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Concept
Decimal degrees
Summary
Decimal degrees (DD) is a notation for expressing latitude and longitude geographic coordinates as decimal fractions of a degree. DD are used in many geographic information systems (GIS), web mapping applications such as OpenStreetMap, and GPS devices. Decimal degrees are an alternative to using sexagesimal degrees (degrees, minutes, and seconds - DMS notation). As with latitude and longitude, the values are bounded by ±90° and ±180° respectively.
Positive latitudes are north of the equator, negative latitudes are south of the equator. Positive longitudes are east of the Prime Meridian; negative longitudes are west of the Prime Meridian. Latitude and longitude are usually expressed in that sequence, latitude before longitude. The abbreviation dLL has been used in the scientific literature with locations in texts being identified as a tuple within square brackets, for example [54.5798,-3.5820]. The appropriate decimal places are used,W. B. Whalley, 2021.'Mapping small glaciers, rock glaciers and related features in an age of retreating glaciers: using decimal latitude-longitude locations and 'geomorphic information tensors,Geografia Fisica e Dinamica Quaternaria 2021:44 55-67,DOI 10.4461/ GFDQ.2021.44.4 negative values are given as hyphen-minus, Unicode 002D.
The radius of the semi-major axis of the Earth at the equator is resulting in a circumference of . The equator is divided into 360 degrees of longitude, so each degree at the equator represents . As one moves away from the equator towards a pole, however, one degree of longitude is multiplied by the cosine of the latitude, decreasing the distance, approaching zero at the pole. The number of decimal places required for a particular precision at the equator is:
A value in decimal degrees to a precision of 4 decimal places is precise to at the equator. A value in decimal degrees to 5 decimal places is precise to at the equator. Elevation also introduces a small error: at elevation, the radius and surface distance is increased by 0.001 or 0.1%.
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