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.


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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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.

  • 3
    $\begingroup$ 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