A Guide to Coordinate Systems in Great Britain
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Meyers Height 1
University of Connecticut DigitalCommons@UConn Peer-reviewed Articles 12-1-2004 What Does Height Really Mean? Part I: Introduction Thomas H. Meyer University of Connecticut, [email protected] Daniel R. Roman National Geodetic Survey David B. Zilkoski National Geodetic Survey Follow this and additional works at: http://digitalcommons.uconn.edu/thmeyer_articles Recommended Citation Meyer, Thomas H.; Roman, Daniel R.; and Zilkoski, David B., "What Does Height Really Mean? Part I: Introduction" (2004). Peer- reviewed Articles. Paper 2. http://digitalcommons.uconn.edu/thmeyer_articles/2 This Article is brought to you for free and open access by DigitalCommons@UConn. It has been accepted for inclusion in Peer-reviewed Articles by an authorized administrator of DigitalCommons@UConn. For more information, please contact [email protected]. Land Information Science What does height really mean? Part I: Introduction Thomas H. Meyer, Daniel R. Roman, David B. Zilkoski ABSTRACT: This is the first paper in a four-part series considering the fundamental question, “what does the word height really mean?” National Geodetic Survey (NGS) is embarking on a height mod- ernization program in which, in the future, it will not be necessary for NGS to create new or maintain old orthometric height benchmarks. In their stead, NGS will publish measured ellipsoid heights and computed Helmert orthometric heights for survey markers. Consequently, practicing surveyors will soon be confronted with coping with these changes and the differences between these types of height. Indeed, although “height’” is a commonly used word, an exact definition of it can be difficult to find. These articles will explore the various meanings of height as used in surveying and geodesy and pres- ent a precise definition that is based on the physics of gravitational potential, along with current best practices for using survey-grade GPS equipment for height measurement. -
Geomatics Guidance Note 3
Geomatics Guidance Note 3 Contract area description Revision history Version Date Amendments 5.1 December 2014 Revised to improve clarity. Heading changed to ‘Geomatics’. 4 April 2006 References to EPSG updated. 3 April 2002 Revised to conform to ISO19111 terminology. 2 November 1997 1 November 1995 First issued. 1. Introduction Contract Areas and Licence Block Boundaries have often been inadequately described by both licensing authorities and licence operators. Overlaps of and unlicensed slivers between adjacent licences may then occur. This has caused problems between operators and between licence authorities and operators at both the acquisition and the development phases of projects. This Guidance Note sets out a procedure for describing boundaries which, if followed for new contract areas world-wide, will alleviate the problems. This Guidance Note is intended to be useful to three specific groups: 1. Exploration managers and lawyers in hydrocarbon exploration companies who negotiate for licence acreage but who may have limited geodetic awareness 2. Geomatics professionals in hydrocarbon exploration and development companies, for whom the guidelines may serve as a useful summary of accepted best practice 3. Licensing authorities. The guidance is intended to apply to both onshore and offshore areas. This Guidance Note does not attempt to cover every aspect of licence boundary definition. In the interests of producing a concise document that may be as easily understood by the layman as well as the specialist, definitions which are adequate for most licences have been covered. Complex licence boundaries especially those following river features need specialist advice from both the survey and the legal professions and are beyond the scope of this Guidance Note. -
Is Mount Everest Higher Now Than 100 Years
Is Mount Everest higher now than 155 years ago?' Giorgio Poretti All human works are subject to error, and it is only in the power of man to guard against its intrusion by care and attention. (George Everest) Dipartimento di Matematica e Informatica CER Telegeomatica - Università di Trieste Foreword One day in the Spring of 1852 at Dehra Dun, India, in the foot hills of the Himalayas, the door of the office of the Director General of the Survey of India opens. Enters Radanath Sikdar, the chief of the team of human computers who were processing the data of the triangulation measurements of the Himalayan peaks taken during the Winter. "Sir I have discovered the highest mountain of the world…….it is Peak n. XV". These words, reported by Col. Younghausband have become a legend in the measurement of Mt. Everest. Introduction The height of a mountain is determined by three main factors. The first is the sea level that would be under the mountain if the water could flow freely under the continents. The second depends on the accuracy of the elevations of the points in the valley from which the measurements are performed, and on the mareograph taken as a reference (height datum). The third factor depends on the amount of snow on the summit. This changes from season to season and from year to year with a variation that exceeds a metre between spring and autumn. Optical measurements from a long distance are also heavily influenced by the refraction of the atmosphere (due to the difference of pressure and temperature between the points of observation in the valley and the summit), and by the plumb-line deflections. -
What Does Height Really Mean?
