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Warp speed calculator

Explore two fictional warp scales. The later power law is restricted to warp 1 through 9, where the chosen approximation applies.

Calculator

Speed as a multiple of c
8.00000000
Fictional speed
2,398,340,000
Fictional travel time
0.125
Warp scale comparison
Warp factorOriginal-series multiple of cNext Generation multiple of c
1.000000001.000000001.00000000
2.000000008.0000000010.07936840
3.0000000027.0000000038.94073840
4.0000000064.00000000101.59366733
5.00000000125.00000000213.74699333
6.00000000216.00000000392.49804805
7.00000000343.00000000656.13539569
8.00000000512.000000001,024.00000000
9.00000000729.000000001,516.38110700
Small or large results
QuantityValue in stated units (SI for dimensioned outputs)
Fictional speed2.39833966e+9
Chosen fictional speed scale Line chart. The data table follows. 0 0 2.25 182.3 4.5 364.5 6.75 546.8 9 729 Warp factor Speed / c
Chosen fictional speed scale data
SeriesWarp factorSpeed / c
Fictional scale11
Fictional scale1.11.3310000000000004
Fictional scale1.21.7279999999999998
Fictional scale1.32.197
Fictional scale1.42.7439999999999993
Fictional scale1.53.375
Fictional scale1.64.096000000000001
Fictional scale1.74.912999999999999
Fictional scale1.85.832000000000001
Fictional scale1.96.858999999999999
Fictional scale28
Fictional scale2.19.261000000000001
Fictional scale2.210.648000000000003
Fictional scale2.312.166999999999998
Fictional scale2.413.823999999999998
Fictional scale2.515.625
Fictional scale2.617.576
Fictional scale2.719.683000000000003
Fictional scale2.821.951999999999995
Fictional scale2.924.388999999999996
Fictional scale327
Fictional scale3.129.791000000000004
Fictional scale3.232.76800000000001
Fictional scale3.335.937
Fictional scale3.439.303999999999995
Fictional scale3.542.875
Fictional scale3.646.656000000000006
Fictional scale3.750.653000000000006
Fictional scale3.854.87199999999999
Fictional scale3.959.318999999999996
Fictional scale464
Fictional scale4.168.92099999999998
Fictional scale4.274.08800000000001
Fictional scale4.379.50699999999999
Fictional scale4.485.18400000000003
Fictional scale4.591.125
Fictional scale4.697.33599999999998
Fictional scale4.7103.82300000000001
Fictional scale4.8110.59199999999998
Fictional scale4.9117.64900000000003
Fictional scale5125
Fictional scale5.1132.65099999999998
Fictional scale5.2140.608
Fictional scale5.3148.87699999999998
Fictional scale5.4157.46400000000003
Fictional scale5.5166.375
Fictional scale5.6175.61599999999996
Fictional scale5.7185.193
Fictional scale5.8195.11199999999997
Fictional scale5.9205.37900000000005
Fictional scale6216
Fictional scale6.1226.98099999999997
Fictional scale6.2238.32800000000003
Fictional scale6.3250.04699999999997
Fictional scale6.4262.14400000000006
Fictional scale6.5274.625
Fictional scale6.6287.496
Fictional scale6.7300.76300000000003
Fictional scale6.8314.43199999999996
Fictional scale6.9328.509
Fictional scale7343
Fictional scale7.1357.91099999999994
Fictional scale7.2373.24800000000005
Fictional scale7.3389.01699999999994
Fictional scale7.4405.22400000000005
Fictional scale7.5421.875
Fictional scale7.6438.97599999999994
Fictional scale7.7456.533
Fictional scale7.8474.55199999999996
Fictional scale7.9493.03900000000004
Fictional scale8512
Fictional scale8.1531.4409999999999
Fictional scale8.2551.3679999999998
Fictional scale8.3571.7870000000001
Fictional scale8.4592.7040000000001
Fictional scale8.5614.125
Fictional scale8.6636.0559999999999
Fictional scale8.7658.5029999999998
Fictional scale8.8681.4720000000002
Fictional scale8.9704.969
Fictional scale9729

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How this calculator works

Warp factors belong to science fiction and do not describe a demonstrated propulsion mechanism. The original-series convention cubes the factor. The later scale is approximated by a power of 10/3 through warp 9; its approach to the fictional warp-10 limit is not represented by that power law. Story travel times can differ from either convention. Time here is simply distance divided by the selected fictional speed.

Formula

Original-series convention: v/c = w³. Later approximation for 1 ≤ w ≤ 9: v/c = w^(10/3). Travel time t = d/v.

Worked example

On the cubic scale, warp 2 is eight times c and covers one light-year in 0.125 Julian years, or 45.65625 days. Warp 1 corresponds to c on both scales.

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Frequently asked questions

Is faster-than-light travel established physics?

No. These are fictional speed conventions for comparison and storytelling.

Why reject later-scale factors above 9?

The simple 10/3 power law does not model the fictional high-warp transition near 10.

Why can an episode give another travel time?

Writers use narrative constraints and sometimes different conventions; this calculator uses only its stated formulas.

Sources

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