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Universal Transverse Mercator coordinate system

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1985: 1413: 1980:{\displaystyle {\begin{aligned}\alpha _{1}&={\frac {1}{2}}n-{\frac {2}{3}}n^{2}+{\frac {5}{16}}n^{3},&\alpha _{2}&={\frac {13}{48}}n^{2}-{\frac {3}{5}}n^{3},&\alpha _{3}&={\frac {61}{240}}n^{3},\\\beta _{1}&={\frac {1}{2}}n-{\frac {2}{3}}n^{2}+{\frac {37}{96}}n^{3},&\beta _{2}&={\frac {1}{48}}n^{2}+{\frac {1}{15}}n^{3},&\beta _{3}&={\frac {17}{480}}n^{3},\\\delta _{1}&=2n-{\frac {2}{3}}n^{2}-2n^{3},&\delta _{2}&={\frac {7}{3}}n^{2}-{\frac {8}{5}}n^{3},&\delta _{3}&={\frac {56}{15}}n^{3}.\end{aligned}}} 513: 42: 692: 704:
larger) coordinates for both adjoining UTM zones are usually printed within a minimum distance of 40 km on either side of a zone boundary. Ideally, the coordinates of each position should be measured on the grid for the zone in which they are located, but because the scale factor is still relatively small near zone boundaries, it is possible to overlap measurements into an adjoining zone for some distance when necessary.
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Distortion of scale increases in each UTM zone as the boundaries between the UTM zones are approached. However, it is often convenient or necessary to measure a series of locations on a single grid when some are located in two adjacent zones. Around the boundaries of large scale maps (1:100,000 or
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Universal Transverse Mercator (UTM) Grid Zones 31N thru 37N differ from the standard 6° wide by 84° zone for the northern hemisphere, in part to accommodate the western part of the Kingdom of Norway. For more on its history, see Clifford J. Mugnier's article on Grids & Datums of The Kingdom of
541:. It was probably carried out by the Abteilung für Luftbildwesen (Department for Aerial Photography). From 1947 onward the US Army employed a very similar system, but with the now-standard 0.9996 scale factor at the central meridian as opposed to the German 1.0. For areas within the 537:) apparently dating from 1943–1944 bear the inscription UTMREF followed by grid letters and digits, and projected according to the transverse Mercator, a finding that would indicate that something called the UTM Reference system was developed in the 1942–43 time frame by the 716:(MGRS). They are however sometimes included in UTM notation. Including latitude bands in UTM notation can lead to ambiguous coordinates—as the letter "S" either refers to the southern hemisphere or a latitude band in the northern hemisphere—and should therefore be avoided. 667:, or lines of true 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 the standard lines and greater than 1 outside them, but the overall distortion is minimized. 3515: 3740: 2748: 2907: 4545: 2915: 749:
meters is about 100 km west of the central meridian. For most such points, the true distance would be slightly more than 100 km as measured on the surface of the Earth because of the distortion of the projection. UTM eastings range from about
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The UTM system divides the Earth into 60 zones, each 6° of longitude in width. Zone 1 covers longitude 180° to 174° W; zone numbering increases eastward to zone 60, which covers longitude 174°E to 180°. The polar regions south of
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WGS84 ellipsoid is now generally used to model the Earth in the UTM coordinate system, which means current UTM northing at a given point can differ up to 200 meters from the old. For different geographic regions, other
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north. Two points in Zone 17 have these coordinates, one in the northern hemisphere and one in the south; the non-ambiguous format is to specify the full zone and hemisphere designator, that is, "17N 630084 4833438".
482:. However, it differs from global latitude/longitude in that it divides earth into 60 zones and projects each to the plane as a basis for its coordinates. Specifying a location means specifying the zone and the 1418: 3727:{\displaystyle \xi '=\xi -\sum _{j=1}^{3}\beta _{j}\sin \left(2j\xi \right)\cosh \left(2j\eta \right),\,\,\,\eta '=\eta -\sum _{j=1}^{3}\beta _{j}\cos \left(2j\xi \right)\sinh \left(2j\eta \right),} 572:
Prior to the development of the Universal Transverse Mercator coordinate system, several European nations demonstrated the utility of grid-based conformal maps by mapping their territory during the
3958:{\displaystyle \sigma '=1-\sum _{j=1}^{3}2j\beta _{j}\cos \left(2j\xi \right)\cosh \left(2j\eta \right),\,\,\,\tau '=\sum _{j=1}^{3}2j\beta _{j}\sin \left(2j\xi \right)\sinh \left(2j\eta \right),} 883: 1263: 4710:{\displaystyle \gamma =\mathrm {H} \mathrm {e} \mathrm {m} \mathrm {i} \times \tan ^{-1}\left({\frac {\tau '+\sigma '\tan \xi '\tanh \eta '}{\sigma '-\tau '\tan \xi '\tanh \eta '}}\right).} 3104:{\displaystyle k={\frac {k_{0}A}{a}}{\sqrt {\left\{1+\left({\frac {1-n}{1+n}}\tan \varphi \right)^{2}\right\}{\frac {\sigma ^{2}+\tau ^{2}}{t^{2}+\cos ^{2}(\lambda -\lambda _{0})}}}},} 656:
to 0.9996 (a reduction of 1:2500), the amount of distortion is held below 1 part in 1,000 inside each zone. Distortion of scale increases to 1.0010 at the zone boundaries along the
986: 4532:{\displaystyle k={\frac {k_{0}A}{a}}{\sqrt {\left\{1+\left({\frac {1-n}{1+n}}\tan \varphi \right)^{2}\right\}{\frac {\cos ^{2}\xi '+\sinh ^{2}\eta '}{\sigma '^{2}+\tau '^{2}}}}},} 4154: 2356:{\displaystyle \xi '=\tan ^{-1}\left({\frac {t}{\cos(\lambda -\lambda _{0})}}\right),\,\,\,\eta '=\tanh ^{-1}\left({\frac {\sin(\lambda -\lambda _{0})}{\sqrt {1+t^{2}}}}\right),} 3285:{\displaystyle \gamma =\tan ^{-1}\left({\frac {\tau {\sqrt {1+t^{2}}}+\sigma t\tan(\lambda -\lambda _{0})}{\sigma {\sqrt {1+t^{2}}}-\tau t\tan(\lambda -\lambda _{0})}}\right).} 817: 2597: 2756: 1210: 1105: 648:
projection that can map a region of large north-south extent with low distortion. By using narrow zones of 6° of longitude (up to 668 km) in width, and reducing the
1177: 1078: 1028: 1007: 940: 1243: 2168:{\displaystyle t=\sinh \left(\tanh ^{-1}\left(\sin \varphi \right)-{\frac {2{\sqrt {n}}}{1+n}}\tanh ^{-1}\left({\frac {2{\sqrt {n}}}{1+n}}\sin \varphi \right)\right),} 4234: 3373: 1141: 1402:{\displaystyle {\begin{aligned}n&={\frac {f}{2-f}},&A&={\frac {a}{1+n}}\left(1+{\frac {n^{2}}{4}}+{\frac {n^{4}}{64}}+\cdots \right),\\{}\end{aligned}}} 1053: 3353: 3333: 3313: 4845:; Pfahlbusch, René. Geodetic grids in authoritative maps–new findings about the origin of the UTM Grid. Cartography and Geographic Information Science, 2016, 509:, and each has a designated central meridian. The scale factor at the central meridian is specified to be 0.9996 of true scale for most UTM systems in use. 3400: 4063: 2581:{\displaystyle \sigma =1+\sum _{j=1}^{3}2j\alpha _{j}\cos(2j\xi ')\cosh(2j\eta '),\,\,\,\tau =\sum _{j=1}^{3}2j\alpha _{j}\sin(2j\xi ')\sinh(2j\eta ').} 5191: 5168: 3971: 4814: 5174: 4750: 683:, the zones 32, 34 and 36 are not used, while zones 31 (9° wide), 33 (12° wide), 35 (12° wide), and 37 (9° wide) are extended to cover the gaps. 526: 735:
of each UTM zone is the intersection of the equator and the zone's central meridian. To avoid dealing with negative numbers, a false Easting of
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In each zone the scale factor of the central meridian reduces the diameter of the transverse cylinder to produce a secant projection with two
17: 5127: 223: 4726: 533:, starting in the early 1940s. However, a series of aerial photos found in the Bundesarchiv-Militärarchiv (the military section of the 391: 359: 5376: 5041: 5156: 369: 679:, zone 32 is extended 3° further west, and zone 31 is correspondingly shrunk to cover only open water. Also, in the region around 5059:
A General Formula for Calculating Meridian Arc Length and its Application to Coordinate Conversion in the Gauss-Krüger Projection
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meters at latitude 84 degrees North, the north end of the UTM zones. The southern hemisphere's northing at the equator is set at
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In the northern hemisphere positions are measured northward from zero at the equator. The maximum "northing" value is about
1056: 1031: 5437: 329: 471: 130: 5320: 607:, which means it preserves angles and therefore shapes across small regions. However, it distorts distance and area. 429: 576:. Calculating the distance between two points on these maps could be performed more easily in the field (using the 5120: 5077: 887: 5341: 5325: 4744: 4732: 807:
meters at 80 degrees South, the south end of the UTM zones. Therefore, no point has a negative northing value.
