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Page Last Updated on 02/26/10 |
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Learn About GPS Technology Here! * All coordinates posted on
this page and any other page within my site, use the “NAD83/WGS84” Datum no
matter what grid system was used (Lat. & Long., UTM, MGRS, etc.).
What
is GPS?
Two Methods Used By DGPS To Increase Position Calculations
Latitude & Longitude
Anything to the right (east) of the Prime Meridian
increases in number and is followed by an E for east.
*The coordinates above are for the Ganaga Falls (100’+) located in Ricketts Glenn State Park off Rt.118.
Ex1. 41°26'38" N 76°40'43" W
in Degrees, Minutes & Seconds The above coordinates are for "High Knob Vista," which is absolutely amazing and gigantic. This vista looks out over 7 counties in PA. I would recommend anyone to see this vista and on the way up stop and check out Dry Run waterfalls off the road.
Ex1. 41°25'49.1" N 76°40'14.0" W
in Degrees, Minutes & Seconds The above coordinates are for “Dry Run Waterfalls Parking Area” located off Dry Run Road, which is accessible off Rt.87. The Dry Run Waterfalls are a very pretty waterfall that is at least 20' high.
Universal Transverse Mercator (UTM)
Ex. 18T 295718mE 4621044mN18T represents the zone 295718mE represents the Easting Value & 4621044mN represents the Northing Value The above example is coordinates in UTM format for "Owassee Rapids" on the Pine Creek. This rapids is a Class II rapid on a 6 scale system. Notice how NG TOPO combines the zone letter & splits the easting & northing values. Also note how the numbers are all the same size.
Ex. 18 T 363327 4591410 The above example is coordinates in UTM format for “Split Rock” on the Loyalsock Trail. This landmark is a cool rock that split over time creating crevasses between the rock. Notice how the GPS splits the zone, the zone letter, easting value & northing value. But does not tell you which is which. So you must have some knowledge of UTM to interpret this coordinate.
How Do I Measure or Calculate Coordinate Distance Using UTM?It’s quite simple actually. If you remember each UTM grid line is divided by 1000 meters, with this in mind, it’s real simple to figure out a waypoint coordinates. Ex. Someone has told you that there is a really cool vista near Blackwell off the MST known as the “Materhorn.” They show you its general location on the map, but neither of you know its coordinates and you would like to plot it on your map & in your GPS. To figure this out, take your UTM legend that shows the map scale and measure from one of the main UTM easting lines, either 302000m.E. or 303000m.E.. If you use 302000m.E., then you add those meters to the last three 0’s. If you use 303000m.E., then you subtract those meters to the last three 0’s and vice versa for the northing lines.
Easting line: 302000m.E. + 129 (measured meters) =
302129m.E. (Easting value)
Military Grid Reference
System (MGRS)
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Converting UTM Easting & Northing Numbers to MGRS
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Maidenhead Grid
This grid system was
developed and operated by amateur radio operators. It divides the world into
rectangular grids each 20o of longitude and 10o of latitude for a total of 18
grids wide (A-R) running east to west and 15 grids high (D-R) running south
to north. Each grid is identified by two letters and are further subdivided
by 2o by 1o and labeled with two numbers (00-99). This grid system
subdivides one more time; each sub-area is 5’ of longitude by 2.5’ of
latitude and is labeled with the letters AA-XX.
EX. EM18BX
FYI: Grid letters above and to the right of the letter “J” are located in the northern hemisphere and in the eastern hemisphere.
The map below would contain UTM marks from: 4584 – 4597 for northing (south to north) & 291 – 301 for eastings. |
Northern
Corners: 41o30’00”
N. 77o30’00”
W. 41o30’00” N. 77o22’30” W.
UTM by 1000m intervals
& Latitude & Longitude
(Large Files! 3.5MB)
| Note: |
When using
the National Geographic TOPO! software set the grid markings to: - 450 seconds to see each USGS Quad Map on the screen when using latitude & longitude - 150 seconds to see each 2.5’ quadrant when using latitude & longitude |
| Degrees, Minutes & Seconds: The map is divided by tick marks every 30" for both latitude & longitude. | |
| Degrees & Decimal Minutes: The map is divided by tick marks every 500' for both latitude & longitude. | |
| Decimal Degrees: The map is divided by
tick marks every .00833o for both latitude & longitude. |
| Eastings: The map is divided by tick marks every 805 meters (.5miles). | |
| Northings: The map is divided by tick marks every 805 meters (.5 miles). |
Working with and Converting Degrees, Minutes, Seconds & Mils
Degrees, Minutes, Seconds & Mils
Navigation begins with a point and everything around that point. So the circle is a very important part of navigation. The circle in navigation is subdivided into degrees, minutes, seconds and mils.
