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Operation 23<br />

e) Input payload weight and calculated mission fuel weight, takeoff gross-weight<br />

fallout (must match gross-weight option): WG = WO + Wpay + Wfuel.<br />

The input fuel weight is Wfuel = min(dfuel + ffuelWfuel−cap,Wfuel−cap) + NauxtankWaux−cap. If the<br />

fuel weight is not calculated from the mission, then the mission is adjusted. The fixed useful load can<br />

have increments, including installed folding kits; other increments are specified for individual mission<br />

segments.<br />

The takeoff gross weight is evaluated at the start of the mission, perhaps maximized for zero power<br />

margin at a specified mission segment (either takeoff conditions or midpoint). Then the aircraft is flown<br />

for all segments. For calculated mission fuel weight, the fuel weight at takeoff is adjusted to equal the fuel<br />

required for the mission (burned plus reserve). For specified takeoff fuel weight with adjustable segments,<br />

the mission time or distance is adjusted so the fuel required for the mission (burned plus reserve) equals<br />

the takeoff fuel weight. The mission iteration is thus on mission fuel weight. Range credit segments<br />

(described at the end of this section) can also require an iteration. A successive substitution method<br />

is used if an iteration is required, with a tolerance ɛ specified. The iteration to maximize takeoff gross<br />

weight could be an outer loop around the mission iteration, but instead it is executed as part of the mission<br />

iteration. At the specified mission segment, the gross weight is maximized for zero power margin, and<br />

the resulting gross-weight increment added to the takeoff gross weight for the next mission iteration.<br />

Thus takeoff gross weight is also a variable of the mission iteration.<br />

Each mission consists of a specified number of mission segments. The following segment types<br />

can be specified:<br />

a) Taxi or warm-up (fuel burned but no distance added to range).<br />

b) Distance: fly segment for specified distance (calculate time).<br />

c) Time: fly segment for specified time (calculate distance).<br />

d) Hold: fly segment for specified time (loiter, so fuel burned but no distance added<br />

to range).<br />

e) Climb: climb or descend from present altitude to next segment altitude (calculate<br />

time and distance).<br />

f) Spiral: climb or descend from present altitude to next segment altitude; fuel<br />

burned but no distance added to range.<br />

For each mission segment a payload weight can be specified; or a payload weight change can be specified,<br />

as an increment from the initial payload or as a fraction of the initial payload.<br />

The number of auxiliary fuel tanks can change with each mission segment: Nauxtank is adjusted<br />

based on the fuel weight (optionally only increased relative to the input number at takeoff, optionally fixed<br />

during mission). For input fuel weight, Nauxtank is specified at takeoff. For fallout fuel weight, the takeoff<br />

fuel weight is adjusted for the auxiliary-fuel-tank weight given Nauxtank (fixed WG−Wpay = WO +Wfuel).<br />

If the auxiliary-tank weight is greater than the increment in fuel weight needed, then the fallout fuel<br />

weight Wfuel = WG − WO − Wpay can not be achieved; in such a case, the fuel weight is capped at the<br />

maximum fuel capacity and the takeoff payload weight adjusted instead. For fuel-tank design missions,<br />

Nauxtank and fuel-tank capacity is determined from Wfuel. Optionally the aircraft can refuel (either on<br />

the ground or in the air) at the start of a mission segment, by either filling all tanks to capacity or adding<br />

a specified fuel weight. Optionally fuel can be dropped at the start of a mission segment. The fixed<br />

useful load can have adjustments, including crew-weight increment; furnishings-weight increment; and<br />

installed wing extension and other kits.

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