# Magnetic declination

Example of magnetic declination showing a compass needle with a "positive" (or "easterly") variation from geographic north.

The magnetic declination (also known as grid magnetic angle in military circles, if the grid is aligned to true north) at any point on the Earth is the angle between the local magnetic field—the direction the north end of a compass points—and true north. The declination is positive when the magnetic north is east of true north. The term magnetic variation is equivalent, and is more often used in aeronautical and other forms of navigation. Isogonic lines are where the declination has the same value, and the lines where the declination is zero are called agonic lines.

## Change of declination in time and space

Magnetic declination varies both from place to place, and with the passage of time. As a traveller cruises the east coast of the United States, for example, the declination varies from 20 degrees west (in Maine) to zero (in Florida), to 10 degrees east (in Texas), meaning a compass adjusted at the beginning of the journey would have a true north error of over 30 degrees if not adjusted for the changing declination.

In most areas, the spatial variation reflects the irregularities of the flows deep in the earth; in some areas, deposits of iron ore or magnetite in the Earth's crust may contribute strongly to the declination. Similarly, secular changes to these flows result in slow changes to the field strength and direction at the same point on the Earth.

The magnetic declination in a given area will change slowly over time, possibly as much as 2-2.5 degrees every hundred years or so, depending upon how far from the magnetic poles it is. This may be insignificant to most travellers, but can be important if using magnetic bearings from old charts or metes (directions) in old deeds for locating places with any precision. Simply speaking, true north is the direction in which the north pole is located along the Earth's rotational axis.

On the other hand, magnetic north is the direction toward which the compass needle points.

## Stating the declination

Magnetic declination described by signed degrees

There are three main ways of stating the declination for a given location:

• In a diagram
• On some maps intended for wilderness or navigational use, including the topographic maps of the U.S. Geological Survey (USGS), a diagram shows the relationship between magnetic north in the area concerned (with an arrow marked "MN") and true north (a vertical line with a five-pointed star at its top), with a label near the angle between the MN arrow and the vertical line, stating the size of the declination and of that angle, in degrees, mils, or both. (On USGS maps, the diagram is near the lower left hand corner, and the information labelled "GN" (grid north) in the same diagram is irrelevant to this discussion.)
• As the numeric size of the angle between magnetic and true north, and the direction from true north to magnetic north.
• For instance, "10° W" would indicate that magnetic north lies 10 degrees counter-clockwise from true north.
• Lines of equal declination (isogonic lines) are shown on aeronautical and nautical charts.
• As the signed number of degrees, where a positive angle indicates clockwise from true north and a negative counter-clockwise.
• For instance, "-10°" would indicate the same as the "10° W" just discussed.

Declination converts between true and magnetic bearings: True Bearing equals Magnetic Bearing plus Magnetic Declination. (See http://www.ngdc.noaa.gov/geomag/faqgeom.shtml question 5d).

## Learning the declination for an area

Most use of declination is in conjunction with a map; as stated, that map may state (or even illustrate) the local declination. If not,

• A general isogonic chart of the world or continent can be consulted for a rough estimate of the local declination (within a few degrees).
• A prediction of the current magnetic declination for a given location (based on a worldwide empirical model of the deep flows described above) can also be obtained on-line from a web page operated by the National Geophysical Data Center, a division of the National Oceanic and Atmospheric Administration of the United States.

One would of course rather have the real declination than a prediction. However, a map is sure to be months or years out of date, whereas the model is built with all the information available to the map makers at the start of the five-year period it is prepared for. The model reflects a highly predictable rate of change, and will usually be more accurate than a map, and almost never less accurate.

## Using the declination

With a compass lacking an adjustable baseplate, a careful, well-practiced, compass user can analyse the combination of declination and task, and decide whether the declination is to be added or subtracted from the known direction to determine an unknown direction.

In a place where the declination needs to be subtracted from an angle measured on a map from true north to a destination, to learn the compass reading to follow (on an unadjusted compass) to walk that course, the declination needs to be added to the compass reading that a landmark lies along, to learn the direction on the map to seek the name to match the landmark with.

In navigation the terminology of geomagnetism is used differently. In particular, magnetic declination is divided into two parts, namely magnetic variation and magnetic deviation. There are also three types of bearings—true, magnetic, and compass—which are related by the rules:

• Compass bearing +/- deviation = magnetic bearing
• Magnetic bearing +/- variation = true bearing

This relationship (finding what the compass should show when the true course is known) is frequently taught as:

• T = true course;
• V = variation (of the Earth's magnetic field);
• M = magnetic course (what the course would be in the absence of local declination);
• D = deviation caused by magnetic material (mostly iron and steel) on the vessel;
• C = compass course.

If one knows the course shown by the compass and wishes to find the course relative to true north, the steps are inverted and the signs of deviation and variation inverted.

A simple way of remembering which way to apply the correction is as follows: (in the Continental USA) For locations east of the agonic line (zero declination), roughly east of the Mississippi: The magnetic bearing is always bigger. For locations west of the agonic line (zero declination), roughly west of the Mississippi: The magnetic bearing is always smaller.

### Variation

Magnetic variation is the difference between true bearings and magnetic bearings and is caused by the different locations of the Geographic North Pole and the Magnetic North Pole plus any local anomalies such as iron deposits. Variation is the same for all compasses in the same location and is usually stated on good quality maps and charts, along with the date it was measured.

### Deviation

Magnetic deviation is the difference between magnetic bearings and compass bearings. Deviation varies for every compass in the same location and depends on such factors as the magnetic field of the boat, wristwatches, etc. The value will also vary depending on the orientation of the boat. Magnets and/or iron masses can be used to correct for deviation so that a particular compass will accurately give magnetic bearings. More commonly, however, a correction card will be drawn up listing errors for the compass which can then be compensated for arithmetically.

Magnetic declination has a very important influence on air navigation, since the most simple aircraft navigation instruments are designed to determine headings by locating magnetic north through the use of a compass or similar magnetic device.

Aviation sectionals (maps / charts) and databases used for air navigation are based on True north rather than magnetic north, and the constant and significant slight changes in the actual location of magnetic north and local irregularities in the planet's magnetic field require that charts and databases be updated at least 2 times per year to reflect the current magnetic variation correction from True north. For example, near San Francisco, TRUE north is about 14.5 degrees less than magnetic north.

When plotting a course, a pilot in most small planes will plot a trip using true north on a sectional (map), then, convert the true north bearings to magnetic north for in-plane navigation use (which rely on cockpit instruments that read magnetic north).

Radionavigation aids located on the ground, such as VORs, are also checked and updated to keep them aligned with magnetic north to allow pilots to use their magnetic compasses for accurate and reliable in-plane navigation

GPS systems used for air navigation can use magnetic north or true north. In order to make them more compatible with systems that depend on magnetic north, magnetic north is often chosen, at the pilot's preference. The GPS receiver natively reads in true north, but can elegantly calculate magnetic north based on its true position and data tables calculate the current location and direction of the north magnetic pole and (potentially) any local variations, if the GPS is set to use magnetic compass readings.