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According to the Star Trek Technical Manual, the USS ENTERPRISE D, can travel up to speeds of warp 9.2 which is about 1,649 times the speed of light, or 494,357,763 KM/S
.607 Minutes across Sol System.
5.316 hours to cross 1 Light Year
approximately 22 hours, 50 minutes, to reach alpha centauri from Earth (4.3 Light years)
A very neat app to calculate TNG warp speeds can be located here http://www.ussdragonstar.com/utilitycore/warpspeeds.asp
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