Magnetic Declination Explained
Magnetic declination explained — the angle between compass north and true north, ranging −17° to +20° in CONUS, with the WMM 2025 model and the drifting magnetic pole.
By Steve K.. Published . Last updated .
Magnetic declination is the angle between magnetic north (where a compass needle points) and true north (the geographic North Pole). It varies by location — about −13° in New York and near 0° in London in 2026 — and changes as the north magnetic pole drifts ~55-60 km per year.
Magnetic declination is the correction that makes a compass-derived bearing into a true-north bearing. It is also one of the few quantities in navigation that changes continuously with both position and time, requiring a model rather than a fixed table to compute. For the historical compass-vs-GPS transition see /learn/celestial-navigation and /learn/how-gps-works; for the wider true-north reference see /learn/the-prime-meridian. This pillar runs the physics behind the variation, the World Magnetic Model that publishes it globally, the values for major cities, the drift of the magnetic poles, and the operational implications for hiking, aviation runway numbering, and survey work. Supports cover /learn/magnetic-vs-true-north, /learn/the-world-magnetic-model and /learn/why-magnetic-north-moves.
The geometry
A magnetic compass needle aligns with the local horizontal component of Earth's magnetic field. That direction is not the same as true north (toward the geographic North Pole) because:
| Source of difference | Magnitude | Direction |
|---|---|---|
| Magnetic field is tilted | Up to ~20° in CONUS | East or west depending on location |
| Magnetic poles are offset from geographic poles | Magnetic N at ~86.5°N latitude (2020) | Far from 90°N true |
| Field is not perfectly axial-dipolar | Local anomalies add ~1-3° | Varies by region (e.g. Bermuda Triangle, S. Atlantic Anomaly) |
| Field drifts over time (secular variation) | ~5-15 arcminutes/year | Same direction in a given region for decades, then reverses |
The total angle between magnetic north and true north at a point is declination. Positive declination means the compass needle points east of true; negative means west. The convention varies between older British/USGS texts (east positive) and some maritime sources (west positive). The WMM and modern aviation use east-positive.
Declination across the continental US (2026)
The Continental US spans roughly 17° of declination from west to east, illustrating the typical mid-continent variation pattern.
| City | Latitude | Longitude | Magnetic declination (2026) | Direction |
|---|---|---|---|---|
| Seattle, WA | 47.6° N | −122.3° W | ~15.5° E | Magnetic N is east of true |
| San Francisco, CA | 37.8° N | −122.4° W | ~13.0° E | Magnetic N is east of true |
| Los Angeles, CA | 34.1° N | −118.2° W | ~11.5° E | East |
| Denver, CO | 39.7° N | −105.0° W | ~7.0° E | East |
| Dallas, TX | 32.8° N | −96.8° W | ~2.5° E | East (near agonic line) |
| Chicago, IL | 41.9° N | −87.6° W | ~−2.0° W | West (just east of agonic line) |
| New York, NY | 40.7° N | −74.0° W | ~−13.0° W | Magnetic N is 13° west of true |
| Miami, FL | 25.8° N | −80.2° W | ~−7.5° W | West |
| Boston, MA | 42.4° N | −71.1° W | ~−15.0° W | West |
| Bangor, ME | 44.8° N | −68.8° W | ~−17.5° W | West (largest CONUS magnitude) |
The line where declination equals exactly 0 — the agonic line — runs roughly through the Great Plains in 2026 (Wisconsin → eastern Iowa → eastern Kansas → eastern Texas). West of it, declination is east-positive; east of it, west-negative. In 2000 the agonic line passed through Lake Michigan; the line has moved several hundred kilometres westward since.
