# Equations

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## Preface

Unless otherwise specified, the mentioned value or equation is safe to use for related calculations, and producing results that either exactly the same as shown in game, or error margin is negligible.

## Legend

(*) - Experimentally proven value.

(?) - Assumed or guessed value. If you have more info, please add your proposed equation to the list.

## Colonization

#### World population limit from planet size

PopulationLimit = ??? PlanetDiameter ???

#### World volume limit from planet size

VolumeLimit = ??? PlanetDiameter ???

#### Food consumption

Citizens eat 20% of their max hit points, in food value, per city report.

#### Liquor consumption

Citizens consume 20% of their max hit points, in intoxication points, per city report.

#### Air consumption

Each citizen breathe one unit of Air per city report.

## Ship design and construction

### Ship mass

One hull triangle mass:

24.947578125*(armorLevel+1) kg. For fuel cell: add 126.859453125 kg per triangle regardless of TL or armor level.

Mass limit for design at specified TL

Ship mass < TL * 350'000kg

### Station service range

Service Range = TL * 100m The range is calculated from the outer edge of station extents.

### TL affected by berths

Design TL >= (Crew Berths + Troop Berths + Passenger Berths) - 7

### Armor

Damage absorbed = FLOOR((20 + 50 * ArmorLevel) * (0.95 + 0.05 * TL)) Energy absorbed = FLOOR((5 + 2 * ArmorLevel) * (0.95 + 0.05 * TL))

### HP

HP of one hull triangle:

Metal Hull HP = 10 * FLOOR( 0.275 * (ArmorLevel + 1) * (0.95 + 0.05 * TL) ) Magmium Hull HP = 10 * FLOOR( 1.25 * 0.275 * (ArmorLevel + 1) * (0.95 + 0.05 * TL) ) Vulcium Hull HP = 10 * FLOOR( 1.5 * 0.275 * (ArmorLevel + 1) * (0.95 + 0.05 * TL) )

HP of equipment:

HP = 10 * ModuleAmount

### Capacitor

Capacitor capacity from TL

Capacitor = 0.95 + 0.05 * TL

Capacitor recharge rate

(?) Capacitor recharge time is assumed to be fixed at 30 seconds for any size of capacitor.

Capacitor conversion rate

(?) Probably, 1 unit of Hydrogen per cell per cycle. Cycle length is unknown.

Weapon bay consumption rate

Each weapon module consume 1 point of capacitor each shot (at max power) (?) The Rate of Fire is assumed to be 1 shot per 5 seconds

Conclusion: For continuous fire, you need the figure of "capacitor enough for 6 shots at max power".

FTL drive consumption rate per activation

Note: FTL drive capacitor usage in design summary is wrong.

First, it only count capacitor for required, rather than installed, amount of engines.

Second, it simply miscalculating cap use at certain tech levels.

Wormhole Drive: CapUsage = ModuleAmount / (0.95 + 0.05 * TL)

Warp Drive: CapUsage = ModuleAmount * ( 2 * WarpFactor - 1 ) / (0.95 + 0.05 * TL)

### Weapon bay

Damage = ModuleAmount * 5 * (0.95 + 0.05 * TL)

<math>Range = \sqrt{ 25'000 * ModuleAmount } * ( 0.95 + 0.05 * TL )</math>

Note that this math is for optimal range (shown in design summary as "Damage XXXe at YYYm"). The maximum range (which is shown as "Range" in design summary, and at which point your weapon efficiency is halved) is double that.

### Sensor

Range = ModuleAmount * 6477 * (0.95 + 0.05 * TL)

### Mission control distances

"Travel to system" control distance: 5'000km.

This means, helmsman will report order completed, when the ship is reached the distance of approx. 5'000'000 meters from the main star of the system.

Note on warpdrive usage: Officer will not confirm arrival, when warp core is hot.