Using State Plane Coordinate Systems in Magellan Receivers
(Magellans are unique in that they can display coordinates without "tricks" and accurately display Lambert projections)
- by Jack Yeazel & Paul Hirose (2 May 2003)

  During the 1930s, the U.S. Coast and Geodetic Survey (USC&GS), now NGS developed the State Plane Coordinate System which have been very popular at the local level. Many users find State Plan coordinates more adaptable than UTMs because the zone boundaries fall along political lines (e.g., State and County) as opposed to geometric lines.  In addition, State Plane scale distortions are generally smaller, allowing more accurate distance computations when scale factor adjustments are omitted.  Standards for The State Plane Coordinate System of 1983 can be found at: http://www.ngs.noaa.gov/PUBS_LIB/ManualNOSNGS5.pdf (3.6 MB)
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The following procedure allows Magellan M-3xx, SporTrak, Meridian, and eXplorist series receiver GPS  User Grids to display State Plane meter and survey feet coordinates directly:

 State Plane point-of-origin data is difficult to find and takes considerable searching of the internet!   However, Peter H. Dana, Ph. D., Department of Geography - University of Texas at Austin,  pointed me to http://gpsinformation.net/mapinfow.prj -which has comma-separated-values data for all the State Planes in the US.  About 20% of this file was used to create a spread sheet: http://gpsinformation.net/mapinfow-e.xls.   For a summary of the spread sheet, see this TEXT.

NOTE: This Excel file is needed to obtain the data to enter into the GPS unit; however, it requires that you know which zone and whether the data you need is in the NAD-27 or NAD-83 datum beforehand.  State Plane zones can be determined from: http://home.comcast.net/~rickking04/gis/spc.htm

 For Data Supplied in Meters

Example from the Georgia data:
                          Georgia West Zone 1002 (Includes Atlanta)
                                Latitude of Origin = 30° 00' 00"
                      Longitude of Origin and Central Meridian = 84° 10' 00"
                                         Datum = NAD-83
                                          Scale = 0.9999
                            False Easting at Origin = 700,000 meters
                            False Northing at Origin = 0 meters

            Settings for the Magellan User Grid using the new NAD-83 SPCS :
NOTE: Magellans will read out grid coordinates in the form: "123-45-678E" -which would be 12,345,678E

To set up the NAD83 Georgia West zone in a Magellan, go to:
SETUP then MAP DATUM and enter NAD83
Exit SETUP, then enter and save waypoint 34° 50'N 85° 30'W
(A corner of the state was picked to get well away from the origin and bring out any errors.)

Enter SETUP, COORD SYSTEM, PRIMARY, USER GRID and enter the parameters:
PROJECTION: TRANS MERC
LATITUDE OF ORIGIN: 30.00000N
LONGITUDE OF ORIGIN: 84.16667W
SCALE FACTOR: 0.99990000
UNITS TO METERS CONV.: 1.00000000
FALSE EAST AT ORIGIN: 700000.0 (meters)
FALSE NORTH AT ORIGIN: 0.0

  The program CORPSCON by the U.S. Army Corps of Engineers will allow you to transform  easily between NAD 27 and NAD 83 in any of the coordinate values you would like to use (e.g., State Plane, UTM or Lat/Long).  This  public domain software will perform conversions for individual points, and is available from: http://crunch.tec.army.mil/software/corpscon/corpscon.html     Another conversion site is Earth Point.
  Now convert lat/lon 34° 50'N 85° 30'W to state plane.   Compare Magellan and National Geodetic Survey online converter results:

                  east        north
Magellan        578045   m   536747   m
NGS program     578044.5 m   536746.7 m

  It's true the Magellans won't allow a negative number for false northing (as needed by the Garmins), but one isn't needed. That's just a kluge necessary to compensate for their limited user grids. (There's one exception we'll mention later.)

  Also, the Magellans will display/accept coordinates in meters, survey feet, international feet, cubits, whatever unit you want. Just enter the appropriate UNITS TO METERS CONV. factor in the user grid setup (and also enter easting and northing in the same units).
  They can even do the oblique Mercator grid of Alaska Zone 1, and with consistent accuracy, as confirmed using NGS software. However, inability to set a negative false northing is a factor here, as -5 million meters is required. The workaround is to ignore the spurious leading 5 on northing when reading coordinates, and insert one when inputting. There is no other state plane zones (NAD27 or NAD83) with negative false northings, so this is a minor problem.

For Data Supplied in Survey Feet

   IMPORTANT NOTE: The "Foot" specified for NAD 27 and NAD-83 are what are commonly called "U.S. Survey Foot," which is related to the meter by 1 m = 3.280833333333.... ft. This is important, as you will often find the conversion listed in many sources as 1 m = 3.280839895 ft, which is referred to as the International Foot, adopted by the U.S. Bureau of Standards in 1959. Ignorance of these differences can easily distort your conversions by 10-15 ft!

