# Warp factor

Talk7*44,793*pages on

this wiki

A **warp factor** is a term indicating velocity in the subspace realm where faster-than-light (FTL) speeds are possible. Starfleet and the Federation has used a scale using cochrane units to measure the distortion potential of a warp drive. An original (OCU) scale was used up until the early 24th century, whereupon a revised scale (MCU) was put into effect when a more complete understanding of the nature of subspace was reached. (*ST* reference: *Starship Spotter*)

## Original cochrane unitEdit

In the 22nd and 23rd centuries, the relationship between warp factor (*WF*) and speed in multiples of the speed of light (X*c*) was defined as:

- X
*c*=*WF*^{3}

This gives a speed of 1*c* for Warp 1, 512*c* at Warp 8, 1000*c* at Warp 10, and so on.

## Modified cochrane unitEdit

In the 24th century, the relationship between warp factor (*WF*) and speed in multiples of the speed of light (X*c*) was defined as:

- For WF 1–9, X
*c*=*WF*^{10/3} - For WF >9, the
*WF*exponent approaches infinity as the*WF*approaches 10.

This gives a speed of 1*c* for Warp 1, 1024*c* at Warp 8, and speeds above 1516*c* at Warp Factors between 9 and 10. Warp 10 is
understood to be infinite speed and thus theoretically impossible to achieve.

The relationship between *Transwarp* and high Warp Factors is ambiguous.

## Speed comparisonEdit

WF | OCU | MCU |
---|---|---|

1 | 1 | 1 |

2 | 8 | 10.08 |

3 | 27 | 38.94 |

4 | 64 | 101.59 |

5 | 125 | 213.75 |

6 | 216 | 392.50 |

7 | 343 | 656.14 |

8 | 512 | 1024 |

9 | 729 | 1516.38 |

10 | 1000 | Infinite |

11 | 1331 | Undefined |

12 | 1728 | Undefined |

13 | 2197 | Undefined |

14 | 2744 | Undefined |

15 | 3375 | Undefined |

The table to the right compares speed in multiples of the speed of light for the two scales.

## BackgroundEdit

The production crew behind *The Next Generation* simply used a hand-drawn curve for decimal Warp Factors between *WF* 9 and 10, and thus there is no correct formula for those speeds in the TNG/DS9/Voyager era.

This article or section is incomplete |
---|

This article is marked as lacking essential detail, and needs attention. Information regarding expansion requirements may be found on the article's talk page. Feel free to edit this page to assist with this expansion. |