ATPL Theory

Bearing And Direction

QDM, QDR, QTE, and QUJ, which are all Q-codes used in radio navigation (especially with VORs, RMIs, and ADFs). They describe bearings and directions between the aircraft and the navigation beacon.


Example Using VOR + RMI

Imagine:

  • Aircraft heading 090° (east)
  • RMI needle points 45° to the right (so station is at 135° relative bearing)
  • Magnetic variation = 10°E

Then:

Term Meaning Value
QDM Magnetic bearing to station 090° (heading) + 135° (relative) = 225°M
QDR Magnetic bearing from station 225° + 180° = 045°M
QTE True bearing from station 045° + 10° = 055°T
QUJ True bearing to station 225° + 10° = 235°T

✈️ Summary Table

Code Meaning Reference Direction Example
QDM Magnetic bearing to the station Magnetic North To station 045°
QDR Magnetic bearing from the station Magnetic North From station 225°
QTE True bearing from the station True North From station 235°
QUJ True bearing to the station True North To station 055°

The VOR system itself is referenced to the beacon’s magnetic variation


🔹 1. How a VOR defines direction

Every VOR station transmits radials that are defined with respect to magnetic north at the VOR’s location.

The line from the VOR to the aircraft is at 090° magnetic, measured using the magnetic variation at the VOR — not at the aircraft.


🔹 2. The OBS on your aircraft

When you rotate the OBS (Omni Bearing Selector) to select a course, the VOR receiver in your aircraft is interpreting your selection relative to the VOR’s magnetic frame.

So even though your aircraft’s compass may have a different local variation, the course indication (TO/FROM) and the radial information are both based on the beacon’s magnetic reference.


🔹 3. Therefore…

Both QDR (bearing from the station) and QDM (bearing to the station) are referenced to the same magnetic meridian — that of the VOR station.

✅ Hence, they are reciprocals:

$$ QDR = QDM ± 180° $$

no matter what the local variation is at your aircraft’s position.


VOR radial lies along a great circle (or very close to it), but its representation on a chart can make it look otherwise depending on the map projection.


A VOR radial is a line from the VOR station extending outward at a fixed magnetic bearing, measured clockwise from magnetic north at the station.

In geometry terms, it’s the shortest path between the VOR and any point on that line — and thus, it follows a great circle path across the Earth’s surface.

Each VOR radial = a great circle line starting at the beacon.


Bearing

Bearing is the direction or angle from one point to another, measured clockwise from a reference north (true, magnetic, or grid north).

So, it tells you “which way to look or travel” from your current position to reach something else — like a beacon, runway, or waypoint.


Types of Bearings

Type Reference Used For Example
True Bearing Measured clockwise from True North (geographic north pole) Charts and maps 045°T
Magnetic Bearing Measured clockwise from Magnetic North (where your compass points) VOR, ADF, compass headings 050°M
Grid Bearing Measured from Grid North (used on polar charts) High-latitude operations 048°G
Relative Bearing Measured clockwise from the aircraft’s nose (heading = 000°) ADF/RMI needle indication 045°R

Bearings vs Headings vs Tracks

Term Definition Key Point
Bearing Direction to or from an object Measured from north
Heading Direction the aircraft’s nose is pointing Affected by wind drift
Track Actual path over the ground May differ from heading due to wind

So:

  • Bearing tells you where something is.
  • Heading tells you where you’re pointing.
  • Track tells you where you’re actually moving.

Relation to Navigation Aids

  • VOR: The radial you’re on is the magnetic bearing from the VOR (QDR).
  • ADF/NDB: The pointer gives the relative bearing; adding your heading gives the magnetic bearing to the beacon (QDM).
  • RMI: Combines heading + bearing so the needle directly shows the magnetic bearing to or from the station.