WOLFRAM|DEMONSTRATIONS PROJECT

Applications of Lanchester's Square Law

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kills per soldier
good
0.01
poor
0.02
bomb dropped time
good
100
poor
100
bomb effectiveness
good
0.5
poor
0.5
reinforcements
good
20000
poor
20000
good rate
10
poor rate
10
initial troops
good
30000
poor
15000
time
100
Lanchester's square law models a battle between two armies using a pair of differential equations based on a set of fixed positive constants: the kill rate of good soldiers and the kill rate of poor soldiers. The square law assumes the rate of attrition for one army is solely based on the population and strength of the other army's soldiers, that there is no crossfire where two opposing troops kill each other at the same time and every shot kills only one soldier.