A moving object will have relativistic length contraction. About which point on the object would it contract? For instance, would the contraction be towards the point on the object that is closest to the observer?
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The only well-defined point around which to define contraction is the center of the object along its direction of motion. This value is independent of the apparent length of the object. Additionally, the contraction has nothing to do with the direction that points towards the observer. The object will only be contracted along the spatial dimension in which it is traveling. So, if it is a rod traveling along its axis, it will not change in radius.
The contraction is toward the front. The reason it appears to be contracted when travelling away (or you away from it) is that the light from the back has less distance to travel, so the back is seen moving before the front, & appears to partly catch up to it, making the object look shorter. L'/L= 1-v/c the same as Doppler formula for frequency. The same is true if the object is travelling cross ways. Light coming out at an angle towards the back intercepts the observer like if you throw a rock from a moving vehicle at a pole while passing it (you have to throw it partly backwards), so again, the light from the back has less distance to travel. L'/L=√(1-(v/c)²) (Lorentz Contraction). The light coming out backward also makes the object look partly turned away (the light you see is from it's rear end). If it is moving towards you (or you towards it), it would appear longer because the front would be seen moving first. L'/L=1+v/c