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v0.9.21 · 2026-09-02
AE481 · Lesson 9

Performance

Describe what an aircraft can do—and show where requirements, energy, and maneuver limits shape the design.

Performance turns design predictions into evidence

A credible performance story connects requirements to mission outcomes and explains the aircraft’s energy and maneuver capability.

RFP compliance

Report each requirement by name and distinguish threshold, objective, and predicted capability.

Mission performance

Show fuel burns and range–payload–loiter tradeoffs across the mission.

Maneuverability

Use specific excess power (Ps), E–M diagrams, V–n limits, and corner velocity to explain agility.

Make RFP compliance unmistakable

Use color to communicate the result, but retain the numbers so the reader can verify the margin.

Design requirementThresholdObjectivePredicted capability
Per-unit cost$50M$35M$55M
Mission radius1,750 nm2,250 nm1,825 nm
Runway length10,000 ft8,000 ft7,500 ft
Maximum speedMach 1.6Mach 2.1Mach 1.59

Mission fuel burns expose the expensive segments

Change the reserve and loiter assumptions to see how fuel allocation—and the remaining design margin—shift.

Mission fuel—
Fuel margin—

Range and loiter compete for the same fuel

The feasible combinations lie below a concept’s trade line. A point can satisfy either requirement alone and still miss the combined mission.

Mission radius (NM)On-station loiter (hr)
Selected requirement—

Specific excess power (Ps) shows where energy is available

Positive Ps can become climb or acceleration. The zero contour marks the sustained-performance boundary.

Mach numberAltitude (ft)
Specific excess power—
Can become—

Energy definition

Ps=dhdt+(Vg)(dVdt)=V(T−D)W

Streak Eagle converted excess power into record climbs

The record profile alternated acceleration, pull-up, and climb segments instead of following one constant condition.

Streak Eagle energy-profile specific-excess-power chart and record-climb trajectory
Streak Eagle 30,000-meter time-to-climb profileThe supplied profile-only Streak Eagle climb image. Hover or keyboard-focus the flight path for details.

Rate and Radius - Level turn performance

For a coordinated level turn, the same speed and load factor determine both how quickly and how tightly the aircraft turns.

True airspeed (kt)Normalized turn response

Coordinated level turn

ω=g√(n2−1)VR=V2g√(n2−1)
R = —ω = —Top view · circle size follows R; orbit period follows the selected angular rate
Turn rate—
Turn radius—

Corner velocity is where lift and structural limits meet

The V–n diagram combines aerodynamic stall boundaries with positive and negative structural load limits to define the maneuver envelope.

Equivalent airspeed (kt)Load factor, n (g)

Corner velocity

Vcorner=V*=2nmaxWρSCLmax
Pos corner velocity—
Neg corner velocity—

For teaching clarity, the negative stall boundary uses the selected CL,max magnitude. The 30 ft/s sharp-edged gust overlay assumes sea-level EAS, CLα = 5.7/rad, and no gust-alleviation factor.

Energy–maneuverability (E–M) diagram

At constant altitude, turn-rate, turn-radius, load-factor, and specific-excess-power boundaries reveal where the aircraft can sustain or trade energy during a maneuver.

Notional energy-maneuverability diagramTurn rate versus Mach with constant load-factor curves, constant turn-radius rays, a red maximum-load boundary, a blue minimum-radius boundary, a green zero-specific-excess-power boundary, and marked Mach numbers for maximum load, maximum turn rate, and minimum turn radius.MACHTURN RATE, ω1.11.5234567n5,000 ft10,000 ftRHc = CONSTPs = 0abccMR min<bMω max<aMn max
Detailed energy-maneuverability chart showing turn rate versus Mach number, load-factor curves, turn-radius lines, and specific-excess-power contours
Detailed E–M reference chart from the supplied lesson material.
For this notional constant-altitude case: Mach at minimum turn radius < Mach at maximum turn rate < Mach at maximum load factor.

F-16 E–M Dogfight: Energy Trade Through a Two-Circle Fight

Two identical F-16s merge on reciprocal headings and pull 9 g. Before their descending corner turns carry them past one another, they point nose-to-nose, unload to 1 g, accelerate, re-merge, and resume the 9-g descent. At 500 ft MSL, Blue uses a minimum-radius turn to bring its nose onto Red.

Blue F-16, top viewRed F-16, top viewN2,000 ft
Top view · symmetric two-circle fight
500 ft floorBlue F-16, side viewRed F-16, side viewAltitude (ft MSL)Downrange position
Side view · altitude is traded to hold corner speed
15,000 ft MSLBlue envelopeRed envelopeinstantaneousP_s = 0Turn rate (deg/s)Airspeed (kt)
Notional F-16 E–M state · dots are offset only for visibility
PhaseMerge
Airspeed540 kt
Altitude15,000 ft
Load factor9.0 g
Turn rate—
Specific excess power—

Notional teaching model: each aircraft now takes corner speed, turn rate, acceleration, descent rate, and sustained performance from its own altitude-dependent E–M envelope and limits. The max-g entry converts negative Ps into level-flight deceleration until corner speed; transitions from corner to best sustained rate and to Blue’s unsustained minimum-radius boundary remain discrete. Blue then decelerates along the lift-limited boundary until reaching the 1-g level-flight stall. Ps contours run from −1,000 to +500 ft/s in 250-ft/s increments. Dashed gray radius contours are fixed kinematic references—altitude moves the performance envelopes, not the radius lines. The engagement stops when either aircraft records its third valid nose-on PEW.

F-15A/F-16C Turn Performance Comparison

At 10,000 ft, the overlaid turn-rate envelopes show how configuration, weight, and energy limits shape the two fighters' maneuver performance.

F-15A and F-16C turn-performance comparison at 10,000 feet, showing turn rate versus Mach number with load-factor, radius, and energy contoursF-15F-16
F-15A/F-16C turn-performance comparison from the supplied lesson material.

Aircraft purpose reshapes the maneuver envelope

Thrust loading and wing loading help explain why a fighter and a bomber occupy very different performance spaces.

MetricF-15CB-52H
Sea-level thrust48,000 lb68,000 lb
Takeoff weight42,650 lb225,000 lb
Wing area608 ft²4,000 ft²
TSL/WTO1.140.30
WTO/S69.1 psf56 psf
Comparison of F-15C and B-52H aircraft and design metrics
The fighter’s high thrust loading supports rapid energy addition; the bomber’s design prioritizes payload, endurance, and efficient cruise.