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    PROJECTIONS, COORDINATE SYSTEMS, ANDDATUMS - EXPLAINED

    Ohio Geospatial Technology Conference for Agricultureand Natural Resource Applications

    March 26, 2003

    David Conner

    National Geodetic Survey

    Geodetic Advisor to the State of [email protected] (614) 292-1619

    www.ngs.noaa.gov

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    The geodetic layer is the key to a GIS

    Strong GIS/LIS

    and engineeringsystems require

    well determined

    coordinatesystems and

    accurate spatial

    references

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    The Shape of the Earth Earth is not flat

    Earth is not a sphere An ellipsoid is a simplified model of

    Earths shape A datum is a set of reference locations,

    including elevations, describing more

    precisely the surface of the Earth

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    Earth Models & Datums

    Ellipsoid Geoid relationship

    Hh

    Ellipsoid

    GRS80

    H = Orthometric Height (NAVD 88)

    Geoid

    H = h - N

    TOPOGRAPHIC SURFACE

    h = Ellipsoidal Height (NAD 83)

    N = Geoid Height (GEOID 99)

    NSea Level

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    Common Ellipsoids and Datums

    NAD27(North American Datum of 1927): A systemderived from land-based surveys, using the Clarke(1886) ellipsoid.

    NAD83: A satellite-based system using the center ofthe earth as a reference point using measurementstaken in 1980, and adopted internationally as GRS80(geodetic reference system 1980).

    WGS84 (World Geodetic System 1984): A refinement

    of GRS80 used by the US military (and therefore byGPS).

    For most geographic purposes, NAD83, GRS80, and

    WGS84 are equivalent.

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    Projection types

    Projections convert spherical coordinates (latitude-longitude) to planar coordinates.

    Three fundamental types of projections: Azimuthal: projection onto a planar surface

    Cylindrical: projection onto a cylinder, which is then

    unrolled to a plane. Conic: projection onto a cone, which can be unrolled to

    a plane.

    All projections create distortions of either shape,area, distance, or more than one of these.

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    Three common coordinate

    systems used in GIS Geographic (Lat-Long)

    UTM (Universal Transverse Mercator) State Plane Coordinate System (SPCS)

    SPCS Projection is either Transverse Mercator (cylindrical) orLambert (conic)

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    UTM

    Worldwide system with units in meters

    In northern hemisphere, Y-coordinate (northing) is

    distance in meters from the Equator.

    X-coordinate (easting) is distance in meters east from

    a central meridian for a zone (negative values west ofthe central meridian).

    Consists of 60 zones, each 6 degrees wide.

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    State Plane Coordinates (SPCS)

    Specific system for each state

    Some states divided into multiple zones

    with different grid systems for each zone.

    Ohio has two zones: north and south

    Most property maps (plat maps; tax maps),zoning maps, etc. are in State Plane

    Coordinates.

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    State Plane Coordinates - Units

    NAD 27 - Coordinates in U.S. Survey Feet

    NAD 83 - Coordinates Metric w/State Defined Foot Conversion

    1 Meter = 3.280833333 U.S. Survey Feet

    1 Meter = 3.280839895 International Feet

    Difference is ~ 1:500,000U.S. Survey foot in Ohio

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    STATE PLANE NORTH

    STATE PLANE SOUTH

    UTMZONE 16

    UTMZONE 17

    80818283848542

    41

    40

    39

    38

    0

    0

    10 20 30 miles

    10 20 30 40 kilometers

    N

    LATITUDE-LONGITUDE GRID, UTM ZONE BOUNDARY, ANDSTATE PLANE COORDINATE SYSTEM ZONE BOUNDARY

    STATE OF OHIO DEPARTMENT OF NATURAL RESOURCES DIVISION OF GEOLOGICAL SURVEYBob Taft, Governor Samuel W. Speck, Director Thomas M. Berg, Chief

