More actions
| Line 145: | Line 145: | ||
==Short Warps== | ==Short Warps== | ||
The above calculations work as long as some time is spent at maximum warp speed. If the warp is short enough that the ship never reaches top speed, a different set of calculations are needed. | The above calculations work as long as some time is spent at maximum warp speed. If the warp is short enough that the ship never reaches top speed, a different set of calculations are needed. | ||
<math>\pagecolor{Black}\color{White} | |||
\begin{align} | |||
d_{accel} & = \frac{v_{max}}{k}, d_{decel} = \frac{v_{max}}{j}\\ | |||
d_{total} & = d_{accel} + d_{decel} = v_{max}(\frac{1}{k} + \frac{1}{j})\\ | |||
v_{max} & = \frac{d_{total}*k*j}{k + j} | |||
\end{align} | |||
</math> | |||
This enables the calculation of new acceleration and deceleration times using the formulae described in the previous sections, but substituting in the new v<sub>max</sub> | |||
<math>\pagecolor{Black}\color{White} | |||
\begin{align} | |||
t_{accel} & = \frac{\ln{(\frac{v_{max}}{k})}}{k}\\ | |||
t_{decel} & = \frac{\ln{(\frac{v_{max}}{v_{subwarp}})}}{j}\\ | |||
t_{total} & = t_{accel} + t_{decel} | |||
\end{align} | |||
</math> | |||