FlightDesk
Mass & Balance fundamentals

Weight, Moment, Centre of Gravity and Envelope

Use data for the individual aircraft registration, add masses and moments and verify the centre of gravity at take-off and landing without relying on generic constants.

A valid calculation starts with the individual aircraft

Two aircraft of the same model can have different empty mass and centre of gravity because of equipment, repairs and modifications. Use the current weighing report and approved data for the specific registration, with the correct arms, limits and envelope.

Registration, model and empty mass are not enough. You also need empty moment or CG, station arms, fuel data and the correct approved envelope.

Three fundamental quantities

QuantityMeaningRelationship
MassAircraft, occupants, baggage and fuelUse one consistent unit
ArmDistance from the manufacturer datumComes from approved data; the user does not choose it
MomentTurning effect of a mass at its armMoment = mass × arm

Centre of gravity equals total moment divided by total mass. If the manufacturer uses indices or reduced units, retain the exact approved conversion.

Data required in a complete aircraft profile

  • Registration, model and current configuration.
  • Empty mass and empty moment or CG.
  • Seat, baggage and fuel-tank arms.
  • Maximum ramp, take-off and landing masses.
  • Forward and aft CG envelope limits.
  • Usable fuel capacity, arm and approved conversion.
  • Date and source of weighing data.

Calculate take-off and landing conditions

  1. Assign occupants and baggage to correct stations.
  2. Convert usable fuel volume to mass using the applicable method.
  3. Calculate take-off mass, moment and CG.
  4. Subtract trip fuel and its moment for landing.
  5. Verify both points against the envelope and all mass limits.

Fuel burn can move CG when tank arm differs from current CG. Lower landing mass is not automatically a more favourable condition.

Inside the envelope does not prove sufficient performance

NCO.POL.100 requires operation within approved limitations throughout flight. A valid balance point does not prove adequate runway, climb or landing performance. Also assess obstacles, density altitude, wind, surface and every AFM or POH limitation.

When data must be updated

Under NCO.POL.105, mass data must reflect current configuration. Modifications, repairs and equipment changes must be documented, and the aircraft reweighed when their effect cannot be determined accurately by calculation.

Before each calculation, compare profile date, registration and configuration with aircraft records.

Frequently asked questions

Common questions

Can I use empty mass from another aircraft of the same model?

No. Use current data for the individual registration.

Difference between arm and moment?

Arm is distance from datum; moment is mass multiplied by arm.

Why calculate both take-off and landing CG?

Fuel burn changes mass and moment, so both points must remain within limits.

Does being inside the CG envelope guarantee take-off performance?

No. Runway, climb, obstacles, weather and AFM or POH limitations also require assessment.

When should mass data be updated?

After relevant configuration changes and whenever their effect cannot be established accurately.