earth radius measurement history

In geodesy, a meridian arc measurement is the distance between two points with the same longitude, i.e., a segment of a meridian curve or its length. D. Rawlins: "Methods for Measuring the Earth's Size by Determining the Curvature of the Sea" and "Racking the Stade for Eratosthenes", appendices to "The Eratosthenes–Strabo Nile Map. Change ), You are commenting using your Twitter account. [38] The unit of length to which all distances measured in the U.S. coast survey were referred is the French metre, of which Ferdinand Rudolph Hassler had brought a copy in the United States in 1805. Change ), You are commenting using your Google account. A similar method was used by Posidonius about 150 years later, and slightly better results were calculated in 827 by the grade measurement[citation needed] of the Caliph Al-Ma'mun.

To get the size of the earth, he multiplied 5,000 stadia with 50. The maps of Ptolemy strongly influenced the cartographers of the Middle Ages. Also, we used a common time so that we could find the difference between our local noons.

2010. is the rectifying latitude. [16][17][18] Al-Biruni's method's motivation was to avoid "walking across hot, dusty deserts" and the idea came to him when he was on top of a tall mountain in India (present day Pind Dadan Khan, Pakistan). [13] In his commentary on Cicero's Dream of Scipio, Macrobius described the Earth as a globe of insignificant size in comparison to the remainder of the cosmos. One of its most important goals was the derivation of an international ellipsoid and a gravity formula which should be optimal not only for Europe but also for the whole world. There is one trick. by using simple geometric methods. The measured value is described in different sources as 66 2/3 miles, 56.5 miles, and 56 miles. This new survey of the Paris meridian arc, named West Europe-Africa Meridian-arc by Alexander Ross Clarke, was undertaken in France and in Algeria under the direction of François Perrier from 1870 to his death in 1888. He dug a narrow well at Syene (now Aswan). [8] Some scholars see these results as luckily semi-accurate due to cancellation of errors. Redoing classic experiments with a modern twist. Is It the Earliest Surviving Instance of Spherical Cartography?

How are the radius and circumference of the Earth measured? It is probable that Christopher Columbus, using such maps, was led to believe that Asia was only 3,000 or 4,000 miles (4,800 or 6,400 km) west of Europe.
The difference in angles at the two locations along with the distance between the two locations gives enough to find the radius. Check out Chad's more detailed post at Uncertain Principles. The invention of a geographic coordinate system is generally credited to Eratosthenes of Cyrene, who composed his now-lost Geography at the Library of Alexandria in the 3rd century BC. For WGS84 an approximate expression for the distance Δm between the two parallels at ±0.5° from the circle at latitude φ is given by, In some problems, we need to be able to solve the inverse problem: given m, determine φ. One expedition (1736–37) under Pierre Louis Maupertuis was sent to Torne Valley (near the Earth's northern pole). Defining this distance as exactly 10000000 m led to the construction of a new standard metre bar as 0.5130762 toises.[5]:22. Jean-Antonin-Léon Bassot completed the task in 1896. There are already some classic experiments that are redone with modern technology. The determination of the meridian distance, that is the distance from the equator to a point at a latitude φ on the ellipsoid is an important problem in the theory of map projections, particularly the transverse Mercator projection.

The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenesin about 240 BC. Multilateral PartnershipAsociationComenius.
To resolve the issue, the French Academy of Sciences (1735) proposed expeditions to Peru (Bouguer, Louis Godin, de La Condamine, Antonio de Ulloa, Jorge Juan) and Lapland (Maupertuis, Clairaut, Camus, Le Monnier, Abbe Outhier, Anders Celsius). He measured the Earth’s radius by looking at two shadows in two separate positions on the Planet.

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