Relativistic Space Travel

I tried to make a game that depicts the distortion of space and time when moving at very fast speeds. The speed shown on the HUD is percentage of light speed. Next to it is Lorentz factor. "On-Board Time" is time as you experience it inside the moving vehicle, i.e. the current time from your perspective. "Earth Time" is the time for everyone outside of your space ship. The sizes of objects and the distance between them will also appear to change, but only in the direction parallel to your velocity. Unlike time dilation which is proportional to the Lorentz factor, distance contraction is inversely proportional, meaning things will appear closer to you as you speed up. Doppler shift works in a similar way, except the perceived changes in wavelengths are a result of both time and length changing.