    WILLIAMS FULTON LUCAS

    OTTAWA

    WOOD

    HENRY

    DEFIANCE

    HARDIN

    HANCOCK

    AUGLAIZE

    ALLEN

    PUTNAM

    MERCER

    VAN WERT

    PAULDING

    HOLMES

    ERIESANDUSKY

    SENECAHURON

    LORAIN

    MEDINA

    WAYNEASHLANDRICHLANDCRAWFORD

    MORROW

    WYANDOT

    MARION

    CARROLL

    STARK COLUMBIANA

    MAHONING

    TRUMBULL

    PORTAGE

    SUMMIT

    GEAUGA

    ASHTABULA

    LAKE

    CUYAHOGA

    UNION

    DELAWARE

    KNOX

    COSHOCTON

    TUSCARAWAS

    HARRISON

    JEFFERSON

    FAYETTE

    PICKAWAY

    FRANKLINMADISON

    CLARK

    MONTGOMERYPREBLE

    CHAMPAIGN

    MIAMI

    LOGAN

    SHELBY

    DARKE

    BROWN

    HIGHLAND

    GREENE

    CLINTONWARREN

    CLERMONTHAMILTON

    BUTLER

    BELMONTGUERNSEY

    NOBLE

    MONROE

    MUSKINGUM

    MORGAN

    WASHINGTON

    LICKING

    PERRYFAIRFIELD

    HOCKING

    ATHENS

    MEIGS

    VINTON

    JACKSON

    GALLIA

    LAWRENCE

    ROSS

    PIKE

    ADAMS

    SCIOTO

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    GEOGRAPHIC POSITION (LatGEOGRAPHIC POSITION (Lat--Long)Long)

    Variation Between Datums: NAD27Variation Between Datums: NAD27

    vsvs

    NAD83NAD83

    1927 North American DatumTo place on the predicted North American Datum 1983move the projection lines 4 meters south and

    6 meters west as shown by dashed corner ticks.

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    NAD 27 and NAD 83Two Horizontal Datums

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    NAD 27 to NAD 83 (1986) Position and Coordinate Shifts

    Geodetic vs State Plane

    CLARK 1928

    Geodetic Position

    Latitude Longitude

    NAD 27 40 03 09.89400 82 58 35.2650NAD 83 (1986) 40 03 10.12158 82 58 34.92303Difference -0.22758 -0.34197

    North 23.06 ft East 25.17 ft

    Overall position shift of 34.14 ft NE

    State Plane Coordinates

    Northing (Y) Easting (X)NAD 27 748,005.80 ft 1,866,612.19 ftNAD 83 (1986) 748,034.32 ft 1,835,142.41 ft

    Difference + 37.52 ft - 31,469.78 ft

    Overall shift is 6 miles East

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    NGVD 29 and NAVD 88NGVD 29 and NAVD 88

    Two VerticalTwo Vertical DatumsDatums

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    Datum Transformation Software

    Federally produced datum transformation software is

    available free of charge from NOAAs National Geodetic

    Survey.

    http://www.ngs.noaa.gov/TOOLS/

    NADCON NAD 83 vs NAD 27

    VERTCON NAVD 88 vs NGVD 29

    HTDP between a wide variety of reference frames

    UTMS UTM vs lat/long

    SPCS83 State Plane 83 vs lat/long

    GPPCGP State Plane 27 vs lat/long

    NATIONAL OCEAN SERVICE

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    METADATA

    METADATA IS DATA ABOUT DATA

    DATUMS Horizontal including adjustment tagNAD 27, NAD 83(1986), NAD83 (199X), NGVD29, NAVD88

    Geoid Model for GPS derived orthometric heights

    GEOID96, GEOID99UNITS

    Meters, U.S. Survey Feet, International Feet

    ACCURACY

    A, B, 1st, 2nd, 3rd

    or 10 m, 1 m, 0.1 m, 3cm, 1cm

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    http://www.ngs.noaa.gov/cgi-bin/datasheet.prl

