Warp Speed Calculator

Use the warp speed calculator to find a Star Trek ship's superluminal velocity, distance, and time travel based on its warp factor.

Speed213.747× the speed of light6.408e+10 m/s on the TNG scale

In kilometres per second6.408e+7 km/s

The other scale would give125×the two scales diverge sharply at high warp, which is why episode travel times are famously inconsistent

Time to cross that distance7.462 days4.367 light years, which light itself takes 4.367 years to cross

To the galactic centre121.639 years26,000 light years

Across the galaxy467.843 years100,000 light years — which is why the Voyager premise needed 70 years for 70,000

Is this physics?nofaster-than-light travel is not permitted by relativity, and the warp scale is a writers' convention rather than a physical law. The nearest thing in real physics is the Alcubierre metric, which requires negative energy density that has never been observed in the quantities needed

The real alternativetime dilationa relativistic ship crossing the galaxy at 1 g takes about 12 years of SHIP time, though 100,000 years pass at home. Relativity forbids the shortcut but offers a strange consolation

The formula

TOS v = w³c; TNG v = w^(10/3)c

A writers' scale, not a physical one

The original series used warp factor cubed; The Next Generation switched to the power of 10/3 with a deliberate asymptote at warp 10, representing infinite speed, so that writers could not keep escalating the numbers. The two scales diverge sharply at high warp, which is a large part of why travel times across episodes are so inconsistent.

None of it is physics. Relativity does not permit travel faster than light, and the closest real proposal — the Alcubierre metric, which contracts space ahead of a ship and expands it behind — requires negative energy density in quantities nobody has observed or knows how to produce.

What relativity does offer is stranger: a ship accelerating at a comfortable 1 g crosses the entire galaxy in about twelve years of onboard time, because the distance ahead contracts. A hundred thousand years pass at home. The shortcut is forbidden, but the consolation prize is remarkable.