Movie 6 (1:24)
Script : We now
look at moving objects. A tram moving close to the speed of light
displays many effects, becoming distorted, and changing colour
and brightness. Its shadow also falls at an unusual angle.
The effects of
distortion,the Doppler effect and intensity can be separately
treated, so for the moment we "enhance" our image, correcting
it so only distortion appears. This correction occurs within the
large rectangle. The tram appears to have been shortened, sheared
(with the two ends no longer perpendicular to the sides), and
slightly bent.
To explain the
shear, we again move to the schematic world. As the tram moves
close to the speed of light, it is shortened by the Lorentz contraction.
As the back side of the tram is further from us than the front
side, the light takes longer to reach us. Thus the light we see
at any one time must have left the front and back surfaces of
the tram at different times. As the tram is moving at a speed
comparable to that of light, this time delay also means that we
see the front surface of the bus later and further along the track
than the back surface, thus we see a shear. This effect is known
as the Terrell rotation, as the degree of contraction and shear
combine to the exact proportions that a rotation would produce.
However, this effect is dependent on the object appearing small
and distant. If we are too close to the object it's different
parts will appear rotated by different amounts, sometimes resulting
in extreme distortion.