Loiter Weight Fraction for Jet Aircraft Calculator

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✖Endurance of aircraft is the maximum length of time that an aircraft can spend in cruising flight.ⓘ Endurance of Aircraft [E]			+10% -10%
✖Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.ⓘ Specific Fuel Consumption [c]			+10% -10%
✖Maximum Lift to Drag ratio of Aircraft while in cruise, the ratio of lift to drag coefficient is maximum in value.ⓘ Maximum Lift to Drag Ratio [LDmax_ratio]			+10% -10%

✖Loiter weight Fraction for Jet aircraft is the ratio of weight of aircraft at the end of loiter phase to weight of aircraft at beginning of loiter phase.ⓘ Loiter Weight Fraction for Jet Aircraft [F_loiter(jet)]

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Formula

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Loiter Weight Fraction for Jet Aircraft

Formula

`"F"_{"loiter(jet)"} = exp(((-1)*"E"*"c")/"LDmax"_{"ratio"})`

Example

`"0.985255"=exp(((-1)*"452.873s"*"0.6kg/h/W")/"5.081")`

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Loiter Weight Fraction for Jet Aircraft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loiter weight Fraction for Jet aircraft = exp(((-1)*Endurance of Aircraft*Specific Fuel Consumption)/Maximum Lift to Drag Ratio)
F_loiter(jet) = exp(((-1)*E*c)/LDmax_ratio)
This formula uses 1 Functions, 4 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Loiter weight Fraction for Jet aircraft - Loiter weight Fraction for Jet aircraft is the ratio of weight of aircraft at the end of loiter phase to weight of aircraft at beginning of loiter phase.
Endurance of Aircraft - (Measured in Second) - Endurance of aircraft is the maximum length of time that an aircraft can spend in cruising flight.
Specific Fuel Consumption - (Measured in Kilogram per Second per Watt) - Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.
Maximum Lift to Drag Ratio - Maximum Lift to Drag ratio of Aircraft while in cruise, the ratio of lift to drag coefficient is maximum in value.

STEP 1: Convert Input(s) to Base Unit

Endurance of Aircraft: 452.873 Second --> 452.873 Second No Conversion Required
Specific Fuel Consumption: 0.6 Kilogram per Hour per Watt --> 0.000166666666666667 Kilogram per Second per Watt (Check conversion here)
Maximum Lift to Drag Ratio: 5.081 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_loiter(jet) = exp(((-1)*E*c)/LDmax_ratio) --> exp(((-1)*452.873*0.000166666666666667)/5.081)

Evaluating ... ...

F_loiter(jet) = 0.985254679046403

STEP 3: Convert Result to Output's Unit

0.985254679046403 --> No Conversion Required

FINAL ANSWER

0.985254679046403 ≈ 0.985255 <-- Loiter weight Fraction for Jet aircraft

(Calculation completed in 00.004 seconds)

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< 18 Jet Airplane Calculators

Thrust-Specific Fuel Consumption for given Range of Jet Airplane

Go Thrust-Specific Fuel Consumption = (sqrt(8/(Freestream density*Reference Area)))*(1/(Range of aircraft*Drag Coefficient))*(sqrt(Lift Coefficient))*((sqrt(Gross Weight))-(sqrt(Weight without fuel)))

Range of Jet Airplane

Go Range of aircraft = (sqrt(8/(Freestream density*Reference Area)))*(1/(Thrust-Specific Fuel Consumption*Drag Coefficient))*(sqrt(Lift Coefficient))*((sqrt(Gross Weight))-(sqrt(Weight without fuel)))

Maximum Lift to Drag Ratio given Range for Jet Aircraft

Go Maximum Lift to Drag Ratio = (Range of aircraft*Specific Fuel Consumption)/(Velocity at Maximum Lift to Drag Ratio*ln(Weight at Start of Cruise Phase/Weight at End of Cruise Phase))

Specific Fuel Consumption given Range for Jet Aircraft

Go Specific Fuel Consumption = (Velocity at Maximum Lift to Drag Ratio*Maximum Lift to Drag Ratio*ln(Weight at Start of Cruise Phase/Weight at End of Cruise Phase))/Range of aircraft

Breguet Range

Go Range of aircraft = (Lift-to-drag ratio*Flight Velocity*ln(Initial Weight/Final Weight))/([g]*Thrust-Specific Fuel Consumption)

Breguet Endurance Equation

Go Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*(Lift Coefficient/Drag Coefficient)*ln(Gross Weight/Weight without fuel)

Thrust-Specific Fuel Consumption for given Endurance of Jet Airplane

Go Thrust-Specific Fuel Consumption = Lift Coefficient*(ln(Gross Weight/Weight without fuel))/(Drag Coefficient*Endurance of Aircraft)

Endurance of Jet Airplane

Go Endurance of Aircraft = Lift Coefficient*(ln(Gross Weight/Weight without fuel))/(Drag Coefficient*Thrust-Specific Fuel Consumption)

Cruise Weight Fraction for Jet Aircraft

Go Cruise Weight Fraction = exp((Range of aircraft*Specific Fuel Consumption*(-1))/(0.866*1.32*Velocity at Maximum Lift to Drag Ratio*Maximum Lift to Drag Ratio))