Department of Natural Resources and the Environment Department of Natural Resources and the Environment Monographs University of Connecticut Year 2007 What Does Height Really Mean? Thomas H. Meyer∗ Daniel R. Romany David B. Zilkoskiz ∗University of Connecticut, [email protected] yNational Geodetic Survey zNational Geodetic Suvey This paper is posted at DigitalCommons@UConn. http://digitalcommons.uconn.edu/nrme monos/1 What does height really mean? Thomas Henry Meyer Department of Natural Resources Management and Engineering University of Connecticut Storrs, CT 06269-4087 Tel: (860) 486-2840 Fax: (860) 486-5480 E-mail: [email protected] Daniel R. Roman David B. Zilkoski National Geodetic Survey National Geodetic Survey 1315 East-West Highway 1315 East-West Highway Silver Springs, MD 20910 Silver Springs, MD 20910 E-mail: [email protected] E-mail: [email protected] June, 2007 ii The authors would like to acknowledge the careful and constructive reviews of this series by Dr. Dru Smith, Chief Geodesist of the National Geodetic Survey. Contents 1 Introduction 1 1.1Preamble.......................................... 1 1.2Preliminaries........................................ 2 1.2.1 TheSeries...................................... 3 1.3 Reference Ellipsoids . ................................... 3 1.3.1 Local Reference Ellipsoids . ........................... 3 1.3.2 Equipotential Ellipsoids . ........................... 5 1.3.3 Equipotential Ellipsoids as Vertical Datums ................... 6 1.4MeanSeaLevel....................................... 8 1.5U.S.NationalVerticalDatums.............................. 10 1.5.1 National Geodetic Vertical Datum of 1929 (NGVD 29) . ........... 10 1.5.2 North American Vertical Datum of 1988 (NAVD 88) . ........... 11 1.5.3 International Great Lakes Datum of 1985 (IGLD 85) . ........... 11 1.5.4 TidalDatums.................................... 12 1.6Summary.......................................... 14 2 Physics and Gravity 15 2.1Preamble......................................... -
Vertical Component
ARTIFICIAL SATELLITES, Vol. 46, No. 3 – 2011 DOI: 10.2478/v10018-012-0001-2 THE PROBLEM OF COMPATIBILITY AND INTEROPERABILITY OF SATELLITE NAVIGATION SYSTEMS IN COMPUTATION OF USER’S POSITION Jacek Januszewski Gdynia Maritime University, Navigation Department al. JanaPawla II 3, 81–345 Gdynia, Poland e–mail:[email protected] ABSTRACT. Actually (June 2011) more than 60 operational GPS and GLONASS (Satellite Navigation Systems – SNS), EGNOS, MSAS and WAAS (Satellite Based Augmentation Systems – SBAS) satellites are in orbits transmitting a variety of signals on multiple frequencies. All these satellite signals and different services designed for the users must be compatible and open signals and services should also be interoperable to the maximum extent possible. Interoperability definition addresses signal, system time and geodetic reference frame considerations. The part of compatibility and interoperability of all these systems and additionally several systems under construction as Compass, Galileo, GAGAN, SDCM or QZSS in computation user’s position is presented in this paper. Three parameters – signal in space, system time and coordinate reference frame were taken into account in particular. Keywords: Satellite Navigation System (SNS), Saellite Based Augmentation System (SBAS), compability, interoperability, coordinate reference frame, time reference, signal in space INTRODUCTION Information about user’s position can be obtained from specialized electronic position-fixing systems, in particular, Satellite Navigation Systems (SNS) as GPS and GLONASS, and Satellite Based Augmentation Systems (SBAS) as EGNOS, WAAS and MSAS. All these systems are known also as GNSS (Global Navigation Satellite System). Actually (June 2011) more than 60 operational GPS, GLONASS, EGNOS, MSAS and WAAS satellites are in orbits transmitting a variety of signals on multiple frequencies. -
Advanced Positioning for Offshore Norway
Advanced Positioning for Offshore Norway Thomas Alexander Sahl Petroleum Geoscience and Engineering Submission date: June 2014 Supervisor: Sigbjørn Sangesland, IPT Co-supervisor: Bjørn Brechan, IPT Norwegian University of Science and Technology Department of Petroleum Engineering and Applied Geophysics Summary When most people hear the word coordinates, they think of latitude and longitude, variables that describe a location on a spherical Earth. Unfortunately, the reality of the situation is far more complex. The Earth is most accurately represented by an ellipsoid, the coordinates are three-dimensional, and can be found in various forms. The coordinates are also ambiguous. Without a proper reference system, a geodetic datum, they have little meaning. This field is what is known as "Geodesy", a science of exactly describing a position on the surface of the Earth. This Thesis aims to build the foundation required for the position part of a drilling software. This is accomplished by explaining, in detail, the field of geodesy and map projections, as well as their associated formulae. Special considerations is taken for the area offshore Norway. Once the guidelines for transformation and conversion have been established, the formulae are implemented in MATLAB. All implemented functions are then verified, for every conceivable method of opera- tion. After which, both the limitation and accuracy of the various functions are discussed. More specifically, the iterative steps required for the computation of geographic coordinates, the difference between the North Sea Formulae and the Bursa-Wolf transformation, and the accuracy of Thomas-UTM series for UTM projections. The conclusion is that the recommended guidelines have been established and implemented. -
