BEARING CONVERSION

DIRECTION

THE MAGNETIC DECLINATION IS POSITIVE

WHY CONVERT BETWEEN MAGNETIC AND GRID BEARINGS?

Bearings taken with a compass are taken with reference to Magnetic North. Bearings measured on a map are taken with reference to Grid North (or True North for non-UTM maps). The Magnetic Declination at the location and time must be taken into account.
This is where the declination diagram drawn on the map comes into play.

DECLINATION DIAGRAM

The declination diagram for Mount Wilson is shown below. The values are correct for 2000.
The Magnetic North is east of True North: the Magnetic Declination and Grid-Magnetic Angle are positive.

Declination Diagram - Mount Wilson 3rd Edition Map
Declination Diagram - Mount Wilson 3rd Edition Map

The Grid Convergence is 1.5°. The angle between True North and Grid North does not change with time.
The Grid/Magnetic Angle is 10.9° in 2000. This angle changes with time as the magnetic field varies.

The Magnetic Declination the angle between True North and Magnetic North) in 2000 was 10.9° + 1.5° = 12.4°.
In 2023, the Magnetic Declination is 12.34° in Mount Wilson.

REMEMBER
  • The angle of interest is the Grid/Magnetic Angle: the angle between Magnetic North and Grid North.
  • Angles are always measured clockwise from the north-south line.

CONVERTING GRID BEARINGS TO MAGNETIC BEARINGS

You have measured a Grid Bearing on your map and you want to set this bearing on your compass.

The Grid Bearing is measured with respect to Grid North and is shown as a black arc
The Magnetic Bearing is measured with respect to Magnetic North and is shown as a red dashed arc.

Note: this diagram is an illustration and is not to scale.

From the diagram, it is easy to see that magnetic bearing (?) is smaller than the grid bearing: we need to subtract the Grid/Magnetic Angle (10.9° ) from the Grid Bearing to calculate the Magnetic Bearing.

GRID BEARING – GRID/MAGNETIC ANGLE = MAGNETIC BEARING

CONVERTING MAGNETIC BEARINGS TO GRID BEARINGS

You have taken a Magnetic Bearing with your compass and you want to plot the Grid Bearing on the map.

The Magnetic Bearing is measured with respect to Magnetic North and is shown as a red arc
The Grid Bearing is measured with respect to Grid North and is shown as a black dashed arc.

Note: this diagram is an illustration and is not to scale.

From the diagram, it is easy to see that Grid Bearing is larger than the Magnetic Bearing: we need to add the Grid/Magnetic Angle (10.9° ) from the Magnetic Bearing to calculate the Grid Bearing.

MAGNETIC BEARING + GRID/MAGNETIC ANGLE = GRID BEARING

IN SUMMARY

When the Magnetic Declination is positive, that is Magnetic North is moving in an easterly direction:

GRID BEARING – GRID/MAGNETIC ANGLE = MAGNETIC BEARING

MAGNETIC BEARING + GRID/MAGNETIC ANGLE = GRID BEARING