    National Geodetic Survey, Retrieval Date = MARCH 21, 2003KZ1585 ***********************************************************************KZ1585 DESIGNATION - SHANNAHANKZ1585 PID - KZ1585KZ1585 STATE/COUNTY- OH/DELAWAREKZ1585 USGS QUAD - POWELL (1988)KZ1585KZ1585 *CURRENT SURVEY CONTROLKZ1585 ___________________________________________________________________KZ1585* NAD 83(1995)- 40 09 24.94135(N) 083 00 26.03461(W) ADJUSTED

    KZ1585* NAVD 88 - 296.307 (meters) 972.13 (feet) ADJUSTEDKZ1585 ___________________________________________________________________KZ1585 X - 594,316.727 (meters) COMPKZ1585 Y - -4,845,377.251 (meters) COMPKZ1585 Z - 4,091,487.584 (meters) COMPKZ1585 LAPLACE CORR- -3.19 (seconds) DEFLEC99KZ1585 ELLIP HEIGHT- 262.49 (meters) (04/01/98) GPS OBSKZ1585 GEOID HEIGHT- -33.85 (meters) GEOID99

    KZ1585KZ1585 HORZ ORDER - FIRSTKZ1585 VERT ORDER - FIRST CLASS IKZ1585 ELLP ORDER - FOURTH CLASS I. . . . .KZ1585KZ1585; North East Units Scale Converg.KZ1585;SPC OH N - 54,568.670 556,782.294 MT 1.00006442 -0 19 59.6

    KZ1585;SPC OH S - 239,579.155 556,783.904 MT 1.00002679 -0 19 18.7KZ1585;UTM 17 - 4,447,106.432 329,050.199 MT 0.99995976 -1 17 41.1KZ1585KZ1585 SUPERSEDED SURVEY CONTROLKZ1585KZ1585 NAD 83(1986)- 40 09 24.94900(N) 083 00 26.04100(W) AD( ) 1KZ1585 NAD 27 - 40 09 24.72300(N) 083 00 26.37800(W) AD( ) 1KZ1585 NGVD 29 - 296.464 (m) 972.65 (f) ADJ UNCH 1 1

    KZ1585KZ1585.See file *dsdata.txt to determine how the superseded data were derived.

    *dsdata.txt = Metadata for all datasheet information

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    Good Geographical Information Systems

    begin with good coordinates

    GEOGRAPHY WITHOUT GEODESY IS A FELONY

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    Adjustment tags

    NAD83 has been readjusted periodically

    with most states having 2 or 3adjustments with a final nationaladjustment planned in 2005.

    Each time this happens a small number of

    points are held fixed at the best valuesavailable at the time

    In general each readjustment will result in

    new coordinates for all points in theeffected area.

    2005 Nationwide adjustment

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    PLANE COORDINATE SYSTEMS

    STATE PLANE AND UNIVERSIAL TRANSVERSE

    MERCATOR GRID COORDINATES ARE A DIRECT

    MATHEMATICAL CONVERSION FROM LATITUDE

    AND LONGITUDE TO A CARTESIAN NORTHINGAND EASTING (Y & X) COORDINATE SYSTEM,

    AND MUST MAINTAIN THE SAME DATUM TAG

    [e.g. NAD 83(1993)] AS THE LATITUDE ANDLONGITUDE

    NATIONAL OCEAN SERVICE

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    STATE PLANE COORDINATE SYSTEMS

    NOAA Manual NOS NGS - 5 State Plane Coordinate System of 1983

    Lambert Conformal Conic and Transverse Mercator Projections

    International, State and County Boundaries

    Zones Approximately 158 miles wide

    NAD 27 - Coordinates in U.S. Survey Feet

    NAD 83 - Coordinates Metric w/State Defined Foot Conversion

    1 Meter = 3.280833333 U.S. Survey Feet

    1 Meter = 3.280839895 International Feet

    U.S. Survey foot in Ohio

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    Datums for GIS spatial references

    All geodetic data has a datum and adjustment tagassociated with it

    Ex: NAD83 (1995)

    NAD83 (1986) SPC OH N