AllUnitsConverters

Geographical Coordinate Converter

Convert coordinates between Decimal Degrees (DD), Degrees Minutes Seconds (DMS), and Degrees Decimal Minutes (DDM).

Result

Latitude: -

Longitude: -

Decimal Degrees to Degrees, Minutes, Seconds

Unit Information

What is Decimal Degrees (DD)?

Decimal Degrees (DD) represent latitude and longitude as decimal fractions. Positive values for latitude are North, negative are South. Positive values for longitude are East, negative are West. Example: New York City might be Latitude 40.7128, Longitude -74.0060. This format is widely used in digital mapping systems and databases due to its ease of computation.

What is Degrees, Minutes, Seconds (DMS)?

Degrees, Minutes, Seconds (DMS) is a traditional format where each degree is divided into 60 minutes ('), and each minute into 60 seconds ("). Latitude is typically followed by N (North) or S (South), and longitude by E (East) or W (West). Example: 40° 26' 46" N, 74° 0' 21" W. This format is common on nautical charts and older surveying documents.

What is Degrees, Decimal Minutes (DDM)?

Degrees, Decimal Minutes (DDM) is a hybrid format where the degree is a whole number and the minutes are expressed as a decimal fraction. For example, 40° 26.768' N. This format is commonly used by GPS devices and in maritime and aviation navigation as it combines the traditional degree/minute notation with the computational ease of decimals.

Formulas

1 degree = 60 minutes (')

One degree is equivalent to 60 arcminutes.

1 minute = 60 seconds (")

One minute is equivalent to 60 arcseconds.

DD = Degrees + (Minutes / 60) + (Seconds / 3600)

Formula to convert from Degrees, Minutes, Seconds to Decimal Degrees. The sign is made negative for South and West hemispheres.

DD = Degrees + (DecimalMinutes / 60)

Formula to convert from Degrees, Decimal Minutes to Decimal Degrees. The sign is made negative for South and West hemispheres.

Key Reference Points

Example Coordinates (Approximate)
  • Equator: Latitude 0° DD / 0° 0' 0" N/S.
  • North Pole: Latitude 90° DD / 90° 0' 0" N.
  • Prime Meridian (Greenwich): Longitude 0° DD / 0° 0' 0" E/W.
  • New York City: Lat ~40.7128°, Lon ~-74.0060°.
  • Sydney, Australia: Lat ~-33.8688°, Lon ~151.2093°.
Coordinate System Properties
  • Latitude lines (parallels) run East-West but measure North-South position.
  • Longitude lines (meridians) run North-South but measure East-West position.
  • Maximum latitude is 90° (North or South Pole).
  • Maximum longitude is 180° (East or West).
  • All lines of longitude converge at the North and South Poles.

Did You Know?

Prime Meridian and Equator

Longitude is measured East or West from the Prime Meridian (0° longitude), which passes through Greenwich, London. Latitude is measured North or South from the Equator (0° latitude). The maximum latitude is 90° N (North Pole) or 90° S (South Pole), and the maximum longitude is 180° E or 180° W (which meet at the International Date Line).

GPS Technology

The Global Positioning System (GPS) relies on a network of at least 24 satellites orbiting Earth. A GPS receiver calculates its position by precisely timing signals sent from these satellites and using trilateration.

Great Circles

The shortest distance between two points on the surface of a sphere (like Earth) is along a great-circle path. Lines of longitude are great circles, and the Equator is the only line of latitude that is a great circle.

Geodetic Datums

A geodetic datum (like WGS 84) is a reference model of the Earth. Since the Earth is not a perfect sphere, different datums exist to provide better fits for different regions. Using the wrong datum can lead to location errors of hundreds of meters.

The Longitude Problem

While determining latitude at sea was relatively easy using celestial navigation, accurately determining longitude was a major scientific challenge for centuries. The problem was finally solved in the 18th century with the invention of the marine chronometer by John Harrison.

Magnetic Declination

A compass points to the Magnetic North Pole, not the Geographic North Pole. The angle of difference between these two points at any given location is called magnetic declination, and it's crucial for accurate navigation with a compass.

UTM Coordinate System

The Universal Transverse Mercator (UTM) system is another common way to represent coordinates. Instead of latitude/longitude, it uses a grid system measured in meters, which simplifies distance and area calculations over smaller regions.

Geocaching

Geocaching is a popular outdoor recreational activity where participants use a GPS receiver or mobile device to hide and seek containers, called 'geocaches' or 'caches', at specific geographic coordinates.

Antipodes

The antipode of any place on Earth is the point on the Earth's surface which is diametrically opposite to it. For example, the antipode of a point in northern Spain is in New Zealand. Calculating antipodes requires precise coordinate manipulation.

The International Date Line

The International Date Line, located around 180° longitude, is where the date changes by one day. It zig-zags to avoid dividing countries or island groups into two different days.

Geohashing

Geohashing is a recreational activity inspired by the webcomic xkcd. It uses a stock market value and the current date to generate a new set of random coordinates each day for people to meet up at.

One Minute of Latitude

One minute of latitude is approximately one nautical mile (1.852 km). This relationship is why nautical miles are so convenient for marine and air navigation.

The Shape of the Earth

The Earth is not a perfect sphere; it's an oblate spheroid, slightly flattened at the poles and bulging at the equator. This affects high-precision distance calculations and is accounted for in modern geodetic systems like WGS 84.

The Geoid

The geoid is the shape that the ocean surface would take under the influence of the Earth's gravity and rotation alone, in the absence of other influences such as winds and tides. It's a more accurate representation of Earth's mean sea level than a simple ellipsoid.

What3Words

What3Words is a proprietary geocoding system that has divided the world into 3-meter squares and assigned each one a unique three-word address. It's an alternative, more human-friendly way to communicate precise locations.

ISO 6709

ISO 6709 is the international standard for the representation of geographic point location by coordinates. It provides a standardized format for exchanging latitude, longitude, and altitude data.

The Poles Wander

The Earth's magnetic poles are not fixed. The North Magnetic Pole is currently drifting from the Canadian Arctic towards Siberia at a rate of several tens of kilometers per year, requiring updates to navigation models.

Sextant and Astrolabe

Before electronic navigation, sailors used instruments like the sextant and astrolabe to measure the angle of celestial bodies (like the Sun or North Star) above the horizon to determine their latitude.

Frequently Asked Questions