Magnetic deviation

Magnetic deviation is the error induced in a compass by local magnetic fields, which must be allowed for, along with magnetic declination, if accurate bearings are to be calculated. (More loosely, "magnetic deviation" is used by some to mean the same as "magnetic declination". This article is about the former meaning.)

Compass readings
Compasses are used to determine the direction of true North. However, the compass reading must be corrected for two effects. The first is magnetic declination or variation—the angular difference between magnetic North (the local direction of the Earth's magnetic field) and true North. The second is magnetic deviation—the angular difference between magnetic North and the compass needle due to nearby sources of interference such as magnetically permeable bodies, or other magnetic fields within the field of influence.

History
Sailing ships generally had two kinds of compasses: steering compasses, two of which would be mounted in a binnacle in front of the helm for use in maintaining a course; and a bearing compass that was used for taking the bearings of celestial objects, landmarks and the ship's wake. The latter could be moved around the ship, and it was soon observed that the bearing could vary from one part of the ship to another. The explorer Joao de Castro was the first to report such an inconsistency, in 1538, and attributed it to the ship's gun. Many other objects were found to be sources of deviation in ships, including iron particles in brass compass bowls; iron nails in a wooden compass box or binnacle; and metal parts of clothing. The two steering compasses themselves could interfere with each other if they were set too close together. The "bearing compass" was eventually sited in a fixed position in a binnacle with, as far as possible, an all round view and acquired the name "standard compass". It would nonetheless have a different deviation from the "steering compass", so the compass heading shown on the "steering compass" would be different from the compass heading shown on the "standard compass".

The source of deviation could not always be identified. To reduce this source of error, which was due to induced magnetization in the ship, the surveyor John Churchman proposed a solution known as swinging the ship in 1794. This involved measuring the magnetic deviation as the ship was oriented in several compass directions. These measurements could then be used to correct compass readings. This procedure became standard practice in the 19th century as iron became an increasing component of ships.



Once the compass has been corrected using small magnets fitted in the base and with soft iron balls, any residual deviation is recorded as a table or graph: the compass correction card, which is kept on board near the compass.

Archibald Smith in 1862 published Admiralty Manual for ascertaining and applying the Deviations of the Compass caused by the Iron in a Ship. The key insight is that the deviation can be written as a Fourier series in the magnetic heading with terms up to the second frequency components. This means that only five numbers are required to be estimated to determine the full deviation card. This method is still used by professional compass correctors who are employed to correct the compass and produce a deviation card.