   In the case of the Magellan's User Grid Coordinate System,  the UNITS TO METERS CONV. must be in survey-feet/meter -or 0.30480061.  The last third of  http://gpsinformation.net/mapinfow-e.xls supplies points of origin in Survey Feet for NAD-83.  Thus copying from that part of the table, the Magellans can read coordinates in Survey Feet by altering the above procedure as follows:

Example from the Georgia data:
                          Georgia West Zone 1002 (Includes Atlanta)
                                Latitude of Origin = 30° 00' 00"
                      Longitude of Origin and Central Meridian = 84° 10' 00"
                                         Datum = NAD-83
                                          Scale = 0.9999
                            False Easting at Origin = 2,296,583 feet
                            False Northing at Origin = 0 feet

            Settings for the Magellan User Grid using the new NAD-83 SPCS :
NOTE: Magellans will read out grid coordinates in the form: "123-45-678E" -which would be 12,345,678E

To set up the NAD83 Georgia West zone in a Magellan, go to:
SETUP then MAP DATUM and enter NAD83

Enter SETUP, COORD SYSTEM, PRIMARY, USER GRID and enter the parameters:
PROJECTION: TRANS MERC
LATITUDE OF ORIGIN: 30.00000N
LONGITUDE OF ORIGIN: 84.16667W
SCALE FACTOR: 0.99990000
UNITS TO METERS CONV.: 0.30480061 (survey-feet/meter)
FALSE EAST AT ORIGIN: 2296583 (survey feet)
FALSE NORTH AT ORIGIN: 0.0

             Example of Lambert Conformal Conic State Plane Parameters

NOTE: About half the SPCS zones  in the US use Lambert Projections. Magellan handles them easily.

                 Tennessee Zone 4100, NAD-83 (LCC Projection)
                                 Latitude of Origin = 34° 20' 00" N
                       Longitude of Origin and Central Meridian = 86° 00' 00" W
                               North Standard Parallel = 36° 25' 00" N
                               South Standard Parallel = 35° 15' 00" N
                                 False Easting at Origin = 600,000 meters
                                  False Northing at Origin = 0 meters

 Older TN State Plane Parameters (Note significant differences)

                          Tennessee Zone 4100, NAD-27 (LCC Projection)
                                 Latitude of Origin = 34° 40' 00" N
                       Longitude of Origin and Central Meridian = 86° 00' 00" W
                               North Standard Parallel = 36° 25' 00" N
                               South Standard Parallel = 35° 15' 00" N
                                False Easting at Origin = 2,000,000 survey feet
                                False Northing at Origin = 100,000 survey feet

Settings for Magellan User Grid involving the NAD-27 LCC projection and display in survey feet:

To set up the NAD27 Tennessee Zone in a Magellan, go to:
SETUP then MAP DATUM and enter NAD27
SETUP, COORD SYSTEM, PRIMARY, USER GRID and enter the parameters:

PROJECTION: LAMBERT CON (conformal conic)
2 STANDARD PAR (Parallels)
LATITUDE OF ORIGIN: 34.66667N
LONGITUDE OF ORIGIN: 86.00000W
PARALLEL 1: (This is the northern parallel) 36.41667N
PARALLEL 2: (This is the southern parallel) 35.25000N
SCALE FACTOR: 1.00000000
UNITS TO METERS CONV: 0.30480061  (survey-feet/meter)
FALSE EAST AT ORIGIN: 2,000,000 (survey feet)
FALSE NORTH AT ORIGIN: 100,000 (survey feet)

  The program CORPSCON by the U.S. Army Corps of Engineers will allow you to transform  easily between NAD 27 and NAD 83 in any of the coordinate values you would like to use (e.g., State Plane, UTM or Lat/Long).  This  public domain software will perform conversions for individual points, and is available from: http://crunch.tec.army.mil/software/corpscon/corpscon.html

Using CORPSCON on a test point located at 36° 00'N, 83° 45'W (the NE corner of a DRG map for verification):

                  east        north
Magellan       2,665,503'    592,970'
NGS program    2,665,502.7'  592,971.8'

       Addendum: Instructions to handle the 'one-of-a-kind', Alaska Zone 1

In SETUP, do COORD SYSTEM, PRIMARY, LAT/LON, DEG/MIN (either one).
Still in SETUP, do MAP DATUM, PRIMARY, NAD83.
Exit SETUP, then enter and save waypoint 59 30' N 139 40' W.

Return to SETUP, do COORD SYSTEM, PRIMARY, USER GRID.
PROJECTION: OBLQ MERC
POINT AZ. (this toggles between POINT AZ. and TWO POINT)
LATITUDE OF CENTRAL PNT.: 57.0000N
LONGITUDE OF CENTRAL PNT.: 133.66667W
AZIMUTH OF CENTRAL LINE: 323.13010 (360° less -36.86989765°)
SCALE FACTOR: .99990000
UNITS TO METERS CONV.: 1.00000000
FALSE EAST AT ORIGIN: 05000000.0 (meters)
FALSE NORTH AT ORIGIN: 00000000.0

Read back the waypoint. The Magellan values vs. NGS software:

               east         north
Magellan     479251   m   5868655   m
NGS program  479251.1 m    868655.1 m

 To get a better understanding of some of the geodetic principles involved, see "Geodesy for the Layman"     http://www.ngs.noaa.gov/PUBS_LIB/GeoLay.pdf

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