Originally Posted by SirTanon
To be specific, the closest STARs (other than our Sun) to earth are Alpha Centauri A and B, each approximately 4.3 LY away.. Technically, Proxima Centauri - a 3rd potential companion star to Alpha Centauri A & B - is closer at 4.22 LY away from us, and does (apparently) have an approximately earth-sized (1.3 times) planet, which may or may not be habitable.. we don't know.
4.22 LY is equivalent to 24,807,799,074,834.80 miles.
Star Trek's warp speed values are logarithmic, not linear, and while there have been many examples of equivalent speeds given in Trek episodes, books, etc.. many times, the values are inconsistent. The best chart I can find is
here and gives a (revised) conversion of Warp 9.9 being 2083 times C (the speed of light). It also lists an example from a Star Trek:Voyager episode of 4 Billion miles per second (which would work out to 21,468 times C).
If we go with the chart value (2083 x C), then we can calculate the time required as (4.22 / 2083)*365 = .73946231 days = 17.7471 hours
If we go with the other figure of 4 billion miles / second, then we can calculate the time required as 24,807,799,074,834.80 / (4 billion) = 6201.949769 seconds = 103.365829 minutes = 1.722764 hours.
Going by your figure (6 billion miles / sec), we'd get 4134.633179 seconds = 68.910553 minutes = 1.148509 hours.
.... quite the discrepancy. Because the writers of all of these Trek episodes are so many different people, and sometimes have to play with numbers and make things up, I tend to trust the scale provided by Michael Okuda as more accurate.. but who am I? I'm no warp engineer.
Yeah, too much playing fast and loose with the rules to fit the story. Like that speed for Voyager would have put them home at about 7.5 years instead of 75 years which is what they said it would take to go 70,000 light years. Or if the ship couldn't go that fast for long, a rescue ship from the Federation could have been sent out.
It's estimated that there may be as many as 2 trillion galaxies out there. The nearest spiral galaxy of Andromeda is over 2 million light years away. Even that those speeds above it would take over 50 years to get there, not even accounting for dark energy.