Formulae

This is an explanation page for the various formulae involved in calculating stats in game.

Augmenter Addition

Augmenter addition is a multi-step process. First all augmenters are tweaked using the augmenter tweaking formula below.

Then the tweaked bonus is converted to a factor (F) using one of two formula, depending on if it is a positive augmenter or a negative augmenter. If the tweaked augmenter gives +83% then by adding 1 the tweaked bonus (B) is 1.83. In a similar fashion, if the tweaked augmenter gives -83% then B is .17.

$F = \begin{cases} B \ge 1, & B - 1 \\ B < 1, & \dfrac{-1}{B} + 1 \end{cases}$

Now we sum all of the factors for all augmenters together:

$F_{sum} = F_1 + F_2 + F_3 + F_4 + F_5 + F_6 + \cdots$

Next we convert this factor sum back to a bonus:

$B_{sum} = \begin{cases} F_{sum} \ge 1, & F_{sum} + 1 \\ F_{sum} < 1, & \dfrac{-1}{B - 1} \end{cases}$

It is this B that can be used to multiply with some stat to get the augged stat. For a bonus that can be compared to augmenter stats, we just subtract 1. 1.83 corresponds to +83% and .17 corresponds to -83%. Given the above calculation, one should take note that negative augmenters provide a greater effect than positive augmenters of the same magnitude.

Augmenter Tweaking

For example, a ship with one augmenter equipped to grant +56% to some statistic would receive the following bonus, as a function of the player's level of Augmenter Tweaking, labeled AT, Imperial Tweaking, labeled IT, and Engineer Class, labeled EC.

$\left(1+.04\times\mbox{AT}+.02\times\mbox{IT}+.005\times\mbox{EC}\right)\times.56$

Similarly, if the equipped augmenter granted -56% instead, the resulting penalty is calculated as follows.

$\dfrac{1-.56}{1+\left(.56\times\left(.04\times\mbox{AT}+.02\times\mbox{IT}+.005\times\mbox{EC}\right)\right)}$

Colony Suitability

Initial Suitability ($S_i$) is calculated by 100 multiplied by the Attributes.

Attribute / Multiplier	0.5	0.75	1.00
Gravity	Heavy	Low	Normal
Temperature	Blistering	Cold	Temperate
Atmosphere	Gaseous	Noxious	Terran

So:

$S_i = {100\times\mbox{Gravity}\times\mbox{Temperature}\times\mbox{Atmosphere}}$

Final Suitability ($S_f$) is Initial Suitability ($S_i$) times the bonus from Colonial Administrator (CA) plus the bonuses from Terraforming $T_{sum}$.

$S_f = \left( S_i \times \left(1 + .05 \times CA \right)\right) + T_{sum}$

Note: All suitability calculations are rounded down

Speed

Speed is defined as distance traveled per second.

Thrust

Acceleration (a) is Thust (T) divided by Weight (W). Acceleration is defined as Speed per second.

$a=\dfrac{T}{W}$

Turning

Turning (T) in revolutions per second is equal to the turning stat (t) times 152 divided by Weight (W).

$T=\dfrac{152\times\mbox{t}}{W}$