713: 215: 5489: 5409: 5239: 4221:{\displaystyle \lambda _{0}=\mathrm {Z} \mathrm {o} \mathrm {n} \mathrm {e} \times 6^{\circ }-183^{\circ }\,} 604: 585: 549: 231: 4738: 949: 581: 455: 516:
UTM zones on an equirectangular world map with irregular zones in red and New York City's zone highlighted
5403: 5398: 5392: 2743:{\displaystyle E=E_{0}+k_{0}A\left(\eta '+\sum _{j=1}^{3}\alpha _{j}\cos(2j\xi ')\sinh(2j\eta ')\right),} 2902:{\displaystyle N=N_{0}+k_{0}A\left(\xi '+\sum _{j=1}^{3}\alpha _{j}\sin(2j\xi ')\cosh(2j\eta ')\right),} 5276: 5150: 5113: 5512: 5271: 194: 4970: 5484: 5449: 4741:, a variation of UTM used in Canada with zones spaced 3° of longitude apart as opposed to UTM's 6°. 905: 625: 542: 161: 108: 4878:"THE UNIVERSAL GRIDS: Universal Transverse Mercator (UTM) and Universal Polar Stereographic (UPS)" 4782: 1182: 1083: 580:) than was possible using the trigonometric formulas required under the graticule-based system of 1149: 1061: 557: 534: 299: 259: 4323:{\displaystyle \lambda =\lambda _{0}+\tan ^{-1}\left({\frac {\sinh \eta '}{\cos \xi '}}\right),} 1012: 991: 919: 5432: 1215: 279: 5038:
Concise Derivation of Extensive Coordinate Conversion Formulae in the Gauss-Krüger Projection
4957: 3358: 1113: 584:. In the post-war years, these concepts were extended into the Universal Transverse Mercator/ 561: 546: 422: 339: 89: 5544: 5297: 5003: 4842: 1036: 732: 725: 675:
The UTM zones are uniform across the globe, except in two areas. On the southwest coast of
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Karney, Charles F. F. (2011). "Transverse Mercator with an accuracy of a few nanometers".
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A position on the Earth is given by the UTM zone number and hemisphere designator and the
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of the central meridian. Concise commentaries for their derivation have also been given.
645: 638: 634: 592: 588:(UTM/UPS) coordinate system, which is a global (or universal) system of grid-based maps. 577: 499: 151: 99: 5007: 3378: 5351: 5259: 5254: 5249: 5019: 4993: 4826: 4756: 3338: 3318: 3298: 71: 41: 4912: 512: 5346: 5221: 5216: 5180: 5023: 3502:{\displaystyle \xi ={\frac {N-N_{0}}{k_{0}A}},\,\,\,\eta ={\frac {E-E_{0}}{k_{0}A}},} 913: 600: 171: 156: 5549: 5162: 5011: 4945: 4846: 4141:{\displaystyle \varphi =\chi +\sum _{j=1}^{3}\delta _{j}\sin \left(2j\chi \right),} 415: 166: 5098:
Map Projections – A Working Manual. U.S. Geological Survey Professional Paper 1395
4877: 909: 573: 4941: 4047:{\displaystyle \chi =\sin ^{-1}\left({\frac {\sin \xi '}{\cosh \eta '}}\right).} 5336: 5186: 4949: 596: 566: 451: 379: 146: 120: 5096: 5015: 5533: 5504: 5460: 833: 819: 742:
meters is added to the central meridian. Thus a point that has an easting of
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Equatorial radius 6,378,388 meters, reciprocal of the flattening 297 exactly
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Note: Hemi = +1 for Northern, Hemi = −1 for Southern
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projection. The parameters vary by nation or region or mapping system.
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Equatorial radius 6,378,206.4 meters, polar radius 6,356,583.8 meters
4819:"NOAA History - Surveying and Mapping - Geodetic Surveys 1940 - 1990" 1249: 691: 538: 506: 495: 479: 467: 140: 66: 5465: 5286: 811: 680: 491: 475: 463: 319: 136: 125: 5105: 4998: 5443: 5331: 5310: 5136: 4762: 657: 199: 56: 33: 4735:, a variant of UTM designed to simplify transfer of coordinates. 3379:
From UTM coordinates (E, N, Zone, Hemi) to latitude, longitude (
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Latitude bands are not a part of UTM, but rather a part of the
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of 1866 was used. For the remaining areas of Earth, including
5061:, Bulletin of the Geospatial Information Authority of Japan, 459: 94: 5101:. United States Government Printing Office, Washington, D.C. 719: 696:
Norway that appeared in the October 1999 issue of PE&RS
5356: 529:(NOAA) website states that the system was developed by the 396: 289: 698:
http://www.asprs.org/a/resources/grids/10-99-norway.pdf
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The transverse Mercator projection is a variant of the
4548: 4339: 4237: 4157: 4066: 3974: 3743: 3518: 3403: 3361: 3341: 3321: 3301: 3120: 2918: 2759: 2600: 2372: 2184: 2012: 1416: 1261: 1218: 1185: 1152: 1116: 1086: 1064: 1039: 1015: 994: 952: 922: 854:, which is in UTM zone 17, and the grid position is 4942:"Konforme Abbildung des Erdellipsoids in der Ebene" 4709: 4531: 4322: 4220: 4140: 4046: 3957: 3726: 3501: 3367: 3347: 3327: 3307: 3284: 3103: 2901: 2742: 2580: 2355: 2167: 1979: 1401: 1237: 1204: 1171: 1135: 1099: 1072: 1047: 1022: 1001: 980: 934: 628:UTM zones, projected with Lambert conformal conic. 