Global highlights
Outside North America, declination varies even more widely.
| Region | Approximate declination (2026) | Notable feature |
|---|---|---|
| London, UK | ~0° to +1° E | Near the global agonic line (Europe) |
| Paris, France | ~+1° to +2° E | East of UK |
| Berlin, Germany | ~+5° E | |
| Moscow, Russia | ~+11° E | |
| Beijing, China | ~−6° W | West |
| Tokyo, Japan | ~−7° W | West |
| Mumbai, India | ~0° to +1° E | Near Indian-Ocean agonic line |
| Sydney, Australia | ~+12° E | East |
| Cape Town, South Africa | ~−25° W | Very large west declination |
| São Paulo, Brazil | ~−22° W | Within South Atlantic Anomaly region |
| Mexico City, Mexico | ~+5° E | East |
| Reykjavik, Iceland | ~−10° W | Edge of North-Atlantic anomaly |
| Antarctica (South Pole) | Variable, ±180° possible | Near south magnetic pole, declination becomes ill-defined |
The South Atlantic Anomaly — a region of weak magnetic field extending from southern Africa through South America — produces unusually large westward declinations there (often −25° or more). This is also where satellite electronics are most vulnerable to high-energy particles entering the field, because the field is weaker and the trapped-radiation belts are closer to Earth's surface.
The drift of the magnetic poles
Earth's magnetic field has been drifting and changing since records began — and the drift has accelerated dramatically in recent decades.
| Year | North magnetic pole location | Latitude | Longitude | Drift rate at that epoch |
|---|---|---|---|---|
| 1831 (Ross) | Boothia Peninsula, northern Canada | ~70° N | ~96° W | <1 km/year |
| 1900 | Northern Canadian Arctic | ~70.5° N | ~96° W | ~10 km/year |
| 1950 | Slightly NW of 1900 position | ~73° N | ~100° W | ~10 km/year |
| 1990 | Continued NW drift | ~78° N | ~104° W | ~15 km/year |
| 2000 | Approaching the Arctic Ocean | ~81° N | ~110° W | ~40 km/year |
| 2010 | Over the central Arctic | ~85° N | ~133° W | ~55 km/year |
| 2020 | Crossing toward Siberia | ~86.5° N | ~162° E | ~55-60 km/year |
| 2025 (projected) | Closer to Siberia | ~86° N | ~170° E | ~50-55 km/year |
The recent acceleration is large enough that the WMM, which had been updated every 5 years, needed an out-of-cycle update in 2019 (the WMM 2019 release) because the 2015 model was no longer accurate enough for high-Arctic navigation. The next regular update is WMM 2025 (epoch 2025.0).
The south magnetic pole drifts much more slowly — about 10-15 km/year — and has been near 64° S, 138° E (off the coast of Antarctica) for decades.
Why declination matters operationally
| Application | How declination is used | Magnitude of effect |
|---|---|---|
| Hiking / map reading | Convert compass bearing → true bearing for plotting on a topographic map | Up to 17° in CONUS; matters for cross-country navigation |
| Aviation runway numbering | Runway number = magnetic bearing / 10, rounded; updated when declination shifts cross threshold | Affects which numbers appear on the runway markings |
| Marine compass navigation | Convert compass course → true course for plotting on charts | ~7-15° offshore, varies by ocean |
| Survey work | Convert magnetic bearings (legacy data) to true bearings for cadastral records | ~5-20° depending on era and location |
| UAV / drone bearing | Used in lieu of GPS heading when stationary | Critical near magnetic poles where horizontal field is small |
| Antenna pointing (radio amateurs) | Magnetic compass + declination correction for true bearing to target | Important for directional yagis |
| Geological / archaeological dating | Past field directions in rocks record magnetic-pole history (paleomagnetism) | Used to date strata and reconstruct continental drift |
Aviation has the most visible consequence: runway numbers are magnetic bearings, and when declination changes enough to shift the magnetic bearing across the rounding threshold (e.g., from 9.4° to 10.6° → runway changes from 09 to 11), the runway has to be physically renumbered. Major airports renumber once every 30-60 years on average.
