Magnetic Declination Calculator

Calculate magnetic declination for any location and date. Convert between true north and magnetic north bearings with compass correction.

Positive = North, Negative = South (−90 to 90)
°
Positive = East, Negative = West (−180 to 180)
°
YYYY-MM-DD format
°
Magnetic Declination
179.75° West
179° 44′ 46.4″
Magnetic Inclination (Dip)
60.90°
Downward (Northern Hemisphere)
Total Field Intensity
52,357 nT
52.36 µT
Horizontal Intensity
25,467 nT
Compass-driving component
Converted Bearing
179.75°
Magnetic bearing
Correction Rule
Add to true
Declination West: magnetic north is west of true north
TNMN179.7° West

Regional Declination Reference

LocationLatLonDeclination
New York, USA40.71°-74.01°179.7° W
Los Angeles, USA34.05°-118.24°172.5° W
London, UK51.51°-0.13°166.6° E
Paris, France48.86°2.35°166.9° E
Tokyo, Japan35.68°139.65°173.1° W
Sydney, Australia-33.87°151.21°172.7° W
São Paulo, Brazil-23.55°-46.63°175.1° E
Anchorage, Alaska61.22°-149.90°162.5° W
Planning notes, formulas, and examples

About the Magnetic Declination Calculator

Magnetic declination (also called magnetic variation) is the angle between true north and magnetic north at any given point on Earth. Because a compass needle aligns with the local magnetic field rather than the geographic North Pole, navigators must correct their compass readings to determine true direction. This correction is essential for hiking, sailing, aviation, surveying, and any activity that depends on accurate directional measurement.

The magnitude and direction of declination varies dramatically with location. In parts of the eastern United States, declination may be 10-15° West, meaning magnetic north is west of true north. In parts of the western US, declination is East. Near the agonic line (zero declination, currently running through the central US), no correction is needed. In extreme locations like northern Canada, declination can exceed 30°.

This calculator uses a simplified model based on the International Geomagnetic Reference Field to estimate declination, inclination, and total field intensity for any location and date. It also converts between true and magnetic bearings, making it a practical tool for navigation planning and compass calibration.

When This Page Helps

Failing to account for magnetic declination leads to navigation errors that compound with distance. At 10° declination, you will be off by about 1,000 feet per mile traveled — enough to miss a trail junction, overshoot a waypoint, or navigate to the wrong location entirely.

It gives a declination estimate for any coordinates and includes the bearing conversion to make compass correction straightforward. The regional comparison table helps you understand how declination varies and plan for trips across different magnetic zones.

How to Use the Inputs

  1. Enter your latitude and longitude (use negative values for South and West).
  2. Select a preset city or enter coordinates manually.
  3. Enter the date for the calculation (declination changes over time).
  4. Read the magnetic declination — East means magnetic north is east of true north.
  5. Enter a bearing to convert between true and magnetic headings.
  6. Apply the correction: for East declination, subtract from true to get magnetic.
  7. Reference the regional table to compare declination across major cities.
Formula used
Magnetic Declination: • Declination: D = arctan(Y / X) • Inclination: I = arctan(Z / H) • Horizontal intensity: H = √(X² + Y²) • Total field: F = √(X² + Y² + Z²) • True to Magnetic: M = T − D (for East declination) • Magnetic to True: T = M + D (for East declination) Where X = north component, Y = east component, Z = vertical component of the geomagnetic field

Example Calculation

Result: Declination ≈ 12.4° West, True bearing 0° = Magnetic bearing 12.4°

At New York City in 2025, magnetic north is approximately 12.4° west of true north. A compass pointing to magnetic north actually points 12.4° west of the geographic North Pole. To convert a true bearing to magnetic, add 12.4° (for West declination).

Tips & Best Practices

  • Always check current declination before a trip — values printed on older maps may be outdated by several degrees.
  • Remember the mnemonic: "East is least, West is best" — subtract East declination from true, add West declination to true.
  • GPS devices show true bearings unless configured otherwise, so convert when comparing to compass readings.
  • Update your compass declination setting when traveling significant distances east or west.
  • Near the magnetic poles (above ~70° latitude), compass reliability degrades significantly — use GPS or celestial navigation.
  • For precision surveying, use the official NOAA calculator or WMM software for ±0.5° accuracy.

How the Earth's Magnetic Field Works

The Earth's magnetic field is generated by convection currents of molten iron in the outer core, a process called the geodynamo. This field roughly resembles that of a bar magnet tilted about 11° from the rotation axis, but with significant higher-order components that create regional variations. The magnetic poles do not coincide with the geographic poles and are constantly migrating — the north magnetic pole has moved more than 1,000 km in the last century.

The field at any point on Earth can be described by three components: the northward component (X), the eastward component (Y), and the downward component (Z). From these, we derive declination (the horizontal angle from true north) and inclination (the angle below horizontal).

Navigation Applications

For hikers and orienteers, magnetic declination is the most important correction to accurate land navigation. When transferring a bearing from a map to a compass or vice versa, the declination must be applied correctly. The consequences of omitting this correction scale with distance — a 15° error means you are nearly 1,600 feet off target for every mile walked.

Pilots use magnetic headings for VOR navigation and runway designations. Runway numbers are based on the magnetic heading rounded to the nearest 10° — this is why runways occasionally need to be renumbered as declination changes over decades.

Secular Variation and the World Magnetic Model

The Earth's magnetic field changes continuously, a phenomenon called secular variation. The World Magnetic Model (WMM), maintained by the US NOAA and the UK BGS, provides accurate forecasts of the geomagnetic field for 5-year epochs. The current model, WMM2025, is valid from 2025 to 2030. For most locations, the WMM is accurate to within ±0.5° for declination.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • True north (geographic north) is the direction toward the Earth's rotational axis at the North Pole. Magnetic north is where a compass needle points, determined by the Earth's magnetic field. These two directions rarely align exactly, and the angle between them is the magnetic declination.