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Measuring acceleration in $ly/yr^2$ and speed in $ly/yr$ does seem like a convenient choice of units. If you want to be able to express how fast the ship is going as a trivial function of acceleration and time, a way to do that that works correctly is to express how fast the ship is going by giving the ship's rapidity, instead of the ship's speed. In units ...


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Because of the practical considerations, we can ignore the relativistic calculations for now. The acceleration of a spacecraft depends on its mass (including unburned fuel it is carrying) and the engine it uses. And the amount of time it can accelerate depends on how much fuel it has. Some of the total consequences of this can be found in the Tsiolkovsky ...



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