The Breguet Equation(and using it effectively) (Updated 27 June 2011)

### References:

Subsonic and Supersonic Anti-Ship Missiles: An Effectiveness and Utility Comparison (Jan. 1997 Naval Engineers Journal)

### The Breguet Equation

R = 2.3 (L/D) (V/C) (LOG10(w1/w2))

Where:

R: Range of Missile or Air Vehicle in Nautical Miles.
L/D: Lift to Drag Ratio of Missile or Air Vehicle.
V: Velocity of the Missile or Air Vehicle in knots
C: Specific fuel consumption (SFC) rate in lb/lb/hr.
w1: Launch/Takeoff Weight of Missile or Air Vehicle
w2: Fuel Exhaustion Weight of Missile or Air Vehicle.

EXAMPLE

A typical subsonic turbojet anti-ship missile has the following characteristics:

L/D: 2.5
V: 530 knots (0.8 Mach)
C: 1.5 lb/lb/hr
w1/w2: 1.13
It's range would then be:
2.3 (2.5) (530/1.5) (LOG10(1.13)) = 107.8377~ nm

### Advanced Use of the Equation

You could split up an aero vehicle's flight trajectory into multiple phases and then calculate the range for each phase, such as a Lo-Hi-Lo profile to perform more detailed analysis.