1069: 1044: 5531: 1248:In the following formulas, the distances are in 787:meters. Northings decrease southward from these 5094: 4787:PROJ coordinate transformation software library 4751:Universal Polar Stereographic coordinate system 527:National Oceanic and Atmospheric Administration 4838: 4836: 3394:First let's compute some intermediate values: 490:coordinate in that plane. The projection from 5121: 423: 4833: 2003:First we compute some intermediate values: 1252:. First, here are some preliminary values: 1030:and compute its UTM coordinates as well as 5128: 5114: 5051: 5030: 4727:European Terrestrial Reference System 1989 478:and treats the earth surface as a perfect 430: 416: 397:Spatial Reference System Identifier (SRID) 392:International Terrestrial Reference System 5042:Geospatial Information Authority of Japan 4997: 4217: 3853: 3852: 3851: 3622: 3621: 3620: 3452: 3451: 3450: 2479: 2478: 2477: 2262: 2261: 2260: 1068: 1043: 1016: 995: 974: 970: 720:Locating a position using UTM coordinates 1080:using a reference meridian of longitude 882:These formulae are truncated version of 690: 619: 595:, which was originally developed by the 511: 4920:National Geospatial-Intelligence Agency 4885:National_Geospatial-Intelligence_Agency 890:in 1912. They are accurate to around a 14: 5532: 4983: 4977: 4944:. Deutsches GeoForschungsZentrum GFZ. 4939: 4799: 884:Transverse Mercator: flattening series 877: 5109: 4933: 4808: 4783:"Universal Transverse Mercator (UTM)" 981:{\displaystyle 1/f=298.257\,223\,563} 728:planar coordinate pair in that zone. 531:United States Army Corps of Engineers 4753:, used at the North and South poles. 686: 505:Most zones in UTM span 6 degrees of 5135: 886:, which were originally derived by 458:to locations on the surface of the 402:Universal Transverse Mercator (UTM) 364:European Terrestrial Ref. Sys. 1989 24: 5088: 4804:. U.S. Government Printing Office. 4571: 4566: 4561: 4556: 4187: 4182: 4177: 4172: 472:horizontal position representation 274:Ordnance Survey Great Britain 1936 240:Discrete Global Grid and Geocoding 131:Horizontal position representation 25: 5561: 5083:Understanding the UTM projection. 5071: 4847:doi:10.1080/15230406.2015.1128851 4802:Map projections: A working manual 4747:, the map projection used by UTM. 988:. Let's take a point of latitude 707: 462:. Like the traditional method of 190:Global Nav. Sat. Systems (GNSSs) 40: 5078:UTM coordinates in Google Maps. 4894:from the original on 2024-02-13 912:along north-south axis with an 354:N. American Vertical Datum 1988 5342:Military Grid Reference System 5326:International Map of the World 4905: 4870: 4861: 4852: 4793: 4775: 4745:Transverse Mercator projection 4733:Military grid reference system 3269: 3250: 3207: 3188: 3090: 3071: 2888: 2871: 2862: 2845: 2729: 2712: 2703: 2686: 2572: 2555: 2546: 2529: 2471: 2454: 2445: 2428: 2322: 2303: 2247: 2228: 714:military grid reference system 610: 603:, in 1570. This projection is 384:Internet link to a point 2010 314:Geodetic Reference System 1980 232:Quasi-Zenith Sat. Sys. (QZSS) 13: 1: 5540:Geographic coordinate systems 5410:Ordnance Survey National Grid 4769: 4765:, a hierarchical zoned system 4759:, a hierarchical zoned system 670: 586:Universal Polar Stereographic 444:Universal Transverse Mercator 374:Chinese obfuscated datum 2002 18:Universal transverse Mercator 5395:(north-east Atlantic region) 4739:Modified transverse Mercator 1205:{\displaystyle k_{0}=0.9996} 1100:{\displaystyle \lambda _{0}} 888:Johann Heinrich Louis Krüger 644:Each of the 60 zones uses a 599:geographer and cartographer 324:Geographic point coord. 1983 7: 5490:ITU-T country calling codes 5404:National Topographic System 5399:Irish grid reference system 5393:ICES Statistical Rectangles 4720: 1999:) to UTM coordinates (E, N) 1172:{\displaystyle N_{0}=10000} 1073:{\displaystyle \gamma \,\!} 615: 284:Systema Koordinat 1942 goda 10: 5566: 5495:ITU-T mobile calling codes 4950:10.2312/GFZ.b103-krueger28 4913:"Military Map Reading 201" 1991:From latitude, longitude ( 1023:{\displaystyle \,\lambda } 1002:{\displaystyle \,\varphi } 935:{\displaystyle a=6378.137} 520: 344:World Geodetic System 1984 5513:Maidenhead Locator System 5503: 5475: 5461:United Kingdom post codes 5423: 5385: 5296: 5285: 5230: 5207: 5143: 5016:10.1007/s00190-011-0445-3 3375:is the Grid Convergence. 3355:is the Scale Factor, and 1238:{\displaystyle E_{0}=500} 652:factor along the central 474:, which means it ignores 334:North American Datum 1983 304:South American Datum 1969 5095:Snyder, John P. (1987). 4843:Buchroithner, Manfred F. 4800:Snyder, John P. (1987). 4057:The final formulae are: 2591:The final formulae are: 1107:. By convention, in the 906:spatial reference system 834:43.6425667°N 79.387139°W 543:contiguous United States 195:Global Pos. System (GPS) 162:Spatial reference system 3368:{\displaystyle \gamma } 1179:km. By convention also 1136:{\displaystyle N_{0}=0} 764:meters at the equator. 558:International Ellipsoid 535:German Federal Archives 5450:New Zealand post codes 4965:Cite journal requires 4940:Krüger, Louis (1912). 4711: 4533: 4324: 4222: 4142: 4099: 4048: 3959: 3885: 3781: 3728: 3660: 3556: 3503: 3369: 3349: 3329: 3309: 3286: 3105: 2903: 2828: 2744: 2669: 2582: 2506: 2405: 2357: 2169: 1981: 1403: 1239: 1206: 1173: 1137: 1101: 1074: 1049: 1024: 1003: 982: 936: 908:describes Earth as an 839:43.6425667; -79.387139 700: 629: 582:latitude and longitude 517: 494:to a UTM zone is some 5446:(Republic of Ireland) 5433:Australian post codes 4712: 4534: 4325: 4223: 4143: 4079: 4049: 3960: 3865: 3761: 3729: 3640: 3536: 3504: 3370: 3350: 3330: 3310: 3287: 3106: 2904: 2808: 2745: 2649: 2583: 2486: 2385: 2358: 2170: 1982: 1404: 1240: 1207: 1174: 1138: 1102: 1075: 1050: 1048:{\displaystyle k\,\!