Knowledge / Aviation (B.Sc Aviation; pilot / airport operations) / Flight planning, weight and balance

Flight planning, weight and balance

Aviation (B.Sc Aviation; pilot / airport operations) (B.Sc Aviation) · Navigation and meteorology · free study notes for exams, placements and interviews

In short

Flight planning is the process of deciding, before every flight, the route, cruising level, fuel, alternates and payload that make the flight legal, safe and economical; weight and balance is the parallel exercise of ensuring the aircraft's actual weight and its centre of gravity (CG) lie inside the manufacturer's certified envelope. The two are inseparable: the fuel the plan demands is weight, and that weight fixes both the maximum payload and the CG at every stage of the flight. In India the rules come from the Bharatiya Vayuyan Adhiniyam, 2024 (in force from 1 January 2025, replacing the Aircraft Act, 1934) and the Aircraft Rules, 1937, with the operating detail in DGCA Civil Aviation Requirements (chiefly CAR Section 8 Series on operations) aligned to ICAO Annex 6 and Annex 2. B.Sc Aviation students are examined on fuel policy, load and trim sheets, CG arithmetic and the ICAO flight plan form; the same work is done daily by flight dispatchers (Flight Operations Officers), load controllers and pilots at IndiGo, Air India, Akasa, SpiceJet, Air India Express, Alliance Air and every ground handler (AISATS, Celebi, Bird, Air India Airport Services).

Explained

Weight definitions and the weight chain

Standard masses and the Indian practice

Balance: arms, moments and the CG envelope

Fuel planning

Required fuel for a flight (ICAO Annex 6 / DGCA CAR Section 8 structure):

  1. Taxi fuel - APU, engine start and ground manoeuvring at the departure aerodrome.
  2. Trip fuel - take-off, climb, cruise, descent, approach and landing at the destination.
  3. Contingency fuel - for unforeseen factors; the standard value is 5% of trip fuel (reducible to 3% with an approved en-route alternate, or to a statistical figure under an approved fuel-monitoring programme), with a floor of 5 minutes' holding at 1,500 ft above destination.
  4. Alternate (destination alternate) fuel - missed approach at destination, climb, cruise, descent and approach/landing at the alternate.
  5. Final reserve fuel - 30 minutes' holding at 1,500 ft above the elevation of the alternate (or destination if no alternate) at ISA for turbine aircraft; 45 minutes for piston aircraft.
  6. Additional fuel - where needed to satisfy isolated-aerodrome or engine-failure/depressurisation en-route scenarios.
  7. Discretionary (extra) fuel - at the commander's discretion.
  8. Block (ramp) fuel = items 1-7. Minimum take-off fuel = block − taxi.
  9. Alternate requirements: a destination alternate is normally mandatory; it may be dispensed with when the destination is isolated, or when the destination has an instrument approach and the weather for a defined window around ETA is comfortably above minima and the flight is short - the precise relief conditions and weather margins are in the operator's DGCA-approved operations manual.
  10. Tankering: carrying cheaper fuel from a station where ATF is cheaper, accepting extra burn to carry it; viable only when the price differential exceeds the cost of the carried weight. Indian ATF prices vary by state because of VAT, so intra-India tankering is routinely evaluated.
  11. Decision-point / re-dispatch procedures reduce carried reserves on long flights by re-planning in the air.
  12. Fuel monitoring: DGCA requires the operator to monitor consumption and keep performance factors (deterioration allowance) current per aircraft.

Route, level and performance planning

Documents: the flight plan, OFP and loadsheet

Structural and operational consequences of overload and mis-trim

Key points

Formulas and examples

Moment = W × d (W = weight in kg, d = balance arm from datum in m or in; moment in kg·m)
CG = Σ(W × d) / ΣW (CG as an arm from the datum, same unit as d)
% MAC = (CG arm − LEMAC) / MAC × 100 (LEMAC = arm of leading edge of MAC; MAC = mean aerodynamic chord length)
ZFW = DOW + Traffic load; TOW = ZFW + Take-off fuel; LW = TOW − Trip fuel
Allowed traffic load = min(MTOW − TOF, MLW + Trip − TOF, MZFW, MTW − Ramp fuel) − DOW (compared on a common basis)
Δ CG (shift) = (mass moved × distance moved) / total weight
Δ CG (add/remove) = mass added × (arm of mass − old CG) / new total weight
Block fuel = Taxi + Trip + Contingency + Alternate + Final reserve + Additional + Discretionary
Contingency = 5% × Trip fuel (3% with approved en-route alternate; floor = 5 min holding)
Index = W × (d − Reference arm) / K + C (K = scaling constant, C = constant to keep index positive)
Cost Index = Time-related cost per hour / Cost per kg of fuel
Specific Air Range SAR = TAS / Fuel flow (nm per kg); Specific Ground Range = GS / Fuel flow
Ground distance to PNR: D = E × GSout × GShome / (GSout + GShome) (E = safe endurance in hours, GS in kt)
Time to ETP from departure-side: T = D_total / (GSon + GSback) × ... → ETP distance = D × GSback / (GSon + GSback)

