Time versus Velocity
Relativity is a geometric effect.
The relationship between your time and spacecraft time is simple. All you need is Pythagorus's theorem.
The following are a list of points to be mindful of when studying the animation.
- A time interval of 1 second in your frame is represented by the red line.
- The blue line is the time interval passed on the spacecraft for 1 of your seconds.
- Less than 0.1c the difference in the two times is very small.
- Above 0.9c a small change in velocity results in a big variation in spacecraft time.
- At 1.0c the time passed on the spacecraft is zero seconds for each of your seconds. Time has stopped on the spacecraft.
- The curve is a section of a circle and so is symmetric about the red line in the diagram to the right.
There are two text boxes
spacecraft elapsed time : enter a time interval less than, or equal, to 1.0. The graph will update to show the corresponding spacecraft velocity.
velocity : enter a spacecraft velocity as a fraction of c. The graph will update to show the elapsed time in the spacecraft.