All of our navigation systems, formats and datums are based on this circle design.
The most common subdivision is the degree (o). There are 360o in a circle; 0 is the start, a 1/4th of a circle is 90o, 180o to a ½, 270o to 3/4th and so on.
When working with degrees, in the case of adding & subtracting the values, it starts at 0o - 359o.
The degree’s subdivision is the minute, expressed by a tick mark (‘). There are 60’ to one degree (o).
The minute’s subdivision is the second, expressed by two tick marks (“). There are 60” to one minute (‘)
When working with minutes & seconds, in the case of adding & subtracting the values, it starts at 0 – 59.
Various Examples Listed Below:
Working with Minutes & Seconds:
37” + 21” = 59” (almost one minute)
45” – 15” = 30” (half a minute)
46” + 33” = 73” = 1’ 13” (one minute & 13 seconds)
1’ 07” + 49” = 1” 56” (one minute & 56 seconds)
5’ 45” – 2’ 15” = 3’ 30” (three minutes & 30 seconds)
Working with Degrees, Minutes & Seconds:
270o 15’ 45” + 10o 7’ 23” = 280o 23’ 08”
165o 23’ 17” – 42o 12’ 48” = 123o 11’ 31”
Converting Decimal Degrees to Degrees & Decimal Minutes
76.257o = 76o (.257 x 60’) = 15.42’ (remember 60 degrees to 1 degree)
Answer: 76o 15.42’
320.926o = 320o (.926 x 60’) = 55.56’
Answer: 320o 55.56’
* If you want to convert these values the opposite way, just divide 60, instead of multiplying
Converting Decimal Degrees to Degrees, Minutes & Seconds
Using the same examples above we can further break down the decimal minutes to seconds.
76.257o = 76o (.257 x 60’) = 15.42’ (remember 60 seconds to 1 minute)
= 76o 15.42’ (.42 x 60) = 25.2” exactly or rounded to 25”
Answer: 76o 15’ 25”
320.926o = 320o (.926 x 60’) = 55.56’
= 320o 55.56’ (.56 x 60) = 33.6” exactly or rounded to 34”
Answer: 320o 55’ 34”
* If you want to convert these values the opposite way, just divide 60, instead of multiplying
How to Find the Opposite Direction
Simply add or subtract 180o to your bearing.
74o 32’ 45” = 74o (+ 180o) = 254o
Answer: 254o 32’ 45”
315o 45’ 30” = 315o (- 180o) = 135o
Answer: 135o 45’ 30”
What is a Mil & How Does It Relate to Navigation?
A circle can also be subdivided into mils, instead of degrees, minutes & seconds. The cool thing about mils is there is no subdivision of a mil, so there are no silly conversions! A full circle is made up of 6,400 mils and/or 1 mils is one sixty-four hundredths (1/6400) of a circle.
Mils are best related when you know how to convert the two from one to another. Examples below:
1 mil = 360o / 6400 = .05625o
1o = 6400 mils / 360 = 17.778 mils
To Convert Degrees to Mils, Simply Multiply the Number of Degrees by 17.778.
68o = 68o x 17.778 =
Answer: 1208.904 exactly or 1209 mils
* TO convert degrees, minutes & seconds, be sure to convert it to decimal degrees, then multiply by 17.778
To Convert Mils to Degrees, Simply Multiply the Number of Mils by .05625.