Determination of Geoid and Transformation Parameters by Using GPS on the Region of Kadınhanı in Konya
Determination of Geoid And Transformation Parameters By Using GPS On The Region of Kadınhanı In Konya Fuat BAŞÇİFTÇİ, Hasan ÇAĞLA, Turgut AYTEN, Sabahattin Akkuş, Beytullah Yalcin and İsmail ŞANLIOĞLU, Turkey Key words: GPS, Geoid Undulation, Ellipsoidal Height, Transformation Parameters. SUMMARY As known, three dimensional position (3D) of a point on the earth can be obtained by GPS. It has emerged that ellipsoidal height of a point positioning by GPS as 3D position, is vertical distance measured along the plumb line between WGS84 ellipsoid and a point on the Earth’s surface, when alone vertical position of a point is examined. If orthometric height belonging to this point is known, the geoid undulation may be practically found by height difference between ellipsoidal and orthometric height. In other words, the geoid may be determined by using GPS/Levelling measurements. It has known that the classical geodetic networks (triangulation or trilateration networks) established by terrestrial methods are insufficient to contemporary requirements. To transform coordinates obtained by GPS to national coordinate system, triangulation or trilateration network’s coordinates of national system are used. So high accuracy obtained by GPS get lost a little. These results are dependent on accuracy of national coordinates on region worked. Thus results have different accuracy on the every region. The geodetic network on the region of Kadınhanı in Konya had been established according to national coordinate system and the points of this network have been used up to now. In this study, the test network will institute on Kadınhanı region. The geodetic points of this test network will be established in the proper distribution for using of the persons concerned. -
Uk Offshore Operators Association (Surveying and Positioning
U.K. OFFSHORE OPERATORS ASSOCIATION (SURVEYING AND POSITIONING COMMITTEE) GUIDANCE NOTES ON THE USE OF CO-ORDINATE SYSTEMS IN DATA MANAGEMENT ON THE UKCS (DECEMBER 1999) Version 1.0c Whilst every effort has been made to ensure the accuracy of the information contained in this publication, neither UKOOA, nor any of its members will assume liability for any use made thereof. Copyright ã 1999 UK Offshore Operators Association Prepared on behalf of the UKOOA Surveying and Positioning Committee by Richard Wylde, The SIMA Consultancy Limited with assistance from: Roger Lott, BP Amoco Exploration Geir Simensen, Shell Expro A Company Limited by Guarantee UKOOA, 30 Buckingham Gate, London, SW1E 6NN Registered No. 1119804 England _____________________________________________________________________________________________________________________Page 2 CONTENTS 1. INTRODUCTION AND BACKGROUND .......................................................................3 1.1 Introduction ..........................................................................................................3 1.2 Background..........................................................................................................3 2. WHAT HAS HAPPENED AND WHY ............................................................................4 2.1 Longitude 6°W (ED50) - the Thunderer Line .........................................................4 3. GUIDANCE FOR DATA USERS ..................................................................................6 3.1 How will we map the -
On the Geoid and Orthometric Height Vs. Quasigeoid and Normal Height
J. Geod. Sci. 2018; 8:115–120 Research Article Open Access Lars E. Sjöberg* On the geoid and orthometric height vs. quasigeoid and normal height https://doi.org/10.1515/jogs-2018-0011 Keywords: ambiguous quasigeoid, geoid, geoid- Received August 6, 2018; accepted November 6, 2018 quasigeoid difference, resolution, vertical datum, quasi- geoid Abstract: The geoid, but not the quasigeoid, is an equipo- tential surface in the Earth’s gravity field that can serve both as a geodetic datum and a reference surface in geo- physics. It is also a natural zero-level surface, as it agrees 1 Introduction with the undisturbed mean sea level. Orthometric heights are physical heights above the geoid, while normal heights The geoid is an important equipotential surface and ver- are geometric heights (of the telluroid) above the reference tical reference surface in geodesy and geophysics. The ellipsoid. Normal heights and the quasigeoid can be deter- quasigeoid, introduced by M.S. Moldensky (Molodensky mined without any information on the Earth’s topographic et al. 1962) is not an equipotential surface, and it has density distribution, which is not the case for orthometric no special meaning in geophysics. The geoid serves as heights and geoid. the ideal reference surface for height systems in all coun- We show from various derivations that the difference be- tries that adopt orthometric heigths, while the rest of the tween the geoid and the quasigeoid heights, being of the world uses the quasigeoid with normal height systems (or order of 5 m, can be expressed by the simple Bouguer grav- normal-orthometric heights with more or less unknown ity anomaly as the only term that includes the topographic zero-levels). -
