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Arc measurement information


Arc measurement of Eratosthenes

Arc measurement,[1] sometimes degree measurement[2] (German: Gradmessung),[3] is the astrogeodetic technique of determining the radius of Earth – more specifically, the local Earth radius of curvature of the figure of the Earth – by relating the latitude difference (sometimes also the longitude difference) and the geographic distance (arc length) surveyed between two locations on Earth's surface. The most common variant involves only astronomical latitudes and the meridian arc length and is called meridian arc measurement; other variants may involve only astronomical longitude (parallel arc measurement) or both geographic coordinates (oblique arc measurement).[1] Arc measurement campaigns in Europe were the precursors to the International Association of Geodesy (IAG).[4]

  1. ^ a b Torge, W.; Müller, J. (2012). Geodesy. De Gruyter Textbook. De Gruyter. p. 5. ISBN 978-3-11-025000-8. Retrieved 2021-05-02.
  2. ^ Jordan, W., & Eggert, O. (1962). Jordan's Handbook of Geodesy, Vol. 1. Zenodo. http://doi.org/10.5281/zenodo.35314
  3. ^ Torge, W. (2008). Geodäsie. De Gruyter Lehrbuch (in German). De Gruyter. p. 5. ISBN 978-3-11-019817-1. Retrieved 2021-05-02.
  4. ^ Torge, Wolfgang (2015). "From a Regional Project to an International Organization: The "Baeyer-Helmert-Era" of the International Association of Geodesy 1862–1916". IAG 150 Years. International Association of Geodesy Symposia. Vol. 143. Springer, Cham. pp. 3–18. doi:10.1007/1345_2015_42. ISBN 978-3-319-24603-1.

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Arc measurement

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Arc measurement, sometimes degree measurement (German: Gradmessung), is the astrogeodetic technique of determining the radius of Earth – more specifically...

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Paris meridian

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meridian arc was important for geodesy as it was one of the meridian arcs which were measured to determine the figure of the Earth via the arc measurement method...

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Eratosthenes

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between 155 and 160 metres (509 and 525 ft)). Eratosthenes described his arc measurement technique, in a book entitled On the measure of the Earth, which has...

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Metre

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Wilhelm Bessel using the method of least squares calculated from several arc measurements a new value for the flattening of the Earth, which he determinated...

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Posidonius

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of Sicily. Posidonius calculated the Earth's circumference by the arc measurement method, by reference to the position of the star Canopus. As explained...

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Jean Picard

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measure the size of the Earth to a reasonable degree of accuracy in an arc measurement survey conducted in 1669–70, for which he is honored with a pyramid...

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Meridian arc

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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...

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Roger Joseph Boscovich

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Portuguese expedition for the survey of Brazil and the arc measurement of a degree of latitude (meridian arc), but was persuaded by the Pope to stay in Italy...

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Jean Fernel

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Fernel's Cosmotheoria (1528) records a determination (arc measurement) of a degree of arc of the meridian, which he made by counting the revolutions...

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Earth ellipsoid

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and 67% of the equatorial. Arc measurement is the historical method of determining the ellipsoid. Two meridian arc measurements will allow the derivation...

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Metric system

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the length of the meridian arc on the Earth's surface from the equator to the north pole. In 1799, after the arc measurement had been surveyed, the new...

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Arabic mile

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a group of Muslim astronomers and Muslim geographers to perform an arc measurement from Tadmur (Palmyra) to Raqqa, in modern Syria. They found the cities...

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Carl Friedrich Gauss

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extensive geodetic survey of the Kingdom of Hanover together with an arc measurement project from 1820 to 1844, did much of the fieldwork, and provided...

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Minute and second of arc

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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...

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Vertical deflection

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Greenwich. The meridian arc measurement made by Nicolas-Louis de Lacaille north of Cape Town in 1752 (de Lacaille's arc measurement) was affected by vertical...

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History of the metre

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meridian arcs: the longer the meridian arcs, the more precise the image of the Earth ellipsoid would be. After Struve Geodetic Arc measurement, it was...

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Thomas Maclear

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recalculating the figure of the Earth (its dimensions and shape) via an arc measurement. He caused a beacon to be erected on top of Table Mountain which was...

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Metrication

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temperature errors. In 1867, the second general Conference of the European Arc Measurement recommended the adoption of the metre in replacement of the toise....

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International Association of Geodesy

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the IAG were arc measurement campaigns. The IAG was founded in 1862 as the Mitteleuropäische Gradmessung (Central European Arc Measurement), later became...

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French Geodesic Mission to the Equator

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to what is now Ecuador carried out for the purpose of performing an arc measurement, measuring the length of a degree of latitude near the Equator, by...

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Gradian

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Ancient Greek γωνία (gōnía) 'angle'), grad, or grade – is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words...

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Richard Norwood

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places, and so calculated the length of a degree of the meridian (arc measurement). His result was some 600 yards too great; but it was the nearest approximation...

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Radius of curvature

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curvature of the Earth (approximated by an oblate ellipsoid); see also: arc measurement Radius of curvature is also used in a three part equation for bending...

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Arc

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angular measurement equal to 1/60 of one degree. Wild arc, a concept from geometric topology Arc, in geology a mountain chain configured as an arc due to...

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Geodetic astronomy

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represents the horizontal spatial gradient of the geoid undulation. Arc measurement Astronomy, stellar triangulation, spherical trigonometry Satellite...

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Friedrich Hopfner

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to geodesy and geophysics, in particular his work on the meridian arc measurement Großenhain-Kremsmünster-Pola, which detailed the use of comparisons...

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