} 1025: 1004: 983: 937: 694: 623: 569:systems can be used. 562:World Geodetic System 515: 454:system for assigning 90:Geographical distance 27:Map projection system 5144:Administrative codes 4823:www.history.noaa.gov 4546: 4337: 4235: 4155: 4064: 3972: 3741: 3516: 3401: 3359: 3339: 3319: 3299: 3118: 2916: 2757: 2598: 2370: 2182: 2010: 1414: 1259: 1216: 1183: 1150: 1114: 1084: 1062: 1057:meridian convergence 1037: 1013: 992: 950: 920: 726:easting and northing 264:Sea Level Datum 1929 116:Geodetic coordinates 5485:ITU-R country codes 5455:Postal Index Number 5057:Kawase, K. (2011): 5048:, pp 1–6 5036:Kawase, K. (2012): 5008:2011JGeod..85..475K 1145:southern hemisphere 1109:northern hemisphere 878:Simplified formulae 829: /  646:transverse Mercator 624:Simplified view of 593:Mercator projection 578:Pythagorean theorem 500:transverse Mercator 294:European Datum 1950 252:Standards (history) 152:Reference ellipsoid 100:Figure of the Earth 5517:Historical : 5352:Open Location Code 5187:MARC country codes 5040:, Bulletin of the 4986:Journal of Geodesy 4757:Open Location Code 4707: 4529: 4320: 4218: 4138: 4044: 3955: 3724: 3499: 3365: 3345: 3325: 3305: 3282: 3101: 2899: 2740: 2578: 2353: 2165: 1977: 1975: 1399: 1397: 1235: 1202: 1169: 1133: 1097: 1070: 1045: 1032:point scale factor 1020: 999: 978: 942:km and an inverse 932: 701: 630: 518: 172:Vertical positions 5527: 5526: 5419: 5418: 5347:Natural Area Code 5277:FIFA country code 5267:Aircraft prefixes 5240:IANA country code 5222:ICAO airport code 5217:IATA airport code 5151:FIPS country code 4698: 4524: 4522: 4411: 4366: 4311: 4035: 3494: 3445: 3348:{\displaystyle k} 3328:{\displaystyle N} 3308:{\displaystyle E} 3273: 3233: 3171: 3096: 3094: 2990: 2945: 2344: 2343: 2251: 2141: 2127: 2093: 2079: 1958: 1916: 1893: 1835: 1782: 1740: 1717: 1675: 1652: 1636: 1592: 1550: 1527: 1485: 1462: 1446: 1373: 1353: 1325: 1292: 1009:and of longitude 914:equatorial radius 810:For example, the 687:Overlapping grids 601:Gerardus Mercator 440: 439: 388: 387: 167:Spatial relations 157:Satellite geodesy 112: 16:(Redirected from 5557: 5294: 5293: 5272:IOC country code 5183:(United Kingdom) 5163:FIPS county code 5130: 5123: 5116: 5107: 5106: 5102: 5066: 5055: 5049: 5034: 5028: 5027: 5001: 4981: 4975: 4974: 4968: 4963: 4961: 4953: 4937: 4931: 4930: 4928: 4927: 4917: 4909: 4903: 4902: 4900: 4899: 4893: 4882: 4874: 4868: 4865: 4859: 4856: 4850: 4840: 4831: 4830: 4825:. Archived from 4815:Dracup, Josef F. 4812: 4806: 4805: 4797: 4791: 4790: 4779: 4716: 4714: 4713: 4708: 4703: 4699: 4697: 4696: 4682: 4668: 4657: 4648: 4647: 4633: 4619: 4608: 4599: 4590: 4589: 4574: 4569: 4564: 4559: 4538: 4536: 4535: 4530: 4525: 4523: 4521: 4520: 4519: 4518: 4502: 4501: 4500: 4486: 4485: 4474: 4473: 4461: 4450: 4449: 4439: 4437: 4433: 4432: 4431: 4426: 4422: 4412: 4410: 4399: 4388: 4369: 4367: 4362: 4358: 4357: 4347: 4329: 4327: 4326: 4321: 4316: 4312: 4310: 4309: 4294: 4293: 4278: 4269: 4268: 4253: 4252: 4227: 4225: 4224: 4219: 4216: 4215: 4203: 4202: 4190: 4185: 4180: 4175: 4167: 4166: 4147: 4145: 4144: 4139: 4134: 4130: 4109: 4108: 4098: 4093: 4053: 4051: 4050: 4045: 4040: 4036: 4034: 4033: 4018: 4017: 4002: 3993: 3992: 3964: 3962: 3961: 3956: 3951: 3947: 3926: 3922: 3901: 3900: 3884: 3879: 3861: 3847: 3843: 3822: 3818: 3797: 3796: 3780: 3775: 3751: 3733: 3731: 3730: 3725: 3720: 3716: 3695: 3691: 3670: 3669: 3659: 3654: 3630: 3616: 3612: 3591: 3587: 3566: 3565: 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2246: 2245: 2217: 2208: 2207: 2192: 2174: 2172: 2171: 2166: 2161: 2157: 2156: 2152: 2142: 2140: 2129: 2128: 2123: 2117: 2107: 2106: 2094: 2092: 2081: 2080: 2075: 2069: 2064: 2060: 2042: 2041: 1986: 1984: 1983: 1978: 1976: 1969: 1968: 1959: 1951: 1942: 1941: 1927: 1926: 1917: 1909: 1904: 1903: 1894: 1886: 1877: 1876: 1862: 1861: 1846: 1845: 1836: 1828: 1810: 1809: 1793: 1792: 1783: 1775: 1766: 1765: 1751: 1750: 1741: 1733: 1728: 1727: 1718: 1710: 1701: 1700: 1686: 1685: 1676: 1668: 1663: 1662: 1653: 1645: 1637: 1629: 1620: 1619: 1603: 1602: 1593: 1585: 1576: 1575: 1561: 1560: 1551: 1543: 1538: 1537: 1528: 1520: 1511: 1510: 1496: 1495: 1486: 1478: 1473: 1472: 1463: 1455: 1447: 1439: 1430: 1429: 1408: 1406: 1405: 1400: 1398: 1394: 1385: 1381: 1374: 1369: 1368: 1359: 1354: 1349: 1348: 1339: 1326: 1324: 1310: 1293: 1291: 1277: 1244: 1242: 1241: 1236: 1228: 1227: 1211: 1209: 1208: 1203: 1195: 1194: 1178: 1176: 1175: 1170: 1162: 1161: 1142: 1140: 1139: 1134: 1126: 1125: 1106: 1104: 1103: 1098: 1096: 1095: 1079: 1077: 1076: 1071: 1054: 1052: 1051: 1046: 1029: 1027: 1026: 1021: 1008: 1006: 1005: 1000: 987: 985: 984: 979: 960: 941: 939: 938: 933: 897: 872: 870: 867: 861: 859: 853: 852: 850: 849: 848: 846: 841: 840: 835: 830: 827: 826: 825: 822: 806: 805: 802: 797:meters to about 796: 795: 792: 786: 785: 782: 776: 775: 772: 763: 762: 756: 755: 748: 747: 741: 740: 496:parameterization 432: 425: 418: 256: 255: 235: 227: 219: 211: 203: 143: 102: 44: 30: 29: 21: 5565: 5564: 5560: 5559: 5558: 5556: 5555: 5554: 5530: 5529: 5528: 5523: 5499: 5471: 5468:(United States) 5415: 5381: 5328:indexing system 5289: 5281: 5226: 5203: 5169:FIPS state code 5157:FIPS place code 5139: 5137:Geocode systems 5134: 5091: 5089:Further reading 5074: 5069: 5056: 5052: 5035: 5031: 4982: 4978: 4966: 4964: 4955: 4954: 4938: 4934: 4925: 4923: 4915: 4911: 4910: 4906: 4897: 4895: 4891: 4880: 4876: 4875: 4871: 4866: 4862: 4857: 4853: 4841: 4834: 4817: 4813: 4809: 4798: 4794: 4781: 4780: 4776: 4772: 4723: 4689: 4675: 4661: 4650: 4649: 4640: 4626: 4612: 4601: 4600: 4598: 4594: 4582: 4578: 4570: 4565: 4560: 4555: 4547: 4544: 4543: 4514: 4510: 4506: 4496: 4492: 4488: 4487: 4478: 4469: 4465: 