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The distortion of a body's visible shape at relativistic speeds

The problem of obtaining the apparent equation of motion and shape of a moving body from its arbitrary given equation of motion in special relativity is considered. Also the inverse problem of obtaining the body's equation of motion from a known equation of motion of its image is discussed. Some examples of this problem solution are considered. As a case in point, the apparent equation of motion and shape of a rod and a sphere which move uniformly in a straight line is rigorously and sequentially discussed. An example of accelerated motion is discussed—the uniform rotation of a rod around the observer when the rod is directed at right angles to the radius. The results are applicable when the speed of the body is comparable to the speed of light.