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Magnetic Declination Calculator

Find the magnetic declination (compass variation) for any place on Earth and any date — the angle between true north and magnetic north. Computed with the official WMM2025 World Magnetic Model (NOAA/NCEI), the same model used by the NOAA online calculator.

Calculate declination

How it works

A compass needle points to magnetic north, but maps, GPS and land-survey bearings use true north (the geographic North Pole). The difference between them is the magnetic declination (also called variation). It changes with where you are — and slowly with time, as Earth's magnetic field drifts.

This calculator evaluates the full WMM2025 spherical-harmonic model (degree 12, published by NOAA/NCEI and the British Geological Survey, epoch 2025.0) for your coordinates and date, including linear secular variation — the same computation behind NOAA's official online declination calculator. Spot-checked against NOAA: our results agree to within 0.0001° at Jakarta, New York, London and Sydney.

Correcting a compass bearing: add easterly declination, subtract westerly declination.

true bearing = magnetic bearing + declination
(declination East = positive, West = negative)

Example: declination 12.82° E and a compass (magnetic) bearing of 90° → true bearing = 90 + 12.82 = 102.82°.

Frequently asked questions

What is magnetic declination?

Magnetic declination is the horizontal angle between true north (the direction of the geographic North Pole) and magnetic north (the direction a compass needle points), measured at your location. It is expressed in degrees East or West — for example "12° W" means magnetic north lies 12° west of true north.

What is the difference between declination, inclination and deviation?

Declination is the horizontal angle between true north and magnetic north and depends on where you are on Earth. Inclination (magnetic dip) is the vertical angle the field makes with the horizontal — about 0° at the magnetic equator and nearly 90° (straight down) near the magnetic poles. Deviation is completely different: it is the error a compass shows because of magnetic material near the compass itself (a car, a phone, a steel ship), not a property of the location.

How do I correct a compass bearing with declination?

Use: true bearing = magnetic bearing + declination, counting easterly declination as positive and westerly as negative. So with 10° E declination, a magnetic bearing of 45° becomes a true bearing of 55°. With 10° W declination it becomes 35°. To go the other way: magnetic bearing = true bearing − declination.

What does "declination East" vs "declination West" mean?

"East" means magnetic north is east of true north (positive declination, e.g. +12.8° in Sydney); "West" means magnetic north is west of true north (negative declination, e.g. −12.5° in New York). The sign convention used by navigators and by this calculator is: East positive, West negative.

Why does magnetic declination change over time?

Earth's magnetic field is generated by moving molten iron in the outer core, so the field pattern drifts — this slow drift is called secular variation. Most places see declination change by a few hundredths of a degree per year (for example about +0.02°/yr in Jakarta and +0.17°/yr in London in 2026). This calculator applies the WMM2025 secular-variation coefficients, so it also reports the annual change for your date.

What is WMM2025 and how accurate is it?

WMM2025 is the World Magnetic Model for 2025–2030, published by NOAA (USA) and the British Geological Survey (UK). It represents Earth's main magnetic field as 168 spherical-harmonic coefficients plus their yearly rates of change. In most populated areas its declination is accurate to roughly half a degree to one degree. Near the magnetic poles the horizontal field is very weak and compass directions become unreliable — the model flags that regime.

For which dates is this calculator valid?

WMM2025 is officially valid from 13 November 2024 to 31 December 2029. Inside that window the secular-variation (annual change) model keeps results accurate. Outside the window the tool still computes a value by linear extrapolation, but it warns you that accuracy degrades the further you go.

What is the agonic line?

The agonic line is the line on the map where magnetic declination is exactly zero — true north and magnetic north coincide there. It currently runs roughly through parts of the Americas and western Europe/Africa, and it moves slowly westward over the years as the field drifts.

Does altitude affect magnetic declination?

Barely. The field weakens slightly with height, but at the altitudes people normally work at (even on mountains or in aircraft at 10 km) the declination changes by only a few hundredths of a degree. This calculator accepts an altitude input and evaluates the model at that height above the WGS84 ellipsoid for completeness.

True north vs magnetic north vs grid north — which is which?

True north points to the geographic North Pole (Earth's rotation axis). Magnetic north is where your compass points — currently in the Canadian Arctic and moving. Grid north is the "up" direction of a map projection grid (e.g. UTM) and differs from true north by the meridian convergence. Compass work corrects magnetic → true with declination; map work corrects grid → true with convergence.

Sources & method

Model: WMM2025 (epoch 2025.0), coefficients from the official NOAA/NCEI WMM2025.COF (U.S. Government public domain), full degree-12 spherical-harmonic synthesis with linear secular variation. Validated against the 12 official NOAA WMM2025 test vectors (all pass) and spot-checked against the NOAA online geomagnetic calculator. Reference: NOAA/NCEI World Magnetic Model.

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