our Milky Way. It is located 2.5 million light-years away, but if we constantly accelerated towards it at 9.8 m/s^2, turning around to decelerate halfway along the journey, we'd reach it after traveling for just 30 years from our frame of reference.Arrival at the Andromeda galaxy, 2.5 million light-years distant, is achievable after just 30 years.
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