4200 mils = 4200 x .05625 =
Answer: 236.25o
North (N) = 0o = 0 mils
East (E) = 90o = 1,600 mils
South (S) = 180o = 3,200 mils
West (W) = 270o = 4,800 mils
Map
Scale Conversions from USGS Scale to Feet & Miles
* Each inch of map represents the numbers below according to the map
scale they were printed in
General USGS Map Scale Conversions
| Scale | Inches | feet p/in. | yards p/in. | miles /in. |
| 1:500 | 500,000 | 41,667 | 13,889 | 7.89 |
| 1:100 | 100,000 | 8,333 | 2,778 | 1.58 |
| 1:24 | 24,000 | 2,000 | 668 | .38 |
| USGS 7.5 min. maps are generally 1:24th scale. |
National Geographic TOPO! Software Scale Conversions
| Scale | Inches | feet p/in. | yards p/in. | miles /in. |
| 1:4,000,000 | 4,000,000 | 333,333 | 111,111 | 63.13 |
| 1:865,000 | 865,000 | 72,083 | 24,028 | 13.65 |
| 1:327,360 | 327,360 | 27,280 | 9,093 | 5.17 |
| 1:50,000 | 50,000 | 4,167 | 1,389 | .79 |
| 1:15,375 | 15,375 | 1,281 | 427 | .24 |
Reading Distance on a Paper Map
Yes, you can
(to a certain extent) do this by knowing the distance between o (degrees), ‘
(minutes), “ (seconds) or UTM’s meters, but the west way is:
| Use the legend to interpret distance along with some sort of straight edge instrument. | |||||||||
| Use a special ruler that is calibrated to read minutes & seconds on a 2.5’ x 2.5’ grid. | |||||||||
| Use the ruler on your compass (make sure the scale on the map & the compass match)! | |||||||||
Draw a finer grid on your map (subdivide
the map into smaller grids).
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Additional Information on Declination & What It Means
You must know
the declination of the area you are in, for example: declination around this
area is roughly 11-12o W. Since we are right of the Magnetic
North line we add the declination difference to our compass to get to a
certain point on a paper map. (Remember East is Least, West is Best!)
Determining Your Declination – Expressed as either East or West Declination according to your present location of the magnetic North Pole.
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If
your present location is right of the magnetic pole line it is
considered West Declination. If your present location
is left of the magnetic pole line it is considered East Declination. * Map courtesy of nationalatlas.com |
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East is Least, West is Best – Which means you subtract east declinations and add west declinations to your calculations depending on which side of the magnetic pole line you stand on. The examples below show how this works.
| Example
#1 Location: Eastern
Pennsylvania |
Example #2 Location: Central
Montana |
* Most all maps will tell you the declination difference somewhere on the legend, the USGS Topo! software maps declination is located in the lower right corner.
Things You May Want To Take On The Trail
| Extra batteries for your GPS receiver | |||||||||||||||||
| Paper maps of the area | |||||||||||||||||
| Compass | |||||||||||||||||
| Watch | |||||||||||||||||
| Altimeter | |||||||||||||||||
| Pedometer | |||||||||||||||||
Travel notebook
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* Always check to maps & GPS to make sure that both are using the same grid system and datum setup. If they are incorrect your calculations could be off by a mile.
2D Operating Mode – In GPS terms, it is a two-dimensional fix on a location that only contains a horizontal fix without elevation. A minimum of 3 satellites is required for this operation mode.
3D Operating Mode – In GPS terms, it is a three-dimensional fix on a location that includes both a horizontal fix and elevation. A minimum of 4 satellites is required for this operating mode.
Almanac Data – Information transmitted by the GPS Satellite telling the receiver its current health & orbital status.
Altimeter – An instrument used to determine elevation.
Altitude/Elevation Profile/ing - Is a cross-section of the trail, route or drawn route that displays the changes in elevation at every point on the trip. This is an invaluable feature provided by topographical software that displays to you how easy or strenuous the hike may be.
Atomic Clock – A very precise clock. Each GPS satellite contains many of these clocks. They are extremely accurate, because of the rubidium & cesium components (one-second error per one million years).
Azimuth – Aka bearing, is the compass position between your present position and your destination. It is mostly expressed in degrees (o), but sometimes can be displayed in mils.
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North = 0o or 360o
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East = 90o
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South = 180o
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West = 270o
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Barometer – An instrument used to determine the pressure in the air. It is calculated by either.
Coarse/Acquisition Code (C/A Code) – The standard code transmitted by GPS Satellite. The information contained within this code is for civilian use and is accurate to within 10 feet. The best reception I ever had in combination with WAAS was 6 feet!
Compass – A navigational instrument used to find direction.
Coordinates – These are numbers and letters that precisely label any and all positions on earth. Every position on earth has a unique coordinate. The displayed coordinate of a position is determines by the grid & datum used.
Coordinated Universal Time (UTC) – This system of time