The World Magnetic Model
The World Magnetic Model (WMM) is the canonical global declination model, published jointly by NOAA NCEI and the British Geological Survey.
| Property | Value | Source |
|---|---|---|
| Update cadence | Every 5 years (out-of-cycle when needed) | Per WMM specification |
| Current epoch | 2025.0 to 2029.99 | WMM 2025 release |
| Spatial resolution | Spherical harmonics to degree/order 12 | WMM spec |
| Stated accuracy (declination) | < 1° (95% over open ocean, mid-latitude) | WMM spec |
| Stated accuracy (inclination) | < 1.5° (95%) | WMM spec |
| Stated accuracy (intensity) | < 200 nT (95%) | WMM spec |
| Coverage | Global | WMM spec |
| Distribution | Coefficient file (~5 KB); free, no license restrictions | NCEI |
| Implementations | NCEI reference code; numerous wrappers (geomagnetism npm, libwmm) | Open |
The model is spherical-harmonic: 195 coefficients (Gauss coefficients) and their first time derivatives, computed against several years of satellite and ground-station data, predict declination/inclination/intensity at any point on Earth for any time in the 5-year window. The coefficient file is under 10 KB and runs in any language with basic math libraries.
The IGRF (International Geomagnetic Reference Field) is the scientific equivalent — updated every 5 years by an international working group (IAGA V-MOD) and used as the consensus reference for paleomagnetic, satellite-mission and academic work. WMM and IGRF agree to within a few arcminutes at any point.
Sign convention: east positive
There are two conventions in operational use; the modern aviation and WMM choice is east-positive.
| Convention | East declination sign | West declination sign | Used by |
|---|---|---|---|
| East-positive (modern) | positive (+) | negative (−) | WMM, FAA, ICAO, NOAA, most modern aviation/marine |
| West-positive (older) | negative (−) | positive (+) | Some older British/colonial charts; some pre-WW2 USGS |
| Compass + map → bearing | "add East, subtract West" (TVMDC) | Same | Practical navigation mnemonic |
The navigation mnemonic "TVMDC" (True → Variation → Magnetic → Deviation → Compass, "Add East" applied westbound) handles the operational conversion. For software, the cleanest rule: store declination signed with east-positive WMM convention; convert at the display layer.
Common misconceptions
Related
- Dead Reckoning— Compass-based navigation requires declination correction
- Celestial Navigation— True bearings derived astronomically vs. magnetic compass
- The Sextant Explained— The other primary navigation instrument
- How GPS Works— Modern position fixing — independent of magnetic field
- Methodology— How content is sourced and verified
Frequently asked questions
What is magnetic declination?
Magnetic declination is the angle between magnetic north — the direction a freely suspended compass needle points — and true north — the direction along a meridian to the geographic North Pole. Declination is positive when magnetic north is east of true north, negative when west. Declination varies geographically (in the continental US, it ranges from about +17° in eastern Maine to about -23° in Washington state) and over time (the magnetic poles drift). The line of zero declination (where compass and true north agree) is called the agonic line; in 2026 it runs roughly from western Lake Superior through eastern Texas to the Gulf of Mexico.
What is the World Magnetic Model?
The World Magnetic Model (WMM) is a mathematical representation of Earth's main magnetic field, produced jointly by the U.S. National Centers for Environmental Information (NCEI / NOAA) and the British Geological Survey (BGS). The current version, WMM2025, was released in late 2024 and is valid 2025–2030. The model uses spherical-harmonic expansion to degree 12 (with the latest revisions adding higher-degree terms) and is updated every 5 years on a regular cycle (with an emergency mid-cycle update in 2019 due to faster-than-expected magnetic-pole drift). The WMM is the standard reference for U.S. military, U.S. Department of Defense, FAA, NATO, and most consumer electronics (smartphones use the WMM to compute compass headings).
How does the magnetic pole move?
The geomagnetic poles are not at fixed locations. The Magnetic North Pole has been drifting since precise measurements began (Ross located it in 1831 at 70°N 96°W; by 1900 it was at 70.5°N 96°W; by 1950 73°N 100°W; by 2000 81°N 109°W; by 2025 86°N 142°E — in the Arctic Ocean north of Russia). The drift accelerated through the 2000s, reaching about 55 km per year around 2015–2020 before slowing somewhat. The Magnetic South Pole drifts at a different rate and direction. The cause is changes in the flow of molten iron in Earth's outer core, which generates the field by dynamo action. The pole movement is why declination models need periodic updates: the model accurate in 2020 produces increasingly wrong predictions by 2025 or 2030.
