Aircraft Payload-Range, Fuel Burn & Breguet Equation Engine

Aeronautical Engineering & Flight Operations: The Breguet Range Equation

Formulated by aviation pioneer Louis Breguet, the range equation governs aircraft mission planning and payload-range diagrams:

• The 3 Pillars of Aircraft Efficiency:

• Aerodynamic Efficiency): Ratio of lift to aerodynamic drag; high-aspect composite wings and winglets push up to 18–

20.

• Propulsion Efficiency (TSFC): Thrust Specific Fuel Consumption; high bypass ratio geared turbofans (Pratt & Whitney GTF, CFM LEAP) burn 15%–20% less fuel per unit of thrust.

• Structural Efficiency): Carbon-fiber composite fuselages (B787, A350) minimize Operating Empty Weight (OEW).

• The Payload-Range Curve: Shows the operational trade-off: an aircraft can fly with maximum payload up to a specific distance; beyond that point, payload must be reduced ("payload trade") to carry more fuel within the Maximum Takeoff Weight (MTOW) ceiling.

How to Use This Calculator

Enter your Aircraft Model & Mission Profile — choose from Airbus A320neo (Narrow-Body Commercial Airline | 180 Passengers), Boeing 787-9 Dreamliner (Long-Haul Wide-Body | 290 Passengers), Boeing 777F (Heavy Intercontinental Cargo Freighter | 102T Payload), Flight Sector Distance (Nautical Miles [NM]) (e.g. 2,200 (2,200 NM = 4,074 km transcontinental flight)), Operating Empty Weight (OEW [kg]) (e.g. 44,300), Maximum Takeoff Weight (MTOW [kg]) (e.g. 79,000), Carried Passenger & Cargo Payload (kg) (e.g. 18,200 (~180 passengers + baggage)), Cruise True Airspeed (KTAS [Knots]) (e.g. 450 (450 knots = ~Mach 0.78)), Aerodynamic Cruise Lift-to-Drag Ratio (L / D) (e.g. 17.5 (16.0–19.5 modern high-aspect wing)), and Turbofan Thrust Specific Fuel Consumption (TSFC [1 / hr]) (e.g. 0.56 (0.50–0.60 modern geared turbofan / LEAP)). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Breguet Aircraft Cruise Range & Aerodynamic equations:

Zero Fuel Weight (ZFW) = OEW + W_payload

Breguet Range (R) = ((V) / (TSFC)) × ((L) / (D)) × (W_takeoffW_landing)

Trip Fuel Burn (kg) = W_landing × [e^((R · TSFC) / (V · (L/D))) - 1]

Block Fuel (kg) = Trip Fuel × 1.12 (ICAO 5% Contingency + 45-min Reserve)

Passenger Fuel Efficiency = ((Fuel Burn (Liters)) / (Passengers × Flight Distance (km))) × 100

Worked Example

For example, dispatching an Airbus A320neo with 44,300 kg OEW), on a 2,200 NM (4,074 km) sector cruising at 450 knots, : The Breguet exponent is . En-route trip fuel burn is . Block fuel required is 11,883 kg, resulting in a Takeoff Weight of 74,383 kg (satisfying the 79,000 kg MTOW limit with a 4,617 kg margin) and delivering 1.80 Liters per 100 passenger-km.

Understanding Your Result

US EPA fuel economy benchmarks (2024): Compact cars 28–35 MPG combined; midsize SUVs 22–28 MPG; pickup trucks 16–22 MPG; hybrid vehicles 40–55 MPG; EVs equivalent 90–120 MPGe. At 3.50/gallon, every 1 MPG improvement saves approximately 35–50/year over 10,000–15,000 annual miles. Real-world fuel economy typically runs 15–20% below EPA ratings in stop-and-go traffic, cold weather (reduces efficiency 15–25%), or with heavy loads.