Warp Speed Scales

V/c = WF³

Where V = Velocity of the vessel, c = the velocity of light, and WF = the warp factor. This scale has the advantage of simplicity; the velocity in multiples of light speed at any given warp factor is that number cubed, hence :

Warp Factor	1	2	3	4	5	6	7	8	9	10	11	12	13	14
Velocity xc	1	8	27	64	125	216	343	512	729	1,000	1,331	1,728	2,197	2,744

V/c = WF^(10/3)

Which is very similar to the Cochrane Scale. Beyond Warp 9 the formula becomes somewhat more complex. It is best approximated by :

V/c = WF^{[{(10/3)+a*(-Ln(10-WF))^n}+f1*((WF-9)^5)+f2*((WF-9)^11)]}

		TIME TO TRAVEL
Warp Factor	Equals (xc)	Earth to Moon (400,000 km)	Across Sol System (12 billion km)	To nearby star (5 ly)	Across Sector (20 ly)	Across Federation (8,000 ly)	To Andromeda (2 million ly)
1	1	1.3333 Sec	11.1 Hours	5.0 Years	20.0 Years	8,000.0 Years	2,000,000 Years
2	10	0.1323 Sec	1.1 Hours	181.1 Days	2.0 Years	793.7 Years	198,425.1 Years
3	39	0.0342 Sec	17.1 Minutes	46.9 Days	187.5 Days	205.4 Years	51,360.1 Years
4	102	0.0131 Sec	6.6 Minutes	18.0 Days	71.9 Days	78.7 Years	19,686.3 Years
5	214	0.0062 Sec	3.1 Minutes	8.5 Days	34.2 Days	37.4 Years	9,356.9 Years
6	392	0.0034 Sec	1.7 Minutes	4.6 Days	18.6 Days	20.4 Years	5,095.6 Years
7	656	0.0020 Sec	1.0 Minutes	2.8 Days	11.1 Days	12.2 Years	3,048.2 Years
8	1,024	0.0013 Sec	39.1 Sec	1.8 Days	7.1 Days	7.8 Years	1,953.1 Years
9	1,516	0.0009 Sec	26.4 Sec	1.2 Days	4.8 Days	5.3 Years	1,318.9 Years
9.1	1,573	0.0008 Sec	25.4 Sec	1.2 Days	4.6 Days	5.1 Years	1,271.2 Years
9.2	1,649	0.0008 Sec	24.3 Sec	1.1 Days	4.4 Days	4.9 Years	1,212.9 Years
9.3	1,693	0.0008 Sec	23.6 Sec	1.1 Days	4.3 Days	4.7 Years	1,181.6 Years
9.4	1,757	0.0008 Sec	22.8 Sec	1.0 Days	4.2 Days	4.6 Years	1,138.3 Years
9.5	1,828	0.0007 Sec	21.9 Sec	24.0 Hours	4.0 Days	4.4 Years	1,093.9 Years
9.6	1,909	0.0007 Sec	21.0 Sec	23.0 Hours	3.8 Days	4.2 Years	1,047.7 Years
9.7	2,044	0.0007 Sec	19.6 Sec	21.4 Hours	3.6 Days	3.9 Years	978.5 Years
9.8	2,304	0.0006 Sec	17.4 Sec	19.0 Hours	3.2 Days	3.5 Years	868.0 Years
9.9	3,053 65	0.0004 Sec	13.1 Sec	14.4 Hours	2.4 Days	2.6 Years	655.1 Years
9.95	4,183	0.0003 Sec	9.6 Sec	10.5 Hours	1.7 Days	1.9 Years	478.1 Years
9.975	5,552	0.0002 Sec	7.2 Sec	7.9 Hours	1.3 Days	1.4 Years	360.2 Years
9.99	7,912	0.0002 Sec	5.1 Sec	5.5 Hours	22.2 Hours	1.0 Years	252.8 Years
9.995	10,553	0.0001 Sec	3.8 Sec	4.2 Hours	16.6 Hours	276.7 Days	189.5 Years
9.999	25,567	0.0001 Sec	1.6 Sec	1.7 Hours	6.9 Hours	114.2 Days	78.2 Years
9.9999	199,516	0.0000 Sec	0.2 Sec	13.2 Minutes	52.7 Minutes	14.6 Days	10.0 Years
10	Infinite	An object at warp 10 travels at infinite speed, occupying all points in the universe simultaneously