Warp Speed Graph & Calculator

Note: This page uses HTML5 Canvas, JavaScript, and some advanced CSS2 properties for the layout of equations.

Graph

 Berry-Shields Equation v(W) = W((10/3)+u(W−9)∙A∙(−loge(10−W))n Basic Equation v(W) = W(10/3) ) + (10 − W)(-11/3) TOS Equation v(W) = W3 Chart Data Points see chart below

Calculator

 Warp Factor (W) Velocity (c) Time to Travel 1 AU 1 LY 1 Sector (20LY) Across Galaxy (100,000LY) LY

The equation used in the calculator is the Berry-Shields equation, named after the contributors who discovered and refined it (Dominic Berry and Martin Shields). The equation is:

v(W) = W((10/3)+u(W−9)∙A∙(−loge(10−W))n

Where:

u(x) = { 0; x ≤ 0
e−1/bx2; x > 0

A = 0.03658749373

n = 1.7952294708

And b is an indeterminate constant (1000 is used in the converter) which governs the exact shape of the warp function curve at W=9.

Conversion of velocity to Warp Factor is done by successive approximation to some arbitrary number of iterations and accuracy. On slower machines this may take some time.

Chart

Warp Factor Velocity (c) Source Comment
1 1 TM Speed of Light
2 10 TM
3 39 TM
4 102 TM
5 214 TM Federation speed limit in the year 2370
6 392 TM
7 656 TM
8 1024 TM
9 1516 TM Defiant's maximum speed ("The Sound of Her Voice" [DS9])
9.2 1649 Encyclopedia
9.6 1909 Encyclopedia
9.9 3053 Encyclopedia Enterprise-D maximum speed.
9.975 ? "Caretaker" [VOY]Voyager "cruise velocity"
9.99 7912 Encyclopedia
9.9997 ~198696 TM(derived) Subspace radio speed
9.9999 199516 Encyclopedia Maximum boosted subspace radio speed

To Do List

• Significant figures in Calculator
• Show calculator point on graph

Joshua Bell, inexorabletash@gmail.com