Warp Speed Calculator
// Interstellar Travel & Relativity Calculator //
Destination Distance
Ship Speed
0.50 c
Fraction of Speed of Light
0.1c
25c
50c
75c
99.99c
Warp Factor
1.00
Star Trek Warp Scale
Destination Presets
Travel Time Results
Earth Time
--
years
Ship Time
--
years
Fuel Energy
--
Joules
Relativistic Mass
--
x rest mass
Relativistic Effects
Time Dilation
t' = t / γ = t × √(1 - v²/c²)
1.00x
Ship time passes at same rate as Earth time
Length Contraction
L' = L / γ = L × √(1 - v²/c²)
1.00x
Distance appears unchanged to ship crew
Mass Increase
m = m₀ / √(1 - v²/c²)
1.00x
Ship mass equals rest mass
Energy Required
E = mc²(1/√(1-v²/c²) - 1)
0 J
Kinetic energy needed to reach speed
Speed of Light Reference
Speed (c)
299,792,458 m/s
km/s
299,792 km/s
km/h
1,079,252,849 km/h
AU per second
0.002 AU/s
Earth to Moon
1.28 seconds
Earth to Sun
8.32 minutes
Earth to Mars (min)
~3-22 minutes
To Alpha Centauri
4.24 years
Warp Factor Reference
Warp 1
1.00c
Warp 2
8.00c
Warp 3
27.00c
Warp 4
64.00c
Warp 5
125.00c
Warp 6
216.00c
Warp 7
343.00c
Warp 8
512.00c
Warp 9
729.00c
Warp 9.9
~3,000c
Warp 9.99
~7,912c
How It Works - Relativity Formulas
Time Dilation (Special Relativity)
t' = t × √(1 - v²/c²)
t' = time experienced by moving observer (ship crew)
t = time experienced by stationary observer (Earth)
v = velocity of the moving object
c = speed of light (299,792,458 m/s)
As an object approaches the speed of light, time slows down for the moving observer. At 99% of c, time passes about 7 times slower aboard the ship.
t = time experienced by stationary observer (Earth)
v = velocity of the moving object
c = speed of light (299,792,458 m/s)
As an object approaches the speed of light, time slows down for the moving observer. At 99% of c, time passes about 7 times slower aboard the ship.
Length Contraction
L' = L × √(1 - v²/c²)
L' = contracted length as measured by moving observer
L = proper length (rest length)
Objects moving at relativistic speeds appear shortened in the direction of motion. This is not an illusion - the space itself is contracted for the moving observer.
L = proper length (rest length)
Objects moving at relativistic speeds appear shortened in the direction of motion. This is not an illusion - the space itself is contracted for the moving observer.
Relativistic Mass Increase
m = m₀ / √(1 - v²/c²)
m = relativistic mass
m₀ = rest mass
The effective mass of an object increases as it approaches light speed. This is why infinite energy would be required to reach exactly c.
m₀ = rest mass
The effective mass of an object increases as it approaches light speed. This is why infinite energy would be required to reach exactly c.
Kinetic Energy (Relativistic)
E = m₀c²(1/√(1-v²/c²) - 1)
E = kinetic energy
m₀ = rest mass
c = speed of light
At relativistic speeds, the classical kinetic energy formula (½mv²) is no longer accurate. This relativistic formula accounts for the mass increase.
m₀ = rest mass
c = speed of light
At relativistic speeds, the classical kinetic energy formula (½mv²) is no longer accurate. This relativistic formula accounts for the mass increase.
Warp Factor (Star Trek)
Warp Factor w: Speed = w³ × c (for w ≤ 9)
w = warp factor
c = speed of light
In the Star Trek universe, warp factor follows a cubic relationship with speed for factors 1-9. Above warp 9, the scale becomes exponential. Warp 1 equals light speed, Warp 9 equals 729 times light speed.
c = speed of light
In the Star Trek universe, warp factor follows a cubic relationship with speed for factors 1-9. Above warp 9, the scale becomes exponential. Warp 1 equals light speed, Warp 9 equals 729 times light speed.