Range equation Breguet formula explained

Introduction

The Range equation Breguet formula is used to estimate the range of an aircraft based on its thrust, specific fuel consumption, and flight conditions. This calculator helps you compute the range by taking into account the airspeed and density ratio.

How to Use the Calculator

1. Enter the thrust of the aircraft in Newtons (N).
2. Enter the specific fuel consumption of the aircraft in kg/N·s.
3. Enter the airspeed of the aircraft in meters per second (m/s).
4. Enter the density ratio, which is the ratio of air density at the end of the flight to the air density at the beginning of the flight.
5. Click the "Calculate" button to compute the range.
6. The range of the aircraft will be displayed in meters (m).

Working Principle

The Breguet range equation is derived from the energy balance of the aircraft. It assumes that the aircraft's power setting and airspeed are constant during the flight. The formula is:

Range = (Thrust / Specific Fuel Consumption) * (Airspeed / Log(Density Ratio))

This formula takes into account the thrust produced by the aircraft, the rate at which fuel is consumed, the speed at which the aircraft is flying, and the change in air density during the flight.