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How to calculate the SORA operational volume

Updated

In a SORA application you must show the airspace your drone will use, and the ground it could fall on, as three nested layers: the flight geography, the contingency volume around it and the ground risk buffer beyond that. Each is calculated from your aircraft’s speed, size and failure behaviour using a published dimensioning method — this guide walks through every term.

The three layers

  • Flight geography — where you intend to fly, drawn by you: the area and the height band (H_FG) of the planned operation.
  • Contingency volume — a margin around it (lateral S_CV, vertical H_CV) that absorbs navigation error, your reaction time and the manoeuvre that stops the aircraft once it leaves the flight geography.
  • Ground risk buffer — ground beyond the contingency volume (S_GRB) where the aircraft could land after a flight termination, which must be treated as part of the overflown area.

Together the flight geography and contingency volume form the operational volume. The method also defines an adjacent volume around it — two minutes of flight at V0 laterally, and 150 m above — used for the air risk assessment.

The formulas

V0 is the maximum operating speed, CD the characteristic dimension, t the reaction time and g = 9.81 m/s². For a multirotor that stops by pitching (θ) and a ground risk buffer by the 1:1 rule or a ballistic fall:

S_CV = S_GPS + S_Pos + S_K + S_RZ + S_CM
S_RZ = V0 × t
S_CM (multirotor stop) = ½ V0² / (g × tan θ)
H_CV = H_FG + H_baro + H_RZ + H_CM
H_RZ = 0.7 × V0 × t
H_CM (multirotor) = ½ V0² / g
S_GRB (1:1 rule) = H_CV + ½ CD
S_GRB (ballistic) = V0 × √(2 H_CV / g) + ½ CD

H_baro is 1 m with barometric height and 4 m with GNSS height. Fixed-wing aircraft use a turn radius (V0² / (g × tan φ)) instead of a stop, and a parachute termination replaces the manoeuvre with the distance flown while the canopy opens.

The method defaults

The method publishes defaults for the terms you may not have measured. You can override any of them, but the override must be justified to your authority:

TermDefault
Reaction time t1 s
GNSS inaccuracy S_GPS3 m
Position-holding error S_Pos3 m
Map error S_K1 m
Multirotor stopping pitch θ45° (maximum)
Fixed-wing turn roll φ30° (maximum)

A worked example

A multirotor flying at up to V0 = 10 m/s, with CD = 0.5 m, a flight geography up to 120 m, barometric height and every other term at its default:

TermResult
S_RZ = 10 × 110 m
S_CM = ½ × 10² / (9.81 × tan 45°)5.1 m
S_CV = 3 + 3 + 1 + 10 + 5.122.1 m
H_RZ = 0.7 × 10 × 17 m
H_CM = ½ × 10² / 9.815.1 m
H_CV = 120 + 1 + 7 + 5.1133.1 m
S_GRB, 1:1 rule = 133.1 + 0.25133.4 m
S_GRB, ballistic = 10 × √(2 × 133.1 / 9.81) + 0.2552.3 m

The choice of ground-risk-buffer method matters more than any other input here: the ballistic calculation gives a buffer less than half the size of the 1:1 rule, but you must be able to justify that the aircraft actually falls ballistically when terminated.

Calculate it for your operation

The GeoPilot SORA calculator applies this method to your own inputs and shows every term with where it came from — your input, a method constant or a calculation — so your application can carry the derivation. It dimensions the volumes; it does not produce the GRC, ARC or SAIL of a full SORA.

These figures are an aid to preparing an application, not an authorization or a regulatory approval. Every value must be verified and justified by the operator to the competent authority.

Frequently asked questions

Is the contingency volume part of the operational volume?
Yes. The operational volume is the flight geography plus the contingency volume; the ground risk buffer lies outside it, on the ground.
Can I use a smaller ground risk buffer than the 1:1 rule?
Yes, if a different method applies to your aircraft — a ballistic fall, a parachute or a glide — and you can justify it to your authority. The 1:1 rule is the simple, conservative default.

Related guides

Sources

GeoPilot

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