Geodetic System 1 Geodetic System
Geodetic system 1 Geodetic system Geodesy Fundamentals Geodesy · Geodynamics Geomatics · Cartography Concepts Datum · Distance · Geoid Fig. Earth · Geodetic sys. Geog. coord. system Hor. pos. represent. Lat./Long. · Map proj. Ref. ellipsoid · Sat. geodesy Spatial ref. sys. Technologies GNSS · GPS · GLONASS Standards ED50 · ETRS89 · GRS 80 NAD83 · NAVD88 · SAD69 SRID · UTM · WGS84 History History of geodesy NAVD29 Geodetic systems or geodetic data are used in geodesy, navigation, surveying by cartographers and satellite navigation systems to translate positions indicated on their products to their real position on earth. The systems are needed because the earth is an imperfect sphere. Also the earth is an imperfect ellipsoid. This can be verified by differentiating the equation for an ellipsoid and solving for dy/dx. It is a constant multiplied by x/y. Then derive the force equation from the centrifugal force acting on an object on the earth's surface and the gravitational force. Switch the x and y components and multiply one of them by negative one. This is the differential equation which when solved will yield the equation for the earth's surface. This is not a constant multiplied by x/y. Note that the earth's surface is also not an equal-potential surface, as can be verified by calculating the potential at the equator and the potential at a pole. The earth is an equal force surface. A one kilogram frictionless object on the ideal earth's surface does not have any force acting upon it to cause it to move either north or south. There is no simple analytical solution to this differential equation. -
Article Is Part of the Spe- Senschaft, Kunst Und Technik, 7, 397–424, 1913
IUGG: from different spheres to a common globe Hist. Geo Space Sci., 10, 151–161, 2019 https://doi.org/10.5194/hgss-10-151-2019 © Author(s) 2019. This work is distributed under the Creative Commons Attribution 4.0 License. The International Association of Geodesy: from an ideal sphere to an irregular body subjected to global change Hermann Drewes1 and József Ádám2 1Technische Universität München, Munich 80333, Germany 2Budapest University of Technology and Economics, Budapest, P.O. Box 91, 1521, Hungary Correspondence: Hermann Drewes ([email protected]) Received: 11 November 2018 – Revised: 21 December 2018 – Accepted: 4 January 2019 – Published: 16 April 2019 Abstract. The history of geodesy can be traced back to Thales of Miletus ( ∼ 600 BC), who developed the concept of geometry, i.e. the measurement of the Earth. Eratosthenes (276–195 BC) recognized the Earth as a sphere and determined its radius. In the 18th century, Isaac Newton postulated an ellipsoidal figure due to the Earth’s rotation, and the French Academy of Sciences organized two expeditions to Lapland and the Viceroyalty of Peru to determine the different curvatures of the Earth at the pole and the Equator. The Prussian General Johann Jacob Baeyer (1794–1885) initiated the international arc measurement to observe the irregular figure of the Earth given by an equipotential surface of the gravity field. This led to the foundation of the International Geodetic Association, which was transferred in 1919 to the Section of Geodesy of the International Union of Geodesy and Geophysics. This paper presents the activities from 1919 to 2019, characterized by a continuous broadening from geometric to gravimetric observations, from exclusive solid Earth parameters to atmospheric and hydrospheric effects, and from static to dynamic models. -
Heights, the Geopotential, and Vertical Datums
Heights, the Geopotential, and Vertical Datums Christopher Jekeli Department of Civil and Environmental Engineering and Geodetic Science Ohio State University September 2000 1 . Introduction With the Global Positioning System (GPS) now providing heights almost effortlessly, and with many national and international agencies in different regions of the world re-considering the determination of height and their vertical networks and datums, it is useful to review the fundamental theory of heights from the traditional geodetic point of view, as well as from the modern standpoint which addresses the centimeter to sub-centimeter accuracy that is now foreseen with satellite positioning systems. The discussion assumes that the reader is somewhat familiar with physical geodesy, in particular with the foundations of potential theory, but the development proceeds from first principles in review fashion. Moreover, concepts and geodetic quantities are introduced as they are needed, which should give the reader a sense that nothing is a priori given, unless so stated explicitly. 2 . Heights Points on or near the Earth’s surface commonly are associated with three coordinates, a latitude, a longitude, and a height. The latitude and longitude refer to an oblate ellipsoid of revolution and are designated more precisely as geodetic latitude and longitude. This ellipsoid is a geometric, mathematical figure that is chosen in some way to fit the mean sea level either globally or, historically, over some region of the Earth’s surface, neither of which concerns us at the moment. We assume that its center is at the Earth’s center of mass and its minor axis is aligned with the Earth’s reference pole.