User:Hirmuolio Pine

shoot 'em

		WD	EWAR	L
	1 x Drone
	1 x Frigate
	1 x Elite Frigate
	1 x Overseer Frigate
	1 x Commander Frigate
	1 x Destroyer
	1 x Commander Destroyer
	1 x Cruiser
	1 x Storyline Mission Cruiser
	1 x Elite Cruiser
	1 x Overseer Cruiser
	1 x Commander Cruiser
	1 x Battlecruiser
	1 x Battleship
	1 x Commander Battleship
	1 x Overseer Battleship
	1 x Sentry

Math

Variables and constants

v = velocity(m/s)

v_t = transversal velocity

v_r = radial velocity

v_max = max velocity (m/s)

t = time (s)

I = inertia modifier

M = mass (kg)

Flying

Acceleration

Velocity at time t v(t)=v_max * (1-exp( (-t*10^6)/(I*M) ))

time to velocity v t = -I * M * 10^-6 * ln(1 - v/v_max)

Ships warp out after reaching 75% of their max velocity. From this it is easy to calculate time to warp for stationary ship. time to warp = -I * M * 10^-6 * ln(0.25)

\omega = v_t * r

Shooting

Turrets

ChanceToHit = 0.5 ^ ((((Transversal speed/(Range to target * Turret Tracking))*(Turret Signature Resolution / Target Signature Radius))^2) + ((max(0, Range To Target - Turret Optimal Range))/Turret Falloff)^2)

The chance to hit value is comared to random value X∈[0,1]. If X<ChanceToHit the shot hits.

X also determines damage of the shot.

Damage of the shot = BaseDamage*(X+0.5)

Missiles

Damage = D * min( 1, S/E, ((S*V_e)/(E*Vt))^(ln(drf)/ln(5.5)) )