4454: 4445: 4441: 4440: 4438: 4427: 4400: 4389: 4387: 4386: 4382: 4381: 4374: 4370: 4368: 4353: 4349: 4348: 4346: 4338: 4335: 4334: 4302: 4295: 4286: 4279: 4277: 4273: 4261: 4257: 4248: 4244: 4236: 4233: 4232: 4211: 4207: 4198: 4194: 4186: 4181: 4176: 4171: 4162: 4158: 4156: 4153: 4152: 4120: 4116: 4104: 4100: 4094: 4083: 4065: 4062: 4061: 4026: 4019: 4010: 4003: 4001: 3997: 3985: 3981: 3973: 3970: 3969: 3937: 3933: 3912: 3908: 3896: 3892: 3880: 3869: 3854: 3833: 3829: 3808: 3804: 3792: 3788: 3776: 3765: 3744: 3742: 3739: 3738: 3706: 3702: 3681: 3677: 3665: 3661: 3655: 3644: 3623: 3602: 3598: 3577: 3573: 3561: 3557: 3551: 3540: 3519: 3517: 3514: 3513: 3484: 3480: 3479: 3472: 3468: 3461: 3459: 3435: 3431: 3430: 3423: 3419: 3412: 3410: 3402: 3399: 3398: 3389: 3360: 3357: 3356: 3340: 3337: 3336: 3320: 3317: 3316: 3300: 3297: 3296: 3263: 3259: 3227: 3223: 3215: 3211: 3201: 3197: 3165: 3161: 3153: 3149: 3147: 3143: 3131: 3127: 3119: 3116: 3115: 3084: 3080: 3062: 3058: 3049: 3045: 3044: 3037: 3033: 3024: 3020: 3019: 3017: 3006: 2979: 2968: 2966: 2965: 2961: 2960: 2953: 2949: 2947: 2932: 2928: 2927: 2925: 2917: 2914: 2913: 2880: 2854: 2833: 2829: 2823: 2812: 2797: 2796: 2792: 2783: 2779: 2770: 2766: 2758: 2755: 2754: 2721: 2695: 2674: 2670: 2664: 2653: 2638: 2637: 2633: 2624: 2620: 2611: 2607: 2599: 2596: 2595: 2564: 2538: 2517: 2513: 2501: 2490: 2463: 2437: 2416: 2412: 2400: 2389: 2371: 2368: 2367: 2337: 2333: 2316: 2312: 2296: 2294: 2290: 2278: 2274: 2263: 2241: 2237: 2221: 2216: 2212: 2200: 2196: 2185: 2183: 2180: 2179: 2130: 2122: 2118: 2116: 2115: 2111: 2099: 2095: 2082: 2074: 2070: 2068: 2050: 2046: 2034: 2030: 2029: 2025: 2011: 2008: 2007: 2001: 1974: 1973: 1964: 1960: 1950: 1943: 1937: 1933: 1931: 1922: 1918: 1908: 1899: 1895: 1885: 1878: 1872: 1868: 1866: 1857: 1853: 1841: 1837: 1827: 1811: 1805: 1801: 1798: 1797: 1788: 1784: 1774: 1767: 1761: 1757: 1755: 1746: 1742: 1732: 1723: 1719: 1709: 1702: 1696: 1692: 1690: 1681: 1677: 1667: 1658: 1654: 1644: 1628: 1621: 1615: 1611: 1608: 1607: 1598: 1594: 1584: 1577: 1571: 1567: 1565: 1556: 1552: 1542: 1533: 1529: 1519: 1512: 1506: 1502: 1500: 1491: 1487: 1477: 1468: 1464: 1454: 1438: 1431: 1425: 1421: 1417: 1415: 1412: 1411: 1396: 1395: 1393: 1390: 1389: 1364: 1360: 1358: 1344: 1340: 1338: 1331: 1327: 1314: 1309: 1302: 1297: 1281: 1276: 1269: 1262: 1260: 1257: 1256: 1223: 1219: 1217: 1214: 1213: 1190: 1186: 1184: 1181: 1180: 1157: 1153: 1151: 1148: 1147: 1121: 1117: 1115: 1112: 1111: 1091: 1087: 1085: 1082: 1081: 1063: 1060: 1059: 1038: 1035: 1034: 1014: 1011: 1010: 993: 990: 989: 956: 951: 948: 947: 921: 918: 917: 910:oblate spheroid 895: 880: 868: 865: 863: 857: 855: 844: 842: 838: 836: 832: 831: 828: 823: 820: 818: 816: 815: 803: 800: 798: 793: 790: 788: 783: 780: 778: 773: 770: 768: 760: 758: 753: 751: 745: 743: 738: 736: 733:point of origin 722: 710: 689: 673: 618: 613: 574:interwar period 523: 436: 407: 406: 253: 245: 244: 233: 225: 217: 209: 201: 185: 177: 176: 135: 85: 77: 76: 52: 28: 23: 22: 15: 12: 11: 5: 5563: 5553: 5552: 5547: 5542: 5525: 5524: 5522: 5521: 5515: 5509: 5507: 5501: 5500: 5498: 5497: 5492: 5487: 5481: 5479: 5473: 5472: 5470: 5469: 5463: 5458: 5452: 5447: 5441: 5435: 5429: 5427: 5421: 5420: 5417: 5416: 5414: 5413: 5407: 5401: 5396: 5389: 5387: 5383: 5382: 5380: 5379: 5374: 5369: 5364: 5359: 5354: 5349: 5344: 5339: 5337:Marsden square 5334: 5329: 5323: 5318: 5313: 5308: 5302: 5300: 5291: 5283: 5282: 5280: 5279: 5274: 5269: 5264: 5263: 5262: 5257: 5252: 5242: 5236: 5234: 5228: 5227: 5225: 5224: 5219: 5213: 5211: 5205: 5204: 5202: 5201: 5195: 5189: 5184: 5178: 5172: 5166: 5160: 5154: 5147: 5145: 5141: 5140: 5133: 5132: 5125: 5118: 5110: 5104: 5103: 5090: 5087: 5086: 5085: 5080: 5073: 5072:External links 5070: 5068: 5067: 5050: 5029: 4992:(8): 475–485. 4976: 4967:|journal= 4932: 4904: 4887:. 1989-09-18. 4869: 4860: 4851: 4832: 4829:on 2019-12-18. 4807: 4792: 4773: 4771: 4768: 4767: 4766: 4760: 4754: 4748: 4742: 4736: 4730: 4722: 4719: 4718: 4717: 4706: 4702: 4695: 4692: 4688: 4685: 4681: 4678: 4674: 4671: 4667: 4664: 4660: 4656: 4653: 4646: 4643: 4639: 4636: 4632: 4629: 4625: 4622: 4618: 4615: 4611: 4607: 4604: 4597: 4593: 4588: 4585: 4581: 4577: 4573: 4568: 4563: 4558: 4554: 4551: 4540: 4539: 4528: 4517: 4513: 4509: 4505: 4499: 4495: 4491: 4484: 4481: 4477: 4472: 4468: 4464: 4460: 4457: 4453: 4448: 4444: 4436: 4430: 4425: 4421: 4418: 4415: 4409: 4406: 4403: 4398: 4395: 4392: 4385: 4380: 4377: 4373: 4365: 4361: 4356: 4352: 4345: 4342: 4331: 4330: 4319: 4315: 4308: 4305: 4301: 4298: 4292: 4289: 4285: 4282: 4276: 4272: 4267: 4264: 4260: 4256: 4251: 4247: 4243: 4240: 4229: 4228: 4214: 4210: 4206: 4201: 4197: 4193: 4189: 4184: 4179: 4174: 4170: 4165: 4161: 4149: 4148: 4137: 4133: 4129: 4126: 4123: 4119: 4115: 4112: 4107: 4103: 4097: 4092: 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1881: 1879: 1875: 1871: 1867: 1865: 1860: 1856: 1852: 1849: 1844: 1840: 1834: 1831: 1826: 1823: 1820: 1817: 1814: 1812: 1808: 1804: 1800: 1799: 1796: 1791: 1787: 1781: 1778: 1773: 1770: 1768: 1764: 1760: 1756: 1754: 1749: 1745: 1739: 1736: 1731: 1726: 1722: 1716: 1713: 1708: 1705: 1703: 1699: 1695: 1691: 1689: 1684: 1680: 1674: 1671: 1666: 1661: 1657: 1651: 1648: 1643: 1640: 1635: 1632: 1627: 1624: 1622: 1618: 1614: 1610: 1609: 1606: 1601: 1597: 1591: 1588: 1583: 1580: 1578: 1574: 1570: 1566: 1564: 1559: 1555: 1549: 1546: 1541: 1536: 1532: 1526: 1523: 1518: 1515: 1513: 1509: 1505: 1501: 1499: 1494: 1490: 1484: 1481: 1476: 1471: 1467: 1461: 1458: 1453: 1450: 1445: 1442: 1437: 1434: 1432: 1428: 1424: 1420: 1419: 1409: 1392: 1391: 1388: 1384: 1380: 1377: 1372: 1367: 1363: 1357: 1352: 1347: 1343: 1337: 1334: 1330: 1323: 1320: 1317: 1313: 1308: 1305: 1303: 1301: 1298: 1296: 1290: 1287: 1284: 1280: 1275: 1272: 1270: 1268: 1265: 1264: 1234: 1231: 1226: 1222: 1201: 1198: 1193: 1189: 1168: 1165: 1160: 1156: 1143:km and in the 1132: 1129: 1124: 1120: 1094: 1090: 1067: 1042: 1019: 998: 977: 973: 969: 966: 963: 959: 955: 931: 928: 925: 879: 876: 721: 718: 709: 708:Latitude bands 706: 688: 685: 672: 669: 665:standard lines 641:are excluded. 