Distance along a portion of a meridian, for use in geodesy
In geodesy and navigation, a meridian arc is the curve between two points on the Earth's surface having the same longitude. The term may refer either to a segment of the meridian, or to its length.
The purpose of measuring meridian arcs is to determine a figure of the Earth.
One or more measurements of meridian arcs can be used to infer the shape of the reference ellipsoid that best approximates the geoid in the region of the measurements. Measurements of meridian arcs at several latitudes along many meridians around the world can be combined in order to approximate a geocentric ellipsoid intended to fit the entire world.
The earliest determinations of the size of a spherical Earth required a single arc. Accurate survey work beginning in the 19th century required several arc measurements in the region the survey was to be conducted, leading to a proliferation of reference ellipsoids around the world. The latest determinations use astro-geodetic measurements and the methods of satellite geodesy to determine reference ellipsoids, especially the geocentric ellipsoids now used for global coordinate systems such as WGS 84 (see numerical expressions).
meridianarc is the curve between two points on the Earth's surface having the same longitude. The term may refer either to a segment of the meridian...
long-standing rival to the Greenwich meridian as the prime meridian of the world. The "Paris meridianarc" or "French meridianarc" (French: la Méridienne de France)...
length of the meridianarcs: the longer the meridianarcs, the more precise the image of the Earth ellipsoid would be. After Struve Geodetic Arc measurement...
distance (arc length) surveyed between two locations on Earth's surface. The most common variant involves only astronomical latitudes and the meridianarc length...
binomial series and integrating term by term: see Meridianarc for details. The length of the meridianarc between two given latitudes is given by replacing...
length of the meridianarcs: the longer the meridianarcs, the more precise the image of the Earth ellipsoid would be. After Struve Geodetic Arc measurement...
definition of territorial waters. Historically, it was defined as the meridianarc length corresponding to one minute (1/60 of a degree) of latitude at...
Pole Meridianarc, the distance between two points with the same longitude Prime meridian, origin of longitudes Principal meridian, arbitrary meridians used...
interpolation Lemon (geometry) Meridianarc Circumference Circular motion Tangential speed Wikimedia Commons has media related to Circle arcs. Table of contents for...
Dunkirk and Barcelona. This new survey of the Paris meridianarc, named West Europe-Africa Meridian-arc by Alexander Ross Clarke, was undertaken in France...
kilometres (1,750 mi), which yielded the first accurate measurement of a meridianarc. The chain was established and used by the German-born Russian scientist...
exist for determination of the axes of an Earth ellipsoid, ranging from meridianarcs up to modern satellite geodesy or the analysis and interconnection of...
curve. Arc (geometry) Circumference Crofton formula Elliptic integral Geodesics Intrinsic equation Integral approximations Line integral Meridianarc Multivariable...
strictly however, a meridianarc length per 1 second depends on the latitude at the point in question. The discrepancy of 1 second meridianarc length between...
the survey in 1823. Everest was largely responsible for surveying the meridianarc from the southernmost point of India north to Nepal, a distance of about...
scale, about 180 km on each side of, and about parallel to, the central meridian (Arc cos 0.9996 = 1.62° at the Equator). The scale is less than 1 inside...
simple application is summing the trigonometric series to compute the meridianarc distance on the surface of an ellipsoid. These have the form m ( θ )...
A minute of arc, arcminute (arcmin), arc minute, or minute arc, denoted by the symbol ′, is a unit of angular measurement equal to 1/60 of one degree....
ellipsoid, beginning with Jean Picard's measurement of a degree of arc along the Paris meridian. Improved maps and better measurement of distances and areas...
distance History of longitude The Island of the Day Before Latitude Meridianarc Natural Area Code Navigation Orders of magnitude Planetary coordinate...
why modern prime meridian passes more than 100 m to the east of the historical astronomic prime meridian in Greenwich. The meridianarc measurement made...
on an expedition to Lapland in an attempt to accurately measure the meridianarc. From such measurements they could calculate the eccentricity of the...
distance from the Earth's equator to the North Pole measured on the meridianarc through Paris. L kilogram kg mass "The kilogram, symbol kg, is the SI...
was used to measure the meridianarc from Dunkirk to Barcelona by Jean Baptiste Delambre and Pierre Méchain (see: meridianarc of Delambre and Méchain)...
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