# 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