617: 614: 612: 609: 560:was used. The 522: 519: 452:map projection 438: 437: 435: 434: 427: 420: 412: 409: 408: 405: 404: 399: 394: 386: 385: 382: 376: 375: 372: 366: 365: 362: 356: 355: 352: 346: 345: 342: 336: 335: 332: 326: 325: 322: 316: 315: 312: 306: 305: 302: 296: 295: 292: 286: 285: 282: 276: 275: 272: 266: 265: 262: 254: 251: 250: 247: 246: 243: 242: 237: 229: 221: 213: 205: 197: 192: 186: 183: 182: 179: 178: 175: 174: 169: 164: 159: 154: 149: 147:Map projection 144: 133: 128: 123: 121:Geodetic datum 118: 113: 97: 92: 86: 83: 82: 79: 78: 75: 74: 69: 64: 59: 53: 50: 49: 46: 45: 37: 36: 26: 9: 6: 4: 3: 2: 5562: 5551: 5548: 5546: 5543: 5541: 5538: 5537: 5535: 5520: 5516: 5514: 5511: 5510: 5508: 5506: 5505:Amateur radio 5502: 5496: 5493: 5491: 5488: 5486: 5483: 5482: 5480: 5478: 5474: 5467: 5464: 5462: 5459: 5456: 5453: 5451: 5448: 5445: 5442: 5439: 5436: 5434: 5431: 5430: 5428: 5426: 5422: 5411: 5408: 5405: 5402: 5400: 5397: 5394: 5391: 5390: 5388: 5384: 5378: 5375: 5373: 5370: 5368: 5365: 5363: 5360: 5358: 5355: 5353: 5350: 5348: 5345: 5343: 5340: 5338: 5335: 5333: 5330: 5327: 5324: 5322: 5319: 5317: 5314: 5312: 5309: 5307: 5304: 5303: 5301: 5299: 5295: 5292: 5288: 5284: 5278: 5275: 5273: 5270: 5268: 5265: 5261: 5258: 5256: 5253: 5251: 5248: 5247: 5246: 5243: 5241: 5238: 5237: 5235: 5233: 5232:Country codes 5229: 5223: 5220: 5218: 5215: 5214: 5212: 5210: 5209:Airport codes 5206: 5199: 5196: 5193: 5190: 5188: 5185: 5182: 5179: 5176: 5173: 5170: 5167: 5164: 5161: 5158: 5155: 5152: 5149: 5148: 5146: 5142: 5138: 5131: 5126: 5124: 5119: 5117: 5112: 5111: 5108: 5100: 5099: 5093: 5092: 5084: 5081: 5079: 5076: 5075: 5064: 5060: 5054: 5047: 5043: 5039: 5033: 5025: 5021: 5017: 5013: 5009: 5005: 5000: 4995: 4991: 4987: 4980: 4972: 4959: 4951: 4947: 4943: 4936: 4921: 4914: 4908: 4890: 4886: 4879: 4873: 4864: 4855: 4848: 4844: 4839: 4837: 4828: 4824: 4820: 4816: 4811: 4803: 4796: 4788: 4784: 4778: 4774: 4764: 4761: 4758: 4755: 4752: 4749: 4746: 4743: 4740: 4737: 4734: 4731: 4728: 4725: 4724: 4704: 4700: 4693: 4690: 4686: 4683: 4679: 4676: 4672: 4669: 4665: 4662: 4658: 4654: 4651: 4644: 4641: 4637: 4634: 4630: 4627: 4623: 4620: 4616: 4613: 4609: 4605: 4602: 4595: 4591: 4586: 4583: 4579: 4575: 4552: 4549: 4542: 4541: 4526: 4515: 4511: 4507: 4503: 4497: 4493: 4489: 4482: 4479: 4475: 4470: 4466: 4462: 4458: 4455: 4451: 4446: 4442: 4434: 4428: 4423: 4419: 4416: 4413: 4407: 4404: 4401: 4396: 4393: 4390: 4383: 4378: 4375: 4371: 4363: 4359: 4354: 4350: 4343: 4340: 4333: 4332: 4317: 4313: 4306: 4303: 4299: 4296: 4290: 4287: 4283: 4280: 4274: 4270: 4265: 4262: 4258: 4254: 4249: 4245: 4241: 4238: 4231: 4230: 4212: 4208: 4204: 4199: 4195: 4191: 4168: 4163: 4159: 4151: 4150: 4135: 4131: 4127: 4124: 4121: 4117: 4113: 4110: 4105: 4101: 4095: 4090: 4087: 4084: 4080: 4076: 4073: 4070: 4067: 4060: 4059: 4058: 4041: 4037: 4030: 4027: 4023: 4020: 4014: 4011: 4007: 4004: 3998: 3994: 3989: 3986: 3982: 3978: 3975: 3968: 3967: 3952: 3948: 3944: 3941: 3938: 3934: 3930: 3927: 3923: 3919: 3916: 3913: 3909: 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3140: 3135: 3132: 3128: 3124: 3121: 3114: 3113: 3098: 3085: 3081: 3077: 3074: 3068: 3063: 3059: 3055: 3050: 3046: 3038: 3034: 3030: 3025: 3021: 3013: 3007: 3002: 2998: 2995: 2992: 2986: 2983: 2980: 2975: 2972: 2969: 2962: 2957: 2954: 2950: 2942: 2938: 2933: 2929: 2922: 2919: 2912: 2911: 2896: 2892: 2884: 2881: 2877: 2874: 2868: 2865: 2858: 2855: 2851: 2848: 2842: 2839: 2834: 2830: 2824: 2819: 2816: 2813: 2809: 2805: 2801: 2798: 2793: 2789: 2784: 2780: 2776: 2771: 2767: 2763: 2760: 2753: 2752: 2737: 2733: 2725: 2722: 2718: 2715: 2709: 2706: 2699: 2696: 2692: 2689: 2683: 2680: 2675: 2671: 2665: 2660: 2657: 2654: 2650: 2646: 2642: 2639: 2634: 2630: 2625: 2621: 2617: 2612: 2608: 2604: 2601: 2594: 2593: 2592: 2575: 2568: 2565: 2561: 2558: 2552: 2549: 2542: 2539: 2535: 2532: 2526: 2523: 2518: 2514: 2510: 2507: 2502: 2497: 2494: 2491: 2487: 2483: 2480: 2474: 2467: 2464: 2460: 2457: 2451: 2448: 2441: 2438: 2434: 2431: 2425: 2422: 2417: 2413: 2409: 2406: 2401: 2396: 2393: 2390: 2386: 2382: 2379: 2376: 2373: 2366: 2365: 2350: 2346: 2338: 2334: 2330: 2327: 2317: 2313: 2309: 2306: 2300: 2297: 2291: 2287: 2282: 2279: 2275: 2271: 2267: 2264: 2257: 2253: 2242: 2238: 2234: 2231: 2225: 2222: 2218: 2213: 2209: 2204: 2201: 2197: 2193: 2189: 2186: 2178: 2177: 2162: 2158: 2153: 2149: 2146: 2143: 2137: 2134: 2131: 2124: 2119: 2112: 2108: 2103: 2100: 2096: 2089: 2086: 2083: 2076: 2071: 2065: 2061: 2057: 2054: 2051: 2047: 2043: 2038: 2035: 2031: 2026: 2022: 2019: 2016: 2013: 2006: 2005: 2004: 1998: 1994: 1970: 1965: 1961: 1955: 1952: 1947: 1945: 1938: 1934: 1928: 1923: 1919: 1913: 1910: 1905: 1900: 1896: 1890: 1887: 1882: 1880: 1873: 1869: 1863: 1858: 1854: 1850: 1847: 1842: 1838: 1832: 1829: 