Example 1 - Light aircraft CG (actual weights, Cessna-type trainer). Datum at the firewall; BEW 745 kg at arm 0.95 m; pilot + instructor 150 kg at 1.80 m; fuel 90 kg at 1.95 m; baggage 20 kg at 2.85 m. CG limits 0.95-1.35 m at this weight.

ItemWeight (kg)Arm (m)Moment (kg·m)
Basic empty7450.95707.75
Front seats1501.80270.00
Fuel901.95175.50
Baggage202.8557.00
Total1,0051,210.25

CG = 1,210.25 / 1,005 = 1.2042 m → inside 0.95-1.35 m, so the loading is acceptable. Now burn 70 kg of fuel: new weight = 935 kg, new moment = 1,210.25 − (70 × 1.95) = 1,210.25 − 136.50 = 1,073.75 → CG = 1,073.75 / 935 = 1.1484 m. Burning fuel aft of the CG moved the CG forward, still in limits.

Example 2 - Load shift to bring CG into limits. A 1,200 kg aircraft has CG at 2.55 m; the aft limit is 2.50 m. Two bags totalling 40 kg are moved from the rear locker (arm 3.60 m) to the forward locker (arm 1.20 m), a shift of 2.40 m forward. Δ CG = (40 × 2.40) / 1,200 = 96 / 1,200 = 0.08 m forward → new CG = 2.55 − 0.08 = 2.47 m, now inside the aft limit with 0.03 m margin. Check by first principles: original moment = 1,200 × 2.55 = 3,060 kg·m; change = 40 × (1.20 − 3.60) = −96 kg·m → 2,964 / 1,200 = 2.47 m. ✔

Example 3 - Allowed traffic load and payload limitation (narrow-body jet, illustrative figures). DOW 43,000 kg; MZFW 62,500 kg; MTOW 79,000 kg; MLW 67,400 kg; block fuel 9,500 kg of which taxi 200 kg and trip 7,500 kg.

Resulting weights: ZFW = 62,500 kg; TOW = 71,800 kg (under MTOW by 7,200 kg); LW = 64,300 kg (under MLW by 3,100 kg). If 180 passengers and bags average 100 kg each = 18,000 kg, spare capacity for cargo = 19,500 − 18,000 = 1,500 kg.

Example 4 - % MAC conversion and stab trim decision. MAC = 4.19 m, LEMAC at arm 17.00 m. Total weight 71,800 kg with total moment 1,268,000 kg·m.

If the take-off envelope at this weight is 12-32 % MAC, the loading is legal but near the forward limit: the trim table will call for a relatively high nose-up stabiliser setting, and the forward CG costs a little take-off distance and cruise fuel. Moving 600 kg of cargo from the forward hold (arm 12.0 m) to the aft hold (arm 24.0 m) gives Δ CG = 600 × 12.0 / 71,800 = 0.1003 m aft → CG 17.7605 m = 18.15 % MAC, a more economical trim.

Example 5 - Fuel plan and PNR. Trip fuel 7,500 kg for 2 h 50 min; taxi 200 kg; alternate fuel 1,100 kg; final reserve (30 min holding) 1,050 kg; no additional or extra fuel; an approved en-route alternate permits 3% contingency.

D = 4.0 × 420 × 340 / (420 + 340) = 4.0 × 142,800 / 760 = 571,200 / 760 = 751.6 nm from departure; time to PNR = 751.6 / 420 = 1 h 47 min.

Limiting factorWeight basisPayload available (Example 3)
MZFW 62,500 kgStructural (wing bending)19,500 kg ← governs
MLW 67,400 kgStructural (gear/landing)22,600 kg
MTOW 79,000 kgStructural + performance26,700 kg
AspectForward CGAft CG
Longitudinal stabilityHigherLower
Elevator/control forcesHeavierLighter
Stall speedHigherLower
Take-off/landing distanceLongerShorter
Trim drag and fuel burnHigherLower
Stall recoveryEasierHarder

Where it is used

Interview questions

Common mistakes

Related topics

Air navigation: charts, dead reckoning and radio aids · Aviation meteorology · Aircraft performance and aerodynamics · Airport ground handling and ramp operations · Air traffic control and airspace rules · Aviation regulations: DGCA CARs and ICAO Annexes

Open in the Knowledge reader →Find jobs →