Relevant bibliographies by topics / Meridians (Geodesy)

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Academic literature on the topic 'Meridians (Geodesy)'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Meridians (Geodesy)"

1

Lapaine, М. "Geodetic foundations of cartography in Europe in 19th century." Geodesy and Cartography 977, no. 11 (2021): 51–64. http://dx.doi.org/10.22389/0016-7126-2021-977-11-51-64.

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Geodetic surveying comprises the determination of locations on and the dimensions of the earth’s surface at a various scales. In the 19th century, its technologies are those of direct measurement of the earth’s surface combined with astronomical observations. Its social context encompasses all those individuals and institutions involved in the creation, preservation, use, and arrangement of knowledge of the earth. In the introductory part of the paper the author mentions several important events in the history of the 19th century geodesy. Geodetic work on determining the size of the Earth by m
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Ryazantsev, Nikola, and Alexander Nosach. "UNIVERSAL METRIC BASE (RUMB), UNITS OF ANGLE MEASUREMENT IN GEODESY AND CARTOGRAPHY." SCIENTIFIC PAPERS OF DONNTU Series: “The Mining and Geology”, no. 3(23)-4(24) 2020 (2020): 53–63. http://dx.doi.org/10.31474/2073-9575-2020-3(23)-4(24)-53-63.

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Objective. Study of ancient cartographic documents in order to clarify the principle of working with a portolan map based on the RUMB metric base. Methodology. Analytical, graphic, mathematical, geodesic. Scientific novelty. For the first time, a table of interrelation of units of measurement of time, angles and distances in the metric base of RUMB is shown. It was found that the so-called portolan maps were built on the basis of RUMB, and their projection is similar to the oblique Mercator projection with a cylindrical axis oriented along the earth’s magnetic axis, with an additional network
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Obuchovski, Romuald, Petras Petroškevičius, and Arūnas Būga. "RESEARCH ON MAGNETIC DECLINATION IN LITHUANIAN TERRITORY." Aviation 12, no. 2 (2008): 51–56. http://dx.doi.org/10.3846/1648-7788.2008.12.51-56.

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Magnetic declination is the angle between the planes of the astronomic and magnetic meridians. Magnetic declination is used in navigation, geophysics, geodesy, cartography, geology, and other fields. Magnetic declination is often computed from the World Magnetic Model (WMM). It is therefore important to be aware of the accuracy of the computed declination and to investigate its changes. For this purpose, magnetic declination was measured and the methodology of its measurement analyzed. Research was performed at six established points in 1999, 2001 and 2004. Magnetic declination was measured at
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4

Mahdi, Hussein Alwan. "A MODIFIED METHOD FOR DETERMINATION OF SCALE FACTOR OF THE PROJECTED GEODESIC." Journal of Engineering 12, no. 03 (2006): 882–95. http://dx.doi.org/10.31026/j.eng.2006.03.31.

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Conformal projection is one of the most important aspects that geodesy dealing with. Thedetermination of the scale factors in the meridian, the parallel and projected geodesic directions are thefinal result of the conformal projection. Methods for determining the scale factors in the meridian andthe parallel directions have a quite sufficient accuracy. While methods for determining the projectedgeodesic have different accuracy and computation complicity.This research adopts a modified method for computing the exact value of scale factor ingeodesic direction. In this method the scale factor is
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5

Medvedev, P. A., and M. V. Novgorodskaya. "Mathematical models of Gauss – Kruger projection for calculation of meridians conversion on the plane and scale of the image." Geodesy and Cartography 934, no. 4 (2018): 2–7. http://dx.doi.org/10.22389/0016-7126-2018-934-4-2-7.

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This work contains continued research carried out on improving mathematical models of the Gauss-Krueger projection in accordance with the parameters of any ellipsoid with the removal of points from the axial meridian to l ≤ 6° . In terms of formulae earlier derived by the authors with improved convergence for the calculation of planar rectangular coordinates by geodesic coordinates, the algorithms for determining the convergence of meridians on the plane and the scale of the image are obtained. The improvement of the formulae represented in the form of series in powers of the difference in lon
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6

Williams, Roy. "The Great Ellipse on the Surface of the Spheroid." Journal of Navigation 49, no. 2 (1996): 229–34. http://dx.doi.org/10.1017/s0373463300013333.

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On any surface which fulfils the required continuity conditions, the shortest path between two points on the surface is along the are of a geodesic curve. On the surface of a sphere the geodesic curves are the great circles and the shortest path between any two points on this surface is along the arc of a great circle, but on the surface of an ellipsoid of revolution, the geodesic curves are not so easily defined except that the equator of this ellipsoid is a circle and its meridians are ellipses.
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7

Sjöberg, L. E. "Solutions to the ellipsoidal Clairaut constant and the inverse geodetic problem by numerical integration." Journal of Geodetic Science 2, no. 3 (2012): 162–71. http://dx.doi.org/10.2478/v10156-011-0037-4.

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AbstractWe derive computational formulas for determining the Clairaut constant, i.e. the cosine of the maximum latitude of the geodesic arc, from two given points on the oblate ellipsoid of revolution. In all cases the Clairaut constant is unique. The inverse geodetic problem on the ellipsoid is to determine the geodesic arc between and the azimuths of the arc at the given points. We present the solution for the fixed Clairaut constant. If the given points are not(nearly) antipodal, each azimuth and location of the geodesic is unique, while for the fixed points in the ”antipodal region”, rough
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8

Zhou, Ji, Jianqiao Chen, Yaochen Zheng, Zhu Wang, and Qunli An. "Dome shape optimization of filament-wound composite pressure vessels based on hyperelliptic functions considering both geodesic and non-geodesic winding patterns." Journal of Composite Materials 51, no. 14 (2016): 1961–69. http://dx.doi.org/10.1177/0021998316662512.

