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I'm writing a science fiction novel, and I'm trying to figure out how to make an approximation on the travel time of a hypothetical space ship travelling at relativistic speeds. Given the following:

The space ship is capable of accelerating at a constant 1G, until it reaches a top speed of 0.8c, after which it will travel at constant speed until beginning deceleration. Deceleration will also be at a constant 1G. For this instance, the travel distance is 100 light years, and the ship will start from a standstill, and should come to a complete stop at it's destination.

What I want to find out, is how long the journey will take from the viewpoint of the passengers, and how long it will take from the viewpoint of an outside observer.

I'd like to know which equations I'll need to use to make this calculations, preferably in a form that I can use to repeat the calculations given other acceleration rates, distances and top speeds. I do not need the results to be extremely precise, a reasonable approximation will do (if that matters).

Please note that I only have a basic understanding of physics and math, so I would appreciate if any answers are kept as simple as possible. Though an answer I may not understand is better than no answer :)

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# Travel time for a space ship at relativistic speeds

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