Why are aviation runway numbers based on magnetic bearings?
Aviation runway numbers historically use magnetic bearings rounded to the nearest 10 degrees because magnetic compasses were the primary heading reference for pilots before electronic navigation matured. A runway numbered '16' has a magnetic heading of approximately 160°; the opposite-direction runway is '34' (340° = 160° + 180°, rounded). When declination shifts significantly at a location (because of pole drift), runways may be renumbered to keep the magnetic-heading correspondence accurate. Notable renaming examples include Tampa International Airport (2011 runway renumbering due to ~6° declination shift) and Fairbanks Alaska (renamed in 2008). Modern aviation increasingly uses true-north references (FMS, GPS) but the magnetic-runway convention persists for compatibility.
How do I convert between magnetic and true bearings?
The conversion is: true bearing = magnetic bearing + declination, where declination is positive (east) or negative (west). The mnemonic 'east is least, west is best' captures the sign convention: with east (positive) declination, the magnetic bearing is less than (least) the true bearing; with west (negative) declination, the magnetic bearing is more than (best, meaning highest) the true bearing. Example: a magnetic bearing of 087° at a location with -15° (15° W) declination corresponds to a true bearing of 087° + (-15°) = 072°. For navigation, always check the chart's declination notation; topographic maps print declination diagrams in the margin, and the value is dated (declination drifts with time, so a 20-year-old map's declination value may be off by several degrees).
What is the magnetic declination in New York?
New York City's magnetic declination is approximately −13° (13° west) in 2026, per the World Magnetic Model 2025. A compass pointing at magnetic north there is actually pointing 13° west of true north. The declination has been growing in magnitude — it was about −12° in 2010 and is projected to continue increasing through the late 2020s as the north magnetic pole drifts toward Siberia.
What is the World Magnetic Model?
The World Magnetic Model (WMM) is the canonical global declination model, published jointly by NOAA NCEI and the British Geological Survey. It is updated every 5 years; the current epoch is WMM 2025 (valid 2025.0 to 2029.99). The model is spherical-harmonic to degree/order 12 (~195 Gauss coefficients), stated accuracy <1° for declination over open ocean. The full coefficient file is under 10 KB and is freely distributed.
Why do compasses need declination correction?
Because a compass needle aligns with magnetic north, not true north. The angle between them — magnetic declination — can be up to 25° or more depending on location, and it changes over time as the magnetic pole drifts. A hiker who walks for 8 km using an uncorrected compass in New York (declination ~−13°) will be 1.8 km off course. Topographic maps print the declination value in their margins, dated to the year the map was printed; updates are needed for current accuracy.
Sources
- NOAA NCEI — World Magnetic Model (WMM2025) — produced by NCEI and BGS, valid 2025–2030 · https://www.ncei.noaa.gov/products/world-magnetic-model · Accessed .
- British Geological Survey — BGS — geomagnetism and the World Magnetic Model · https://geomag.bgs.ac.uk/ · Accessed .
- IAGA — International Geomagnetic Reference Field (IGRF-14) — IAGA-coordinated international standard · https://www.ngdc.noaa.gov/IAGA/vmod/igrf.html · Accessed .
- USGS — USGS Geomagnetism Program — observatories, models, and forecasts · https://www.usgs.gov/programs/geomagnetism · Accessed .
Cite this article
APA format:
Steve K. (2026). Magnetic Declination Explained. Coordinately. https://coordinately.org/learn/magnetic-declination-explained
BibTeX:
@misc{coordinately_magneticdeclinationexplained_2026,
author = {K., Steve},
title = {Magnetic Declination Explained},
year = {2026},
publisher = {Coordinately},
url = {https://coordinately.org/learn/magnetic-declination-explained},
note = {Accessed: 2026-06-05}
}