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I am writing a story on a civilization that has the ability to make constant accelerating drives. The ships will accelerate with 8g's (heavy worlders) for half of the trip and then de-accelerate for the remaining half. Thus the need for artificial gravity is no longer necessary. I know however for large distances time dilation will become an issue and I don't know how to deal with it for an accelerating drive.

I recently found this app which calculates the time dilation due to constantly accelerating drives but I am not quite sure if I should trust it.

https://play.google.com/store/apps/details?id=com.dahak.sci_fitraveler&hl=en

The calculation methods have a lot of sinh functions for the time dilation and I've only ever seen time dilation with square roots. I can't get the book the app references so I was wondering if anyone here has worked with constant acceleration drives and knows of any good references on the time dilation which results? If there are numerical examples which I can check against the app, I would appreciate that as well.

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This question asks for hard science. All answers to this question should be backed up by equations, empirical evidence, scientific papers, other citations, etc. Answers that do not satisfy this requirement might be removed. See the tag description for more information.

closed as off-topic by sphennings, JBH, Logan R. Kearsley, L.Dutch, Andon Dec 30 '17 at 6:32

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question does not appear to be about worldbuilding, within the scope defined in the help center." – sphennings, JBH, Logan R. Kearsley, L.Dutch, Andon
If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ This sounds like a question better asked on Physics. We are more focused on building fictional worlds than verifying that a particular app does it's time dilation calculations correctly. $\endgroup$ – sphennings Dec 30 '17 at 3:01
  • $\begingroup$ Wikipedia has the derivation of the equations. Note that it contains trig: en.wikipedia.org/wiki/Relativistic_rocket $\endgroup$ – Loren Pechtel Dec 30 '17 at 22:43