Breguet Range Calculator
A jet cruising at 850 km/h with L/D = 16 and a TSFC of 0.6 per hour flies 5466.34 km while burning from 70 t to 55 t.
Typical turbofan 0.5–0.7 per hour.
5466.33995451613 km
Full answer, then cut to fewer decimals (not rounded):
- 5466.33995451613 km
- 5466.3399545161 km
- 5466.339954516 km
- 5466.33995451 km
- 5466.3399545 km
- 5466.339954 km
- 5466.33995 km
- 5466.3399 km
- 5466.339 km
- 5466.33 km
- 5466.3 km
- Endurance E
- 6.430988182 h
- Fuel burnt
- 15000 kg
- Fuel fraction
- 21.42857143 %
Step-by-step solution
- R = (V/c)(L/D) ln(W₀/W₁) = (850 km/h ÷ 0.6/h) × 16 × ln(1.272727273)
- R = 5466.339955 km
- E = (1/c)(L/D) ln(W₀/W₁) = 6.430988182 h
Breguet Range Formula
Jet: R = (V/c)(L/D) ln(W₀/W₁)
propeller: R = (η/c)(L/D) ln(W₀/W₁); jet endurance E = (1/c)(L/D) ln(W₀/W₁)
Worked Example
A jet at 850 km/h, L/D = 16, TSFC 0.6 per hour, burning from 70 t to 55 t:
- R = (V/c)(L/D) ln(W₀/W₁) = (850 km/h ÷ 0.6/h) × 16 × ln(1.272727273)
- R = 5466.339955 km
- E = (1/c)(L/D) ln(W₀/W₁) = 6.430988182 h
Fuel burnt: 15000 kg · Fuel fraction: 21.42857143 %
GATE tip
For maximum jet range fly at maximum √C_L/C_D (C_L = √(C_D0/3K)); for maximum propeller range at maximum L/D. Endurance optima differ: max L/D for jets, max C_L^1.5/C_D for propellers.
More Airplane Performance Calculators
-
Drag Polar Calculator
C_D = C_D0 + K C_L², K = 1/(πeAR)
(L/D)max = 1/(2√(C_D0 K)) at C_L = √(C_D0/K)
Example: C_D0 = 0.025, AR = 8, e = 0.8 at C_L = 0.5: Drag coefficient C_D = 0.037434.
-
Glide Ratio Calculator
Distance = h × L/D, tan γ = 1/(L/D)
sink rate = V sin γ
Example: Gliding from 1000 m with L/D = 12: Glide distance = 12000 m.
-
Lift Equation Calculator
L = ½ ρ V² S C_L
ρ air density, V true airspeed, S wing area, C_L lift coefficient; drag uses C_D the same way
Example: A 16.2 m² wing at 60 m/s and C_L = 0.5 at sea level: Lift L = 17860.5 N.
-
Stall Speed Calculator
V_s = √(2W / (ρ S C_L,max))
in a turn V_s√n; manoeuvring speed V_A = V_s√n_max
Example: An 1100 kg aircraft with a 16.2 m² wing and C_L,max = 1.6 at sea level: Stall speed V_s = 26.0667 m/s.
Frequently asked questions
Why the logarithm?
The aircraft gets lighter as it burns fuel, so the fuel needed per kilometre falls. Integrating gives ln(W₀/W₁).
What units does c take?
Jet TSFC as fuel weight per thrust per time (per hour here, with V in km/h). Propeller BSFC in kg/(kW·h), converted to per metre inside the calculator.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Breguet Range Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/breguet-range-calculator/
IEEE
Scientific Converters, "Breguet Range Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/breguet-range-calculator/