geoprimsField-grade geospatial math

Specific range

How far each gallon of fuel takes you, through the air and over the ground, and the fuel each 100 takes, from your airspeed and fuel flow.

Planning and education aid. Not for primary navigation. Full disclaimer

Experimental: not yet fully verified. How results are checked

14.12NM/US gal

Each US gallon takes you 14.12 NM through the air; 100 NM takes 7.1 US gal.

Fuel per 100 NM through the air
Ground distance per gallon
Fuel per 100 NM over the ground
Provenance
Computed by
aviation.performance.specific-range 1.0.1, core 0.1.0
Model
Specific range = speed ÷ fuel flow: through the air with TAS, over the ground with groundspeed (PHAK, aircraft performance). Fuel per 100 NM is its reciprocal times 100
Accuracy
Exact for the entered speed and flow; as good as the POH or gauge flow you enter. Wind changes the ground figure, not the air one
Notes
1 shown with the answer
Cites
Federal Aviation Administration, Pilot's Handbook of Aeronautical Knowledge, FAA-H-8083-25C

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How we got thisFormula, worked example, sources, and proof

Model: Specific range = speed ÷ fuel flow: through the air with TAS, over the ground with groundspeed (PHAK, aircraft performance). Fuel per 100 NM is its reciprocal times 100

Show your work

  1. Fuel per 100 NM

    100 × fuel flow ÷ TAS

    100 × 8.5 gal/h ÷ 120 kt = 7.1 US gal

  2. Air distance per gallon

    TAS ÷ fuel flow

    120 kt ÷ 8.5 gal/h = 14.12 NM/US gal

The same steps an agent gets from the MCP server with explain: true.

Accuracy: Exact for the entered speed and flow; as good as the POH or gauge flow you enter. Wind changes the ground figure, not the air one

Worked example: 120 kt true at 8.5 gal/h, 105 kt over the ground. Source: Worked from the definition: 120 ÷ 8.5 = 14.12 NM per gallon through the air, 105 ÷ 8.5 = 12.35 over the ground. It is golden test vector v001, and every build checks the tool still gives its answer within its tolerance.

You enter

Fuel flow
8.5 gph
Groundspeed
105 kt
True airspeed
120 kt

You get

Air distance per gallon
14.12 NM/US gal
Fuel per 100 NM through the air
7.1 US gal
Ground distance per gallon
12.35 NM/US gal
Fuel per 100 NM over the ground
8.1 US gal

Review: Not yet independently reviewed by a flight instructor (CFI).

Last verified: 2026-09-19, when a maintainer last confirmed this tool's sources at the issuer. See the sources ledger.

Status: version 1.0.1, core 0.1.0. See this tool in the verification report.

Changes

Checked against: 8 golden test vectors (download the test vectors, each with its source and tolerance). See how results are checked and every source.

Sources

Terms

NM: nautical mile
A distance of exactly 1,852 meters, about one minute of latitude. Aviation and marine navigation measure distance in it. Source: ICAO Annex 5 Units of Measurement
POH: Pilot's Operating Handbook
The manufacturer's handbook for an aircraft: limitations, procedures, performance charts, and weight-and-balance data. Its numbers govern over any calculator. Source: Pilot's Handbook of Aeronautical Knowledge

Experimental means this tool has not yet met the stable bar: at least 20 golden vectors, differential tests, and an independent worked example.

NM — nautical mile

A distance of exactly 1,852 meters, about one minute of latitude. Aviation and marine navigation measure distance in it.

Source: ICAO Annex 5 Units of Measurement