1824: 1821: 1818: 1815: 1813: 1806: 1802: 1794: 1789: 1785: 1779: 1776: 1771: 1769: 1762: 1758: 1752: 1747: 1743: 1737: 1734: 1729: 1724: 1720: 1714: 1711: 1706: 1704: 1697: 1693: 1687: 1682: 1678: 1672: 1669: 1664: 1659: 1655: 1649: 1646: 1641: 1638: 1633: 1630: 1625: 1623: 1616: 1612: 1604: 1599: 1595: 1589: 1586: 1581: 1579: 1572: 1568: 1562: 1557: 1553: 1547: 1544: 1539: 1534: 1530: 1524: 1521: 1516: 1514: 1507: 1503: 1497: 1492: 1488: 1482: 1479: 1474: 1469: 1465: 1459: 1456: 1451: 1448: 1443: 1440: 1435: 1433: 1426: 1422: 1410: 1386: 1382: 1378: 1375: 1370: 1365: 1361: 1355: 1350: 1345: 1341: 1335: 1332: 1328: 1321: 1318: 1315: 1311: 1306: 1304: 1299: 1294: 1288: 1285: 1282: 1278: 1273: 1271: 1266: 1255: 1254: 1253: 1251: 1246: 1232: 1229: 1224: 1220: 1199: 1196: 1191: 1187: 1166: 1163: 1158: 1154: 1146: 1130: 1127: 1122: 1118: 1110: 1092: 1088: 1065: 1058: 1040: 1033: 1017: 996: 975: 971: 967: 964: 961: 957: 953: 945: 929: 926: 923: 915: 911: 907: 904: 899: 893: 889: 885: 875: 851: 821:43°38′33.24″N 813: 808: 765: 734: 729: 727: 717: 715: 705: 699: 693: 684: 682: 678: 668: 666: 661: 659: 655: 651: 647: 642: 640: 637:and north of 636: 627: 626:contiguous US 622: 608: 606: 602: 598: 594: 589: 587: 583: 579: 575: 570: 568: 563: 559: 555: 551: 548: 544: 540: 536: 532: 528: 514: 510: 508: 503: 501: 497: 493: 489: 485: 481: 477: 473: 469: 465: 461: 457: 453: 449: 445: 433: 428: 426: 421: 419: 414: 413: 411: 410: 403: 400: 398: 395: 393: 390: 389: 383: 381: 378: 377: 373: 371: 368: 367: 363: 361: 358: 357: 353: 351: 348: 347: 343: 341: 338: 337: 333: 331: 328: 327: 323: 321: 318: 317: 313: 311: 308: 307: 303: 301: 298: 297: 293: 291: 288: 287: 283: 281: 278: 277: 273: 271: 268: 267: 263: 261: 258: 257: 249: 248: 241: 238: 236: 230: 228: 222: 220: 214: 212: 208:BeiDou (BDS) 206: 204: 198: 196: 193: 191: 188: 187: 181: 180: 173: 170: 168: 165: 163: 160: 158: 155: 153: 150: 148: 145: 142: 138: 134: 132: 129: 127: 124: 122: 119: 117: 114: 110: 109:circumference 106: 101: 98: 96: 93: 91: 88: 87: 81: 80: 73: 70: 68: 65: 63: 60: 58: 55: 54: 48: 47: 43: 39: 38: 35: 32: 31: 19: 5425:Postal codes 5366: 5097: 5065:, 1–13 5062: 5053: 5045: 5032: 4989: 4985: 4979: 4958:cite journal 4935: 4924:. Retrieved 4922:. 2002-05-29 4907: 4896:. Retrieved 4872: 4863: 4854: 4827:the original 4822: 4810: 4801: 4795: 4786: 4777: 4056: 3393: 3390: 3384: 3380: 3315:is Easting, 3294: 2590: 2002: 1996: 1992: 1247: 900: 896:3000 km 881: 824:79°23′13.7″W 809: 766: 730: 723: 711: 702: 674: 662: 643: 631: 590: 571: 524: 504: 487: 483: 447: 443: 441: 401: 184:Technologies 139: / 51:Fundamentals 5545:Cartography 5519:QRA locator 5377:WMO squares 5290:place codes 5153:(FIPS 10-4) 837: / 611:Definitions 456:coordinates 62:Geodynamics 5534:Categories 5372:what3words 5316:Geohash-36 5245:ISO 3166-1 5171:(FIPS 5-2) 5165:(FIPS 6-4) 4926:2009-06-19 4898:2024-02-13 4770:References 1250:kilometers 944:flattening 892:millimeter 843: ( 757:meters to 671:Exceptions 470:, it is a 5477:Telephony 5362:UN/LOCODE 5306:C-squares 5192:SGC codes 5181:GSS codes 5159:(FIPS 55) 5024:118619524 4999:1002.1417 4691:η 4687:⁡ 4677:ξ 4673:⁡ 4663:τ 4659:− 4652:σ 4642:η 4638:⁡ 4628:ξ 4624:⁡ 4614:σ 4603:τ 4592:⁡ 4584:− 4576:× 4550:γ 4508:τ 4490:σ 4480:η 4476:⁡ 4456:ξ 4452:⁡ 4420:φ 4417:⁡ 4394:− 4304:ξ 4300:⁡ 4288:η 4284:⁡ 4271:⁡ 4263:− 4246:λ 4239:λ 4213:∘ 4205:− 4200:∘ 4192:× 4160:λ 4128:χ 4114:⁡ 4102:δ 4081:∑ 4074:χ 4068:φ 4028:η 4024:⁡ 4012:ξ 4008:⁡ 3995:⁡ 3987:− 3976:χ 3945:η 3931:⁡ 3920:ξ 3906:⁡ 3894:β 3867:∑ 3856:τ 3841:η 3827:⁡ 3816:ξ 3802:⁡ 3790:β 3763:∑ 3759:− 3746:σ 3714:η 3700:⁡ 3689:ξ 3675:⁡ 3663:β 3642:∑ 3638:− 3635:η 3625:η 3610:η 3596:⁡ 3585:ξ 3571:⁡ 3559:β 3538:∑ 3534:− 3531:ξ 3521:ξ 3466:− 3454:η 3417:− 3405:ξ 3363:γ 3261:λ 3257:− 3254:λ 3248:⁡ 3239:τ 3236:− 3213:σ 3199:λ 3195:− 3192:λ 3186:⁡ 3177:σ 3151:τ 3141:⁡ 3133:− 3122:γ 3082:λ 3078:− 3075:λ 3069:⁡ 3035:τ 3022:σ 2999:φ 2996:⁡ 2973:− 2882:η 2869:⁡ 2856:ξ 2843:⁡ 2831:α 2810:∑ 2799:ξ 2723:η 2710:⁡ 2697:ξ 2684:⁡ 2672:α 2651:∑ 2640:η 2566:η 2553:⁡ 2540:ξ 2527:⁡ 2515:α 2488:∑ 2481:τ 2465:η 2452:⁡ 2439:ξ 2426:⁡ 2414:α 2387:∑ 2374:σ 2314:λ 2310:− 2307:λ 2301:⁡ 2288:⁡ 2280:− 2265:η 2239:λ 2235:− 2232:λ 2226:⁡ 2210:⁡ 2202:− 2187:ξ 2150:φ 2147:⁡ 2109:⁡ 2101:− 2066:− 2058:φ 2055:⁡ 2044:⁡ 2036:− 2023:⁡ 1935:δ 1906:− 1870:δ 1848:− 1825:− 1803:δ 1759:β 1694:β 1642:− 1613:β 1569:α 1540:− 1504:α 1452:− 1423:α 1379:⋯ 1286:− 1089:λ 1066:γ 1018:λ 997:φ 605:conformal 550:Ellipsoid 539:Wehrmacht 507:longitude 480:ellipsoid 468:longitude 141:Longitude 67:Geomatics 5466:ZIP Code 5444:Eircodes 5440:(Brazil) 5406:(Canada) 5386:Regional 5287:Geodesic 5194:(Canada) 4889:Archived 4729:(ETRS89) 4721:See also 4694:′ 4680:′ 4666:′ 4655:′ 4645:′ 4631:′ 4617:′ 4606:′ 4512:′ 4494:′ 4483:′ 4459:′ 4307:′ 4291:′ 4031:′ 4015:′ 3859:′ 3749:′ 3628:′ 3524:′ 2885:′ 2859:′ 2802:′ 2726:′ 2700:′ 2643:′ 2569:′ 2543:′ 2468:′ 2442:′ 2268:′ 2190:′ 930:6378.137 845:CN Tower 812:CN Tower 681:Svalbard 654:meridian 616:UTM zone 492:spheroid 476:altitude 464:latitude 320:ISO 6709 218:(Europe) 216:Galileo 202:(Russia) 200:GLONASS 137:Latitude 126:Geodesic 84:Concepts 5550:Geodesy 5457:(India) 5332:Mapcode 5311:Geohash 5260:numeric 5255:alpha-3 5250:alpha-2 5198:UN M.49 5004:Bibcode 4763:MapCode 968:298.257 894:within 871: m 860: m 658:equator 597:Flemish 521:History 498:of the 450:) is a 380:Geo URI 350:NAVD 88 260:NGVD 29 234:(Japan) 226:(India) 210:(China) 72:History 57:Geodesy 