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Filament-wound composite pressure vessels, owing to the advantages of their high specific strength, specific modulus and fatigue resistance, as well as excellent design performance, have been widely used in energy engineering, chemical industry and other fields. A filament-wound composite pressure vessel generally consists of two parts, a cylindrical drum part and the dome parts. In the cylindrical drum part, the filament winding angle and the winding layer thickness can be easily determined due to the regular shape. In the dome parts, however, both the winding angle and the thickness vary alo
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9

Frohman, Charles. "Spider evaluation and representations of web groups." Journal of Knot Theory and Its Ramifications 28, no. 04 (2019): 1950021. http://dx.doi.org/10.1142/s0218216519500214.

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The topology of [Formula: see text]-representation varieties of the fundamental groups of planar webs so that the meridians are sent to matrices with trace equal to [Formula: see text] are explored, and compared to data coming from spider evaluation of the webs. Corresponding to an evaluation of a web as a spider is a rooted tree. We associate to each geodesic [Formula: see text] from the root of the tree to the tip of a leaf an irreducible component [Formula: see text] of the representation variety of the web, and a graded subalgebra [Formula: see text] of [Formula: see text]. The spider eval
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10

Medvedev, P. A., and M. V. Novgorodskaya. "Mathematical models’ analysis of rectangular coordinates’calculation in the expanded zones of Gauss Kruger conformal projection." Geodesy and Cartography 921, no. 3 (2017): 14–19. http://dx.doi.org/10.22389/0016-7126-2017-921-3-14-19.

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This article contains analysis of mathematical models built depending on longitude difference degree, that are used for calculating planimetric rectangular coordinates in accordance with geodesic coordinates in the longitudinally expanded zones of Gauss Kruger conformal projection. Coefficients of these expansions are measured by successive differentiation or by recurrence formula. Disadvantages of performed coordinate mathematical transformations using schemes recommended by Federal Agency on Technical Regulating and Metrology and Euro-Asian Council for Standardization, Metrology and Certific
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Books on the topic "Meridians (Geodesy)"

1

Martin, Jean-Pierre. Une histoire de la méridienne: Textes, enjeux, débats et passions autour du méridien de Paris, 1666-1827. Isoète, 2000.

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2

Ariel, Avraham. Plotting the globe: Stories of meridians, parallels, and the international date line. Praeger Publishers, 2006.

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3

William, Kittredge, ed. America's 100th meridian: A plains journey. Texas Tech University Press, 2005.

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4

Zero Degrees: Geographies of the Prime Meridian. Harvard University Press, 2017.

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5

Murdin, Paul. Full Meridian of Glory. Springer, 2009.

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6

Murdin, Paul. Full Meridian of Glory: Perilous Adventures in the Competition to Measure the Earth. Copernicus, 2010.

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Murdin, Paul. Full Meridian of Glory: Perilous Adventures in the Competition to Measure the Earth. Springer, 2008.

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8

La Méridienne de Paris: Une nouvelle traversée de la capitale. Paris musées, 2000.

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9

Greenwich: Parallels on the Meridian = parallèles sur le Méridien = parallellen op de Meridiaan. Éditions Racine, 2007.

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10

Ariel, Avraham, and Nora Ariel Berger. Plotting the Globe: Stories of Meridians, Parallels, and the International Date Line. ABC-CLIO, LLC, 2005.

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Book chapters on the topic "Meridians (Geodesy)"

1

"French Geodesy and the Fight over the Meridian." In Henri Poincaré. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814556620_0007.

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2

Goldman, William m. "Intersections of Bisectors." In Complex Hyperbolic Geometry. Oxford University PressOxford, 1999. http://dx.doi.org/10.1093/oso/9780198537939.003.0009.

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Abstract In real hyperbolic space, bisectors are totally geodesic and so are their intersections. In particular bisector intersections are necessarily connected. However, in complex hyperbolic geometry, this is no longer true. We have already discussed two cases of bisector intersections: cospinal pairs (where the spines lie in a common complex geodesic, see §5.3.1) and comeridianal pairs (where the spines lie in a common meridian, see §5.3.5). Cospinal families of bisectors arose from the orthogonal projections onto complex geodesics. Comeridianal pairs arose in the discussion of Cartan’s configuration of seven ℝ-circles characterizing triples of points lying on a chain.
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Conference papers on the topic "Meridians (Geodesy)"

1

Pedzich, Pawel, and Lukasz Wodzynski. "APLICATION OF ELLIPTIC INTEGRALS IN MATHEMATICAL CARTOGRAPHY CALCULATIONS." In 23rd SGEM International Multidisciplinary Scientific GeoConference 2023. STEF92 Technology, 2023. http://dx.doi.org/10.5593/sgem2023/2.1/s11.40.

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The paper describes examples of applying elliptic integrals in mathematical cartography calculations, i.e. related with cartographic projections and reference surfaces. Selected equations and algorithms used in calculating the meridian arc length on an oblate spheroid, meridian arc length on a tri-axial ellipsoid, the equation and length of the geodesic, and coordinate transformation on an oblate spheroid, have been applied. Examples of elliptic integral application for the construction of cartographic projections of a sphere, oblate spheroid and tri-axial ellipsoid are also presented. Importa
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