Constant Speed Cruise using Range Equation

Go Range of aircraft = Flight Velocity/(Thrust-Specific Fuel Consumption*Total Thrust)*int(1,x,Weight without fuel,Gross Weight)

Lift-to-Drag ratio for given Range of Propeller-Driven Airplane

Go Lift-to-drag ratio = Specific Fuel Consumption*Range of aircraft/(Propeller Efficiency*ln(Gross Weight/Weight without fuel))

Maximum Lift to Drag Ratio given Preliminary Endurance for Jet Aircraft

Go Maximum Lift to Drag Ratio = (Endurance of Aircraft*Specific Fuel Consumption)/ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase)

Specific Fuel Consumption given Preliminary Endurance for Jet Aircraft

Go Specific Fuel Consumption = (Maximum Lift to Drag Ratio*ln(Weight at Start of Loiter Phase/Weight at End of Loiter Phase))/Endurance of Aircraft

Thrust-Specific Fuel Consumption for given Endurance and Lift-to-Drag ratio of Jet Airplane

Go Thrust-Specific Fuel Consumption = (1/Endurance of Aircraft)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel)

Endurance for given Lift-to-Drag ratio of Jet Airplane

Go Endurance of Aircraft = (1/Thrust-Specific Fuel Consumption)*Lift-to-drag ratio*ln(Gross Weight/Weight without fuel)

Lift-to-Drag ratio for given Endurance of Jet Airplane

Go Lift-to-drag ratio = Thrust-Specific Fuel Consumption*Endurance of Aircraft/(ln(Gross Weight/Weight without fuel))

Loiter Weight Fraction for Jet Aircraft

Go Loiter weight Fraction for Jet aircraft = exp(((-1)*Endurance of Aircraft*Specific Fuel Consumption)/Maximum Lift to Drag Ratio)

Average Value Range Equation

Go Average Value Range Equation = Weight/(Thrust-Specific Fuel Consumption*(Drag Force/Flight Velocity))

Loiter Weight Fraction for Jet Aircraft Formula

Loiter weight Fraction for Jet aircraft = exp(((-1)*Endurance of Aircraft*Specific Fuel Consumption)/Maximum Lift to Drag Ratio)
F_loiter(jet) = exp(((-1)*E*c)/LDmax_ratio)

What is Loiter?

In aeronautics and aviation, loiter is the phase of flight consisting of flying over some small region.
In general aviation, the loiter phase generally occurs at the end of the flight, when the plane is waiting for clearance to land. In military flights, such as aerial reconnaissance or ground-attack aircraft, the loiter phase is the time that the aircraft has over a target. Cruise is the time period the aircraft travels to the target and returns after the loiter.

How to Calculate Loiter Weight Fraction for Jet Aircraft?

Loiter Weight Fraction for Jet Aircraft calculator uses Loiter weight Fraction for Jet aircraft = exp(((-1)*Endurance of Aircraft*Specific Fuel Consumption)/Maximum Lift to Drag Ratio) to calculate the Loiter weight Fraction for Jet aircraft, The Loiter weight Fraction for Jet Aircraft formula is defined as the ratio of weight of aircraft at the beginning of loiter phase to weight of aircraft at the end of loiter phase. Loiter weight Fraction for Jet aircraft is denoted by F_loiter(jet) symbol.

How to calculate Loiter Weight Fraction for Jet Aircraft using this online calculator? To use this online calculator for Loiter Weight Fraction for Jet Aircraft, enter Endurance of Aircraft (E), Specific Fuel Consumption (c) & Maximum Lift to Drag Ratio (LDmax_ratio) and hit the calculate button. Here is how the Loiter Weight Fraction for Jet Aircraft calculation can be explained with given input values -> 0.997487 = exp(((-1)*452.873*0.000166666666666667)/5.081).

FAQ

What is Loiter Weight Fraction for Jet Aircraft?

The Loiter weight Fraction for Jet Aircraft formula is defined as the ratio of weight of aircraft at the beginning of loiter phase to weight of aircraft at the end of loiter phase and is represented as F_loiter(jet) = exp(((-1)*E*c)/LDmax_ratio) or Loiter weight Fraction for Jet aircraft = exp(((-1)*Endurance of Aircraft*Specific Fuel Consumption)/Maximum Lift to Drag Ratio). Endurance of aircraft is the maximum length of time that an aircraft can spend in cruising flight, Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time & Maximum Lift to Drag ratio of Aircraft while in cruise, the ratio of lift to drag coefficient is maximum in value.

How to calculate Loiter Weight Fraction for Jet Aircraft?

The Loiter weight Fraction for Jet Aircraft formula is defined as the ratio of weight of aircraft at the beginning of loiter phase to weight of aircraft at the end of loiter phase is calculated using Loiter weight Fraction for Jet aircraft = exp(((-1)*Endurance of Aircraft*Specific Fuel Consumption)/Maximum Lift to Drag Ratio). To calculate Loiter Weight Fraction for Jet Aircraft, you need Endurance of Aircraft (E), Specific Fuel Consumption (c) & Maximum Lift to Drag Ratio (LDmax_ratio). With our tool, you need to enter the respective value for Endurance of Aircraft, Specific Fuel Consumption & Maximum Lift to Drag Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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