34:Geodesy 5321:GEOREF 5298:Global 5022:  3295:where 1200:0.9996 903:WGS 84 862:east, 814:is at 677:Norway 556:, the 554:Hawaii 547:Clarke 370:GCJ-02 360:ETRS89 340:WGS 84 330:NAD 83 310:GRS 80 270:OSGB36 224:NAVIC 105:radius 5020:S2CID 4994:arXiv 4916:(PDF) 4892:(PDF) 4881:(PDF) 1167:10000 650:scale 567:datum 460:Earth 300:SAD69 280:SK-42 95:Geoid 5412:(UK) 5357:QDGC 5200:(UN) 5177:(EU) 5175:NUTS 4971:help 4684:tanh 4635:tanh 4467:sinh 4281:sinh 4021:cosh 3928:sinh 3824:cosh 3697:sinh 3593:cosh 2866:cosh 2707:sinh 2550:sinh 2449:cosh 2276:tanh 2097:tanh 2032:tanh 2020:sinh 1245:km. 1212:and 1055:and 901:The 737:−500 731:The 639:84°N 635:80°S 545:the 525:The 466:and 442:The 290:ED50 107:and 5438:CEP 5367:UTM 5012:doi 4946:doi 4670:tan 4621:tan 4580:tan 4443:cos 4414:tan 4297:cos 4259:tan 4209:183 4111:sin 4005:sin 3983:sin 3903:sin 3799:cos 3672:cos 3568:sin 3245:tan 3183:tan 3129:tan 3060:cos 2993:tan 2840:sin 2681:cos 2524:sin 2423:cos 2298:sin 2223:cos 2198:tan 2144:sin 2052:sin 1780:480 1590:240 1233:500 976:563 972:223 946:of 916:of 869:438 866:833 858:084 856:630 804:000 801:100 794:000 791:000 784:000 781:000 774:000 771:300 761:000 759:834 754:000 752:166 746:000 744:400 739:000 448:UTM 5536:: 5063:59 5046:60 5044:, 5018:. 5010:. 5002:. 4990:85 4988:. 4962:: 4960:}} 4956:{{ 4918:. 4883:. 4835:^ 4821:. 4785:. 3383:, 1995:, 1956:15 1953:56 1777:17 1738:15 1715:48 1673:96 1670:37 1587:61 1525:48 1522:13 1483:16 1371:64 789:10 779:10 660:. 486:, 5129:e 5122:t 5115:v 5026:. 5014:: 5006:: 4996:: 4973:) 4969:( 4952:. 4948:: 4929:. 4901:. 4849:. 4789:. 4705:. 4701:) 4610:+ 4596:( 4587:1 4572:i 4567:m 4562:e 4557:H 4553:= 4527:, 4516:2 4504:+ 4498:2 4471:2 4463:+ 4447:2 4435:} 4429:2 4424:) 4408:n 4405:+ 4402:1 4397:n 4391:1 4384:( 4379:+ 4376:1 4372:{ 4364:a 4360:A 4355:0 4351:k 4344:= 4341:k 4318:, 4314:) 4275:( 4266:1 4255:+ 4250:0 4242:= 4196:6 4188:e 4183:n 4178:o 4173:Z 4169:= 4164:0 4136:, 4132:) 4125:j 4122:2 4118:( 4106:j 4096:3 4091:1 4088:= 4085:j 4077:+ 4071:= 4042:. 4038:) 3999:( 3990:1 3979:= 3953:, 3949:) 3942:j 3939:2 3935:( 3924:) 3917:j 3914:2 3910:( 3898:j 3890:j 3887:2 3882:3 3877:1 3874:= 3871:j 3863:= 3849:, 3845:) 3838:j 3835:2 3831:( 3820:) 3813:j 3810:2 3806:( 3794:j 3786:j 3783:2 3778:3 3773:1 3770:= 3767:j 3756:1 3753:= 3722:, 3718:) 3711:j 3708:2 3704:( 3693:) 3686:j 3683:2 3679:( 3667:j 3657:3 3652:1 3649:= 3646:j 3632:= 3618:, 3614:) 3607:j 3604:2 3600:( 3589:) 3582:j 3579:2 3575:( 3563:j 3553:3 3548:1 3545:= 3542:j 3528:= 3497:, 3491:A 3486:0 3482:k 3474:0 3470:E 3463:E 3457:= 3448:, 3442:A 3437:0 3433:k 3425:0 3421:N 3414:N 3408:= 3387:) 3385:λ 3381:φ 3343:k 3323:N 3303:E 3280:. 3276:) 3270:) 3265:0 3251:( 3242:t 3229:2 3225:t 3221:+ 3218:1 3208:) 3203:0 3189:( 3180:t 3174:+ 3167:2 3163:t 3159:+ 3156:1 3145:( 3136:1 3125:= 3099:, 3091:) 3086:0 3072:( 3064:2 3056:+ 3051:2 3047:t 3039:2 3031:+ 3026:2 3014:} 3008:2 3003:) 2987:n 2984:+ 2981:1 2976:n 2970:1 2963:( 2958:+ 2955:1 2951:{ 2943:a 2939:A 2934:0 2930:k 2923:= 2920:k 2897:, 2893:) 2889:) 2878:j 2875:2 2872:( 2863:) 2852:j 2849:2 2846:( 2835:j 2825:3 2820:1 2817:= 2814:j 2806:+ 2794:( 2790:A 2785:0 2781:k 2777:+ 2772:0 2768:N 2764:= 2761:N 2738:, 2734:) 2730:) 2719:j 2716:2 2713:( 2704:) 2693:j 2690:2 2687:( 2676:j 2666:3 2661:1 2658:= 2655:j 2647:+ 2635:( 2631:A 2626:0 2622:k 2618:+ 2613:0 2609:E 2605:= 2602:E 2576:. 2573:) 2562:j 2559:2 2556:( 2547:) 2536:j 2533:2 2530:( 2519:j 2511:j 2508:2 2503:3 2498:1 2495:= 2492:j 2484:= 2475:, 2472:) 2461:j 2458:2 2455:( 2446:) 2435:j 2432:2 2429:( 2418:j 2410:j 2407:2 2402:3 2397:1 2394:= 2391:j 2383:+ 2380:1 2377:= 2351:, 2347:) 2339:2 2335:t 2331:+ 2328:1 2323:) 2318:0 2304:( 2292:( 2283:1 2272:= 2258:, 2254:) 2248:) 2243:0 2229:( 2219:t 2214:( 2205:1 2194:= 2163:, 2159:) 2154:) 2138:n 2135:+ 2132:1 2125:n 2120:2 2113:( 2104:1 2090:n 2087:+ 2084:1 2077:n 2072:2 2062:) 2048:( 2039:1 2027:( 2017:= 2014:t 1997:λ 1993:φ 1971:. 1966:3 1962:n 1948:= 1939:3 1929:, 1924:3 1920:n 1914:5 1911:8 1901:2 1897:n 1891:3 1888:7 1883:= 1874:2 1864:, 1859:3 1855:n 1851:2 1843:2 1839:n 1833:3 1830:2 1822:n 1819:2 1816:= 1807:1 1795:, 1790:3 1786:n 1772:= 1763:3 1753:, 1748:3 1744:n 1735:1 1730:+ 1725:2 1721:n 1712:1 1707:= 1698:2 1688:, 1683:3 1679:n 1665:+ 1660:2 1656:n 1650:3 1647:2 1639:n 1634:2 1631:1 1626:= 1617:1 1605:, 1600:3 1596:n 1582:= 1573:3 1563:, 1558:3 1554:n 1548:5 1545:3 1535:2 1531:n 1517:= 1508:2 1498:, 1493:3 1489:n 1480:5 1475:+ 1470:2 1466:n 1460:3 1457:2 1449:n 1444:2 1441:1 1436:= 1427:1 1387:, 1383:) 1376:+ 1366:4 1362:n 1356:+ 1351:4 1346:2 1342:n 1336:+ 1333:1 1329:( 1322:n 1319:+ 1316:1 1312:a 1307:= 1300:A 1295:, 1289:f 1283:2 1279:f 1274:= 1267:n 1230:= 1225:0 1221:E 1197:= 1192:0 1188:k 1164:= 1159:0 1155:N 1131:0 1128:= 1123:0 1119:N 1093:0 1041:k 965:= 962:f 958:/ 954:1 927:= 924:a 864:4 847:) 799:1 769:9 488:y 484:x 446:( 431:e 424:t 417:v 111:) 103:( 20:)

Index

Universal transverse Mercator
Geodesy

Geodesy
Geodynamics
Geomatics
History
Geographical distance
Geoid
Figure of the Earth
radius
circumference
Geodetic coordinates
Geodetic datum
Geodesic
Horizontal position representation
Latitude
Longitude
Map projection
Reference ellipsoid
Satellite geodesy
Spatial reference system
Spatial relations
Vertical positions
Global Nav. Sat. Systems (GNSSs)
Global Pos. System (GPS)
GLONASS (Russia)
BeiDou (BDS) (China)
Galileo (Europe)
NAVIC (India)

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