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Message: <blockquote data-quote="Umbran" data-source="post: 7548924" data-attributes="member: 177">Not really.You can do the analysis considering two travelers - one who passes by Earth at 0.8 C on their way to Alpha Centauri, the other passing by Earth at the same moment going 0.9c for the same trip.  They'll arrive at Alpha Centauri each having experienced a different amount of time dilation for that segment of trip, both of them moving at constant velocity - so both in inertial frames of reference.The twin paradox requires that we get the two people in the same place, so that we can see how weird it is that one ages more than the other.  But, you don't need it to show time dilation varies for different speeds.</blockquote>