At 5 miles per second, silar to that of orbital velocity of 18,000 miles per hour, the [[Lorentz factor]] has a value of 1.000000000360219.
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Speeds necessary to get a significant Lorentz factor are simply not found in real-life examples of visible objects. For example, at 5 miles per second, (18,000 miles per hour, the speed of a satellite in Earth orbit), the Lorentz factor has a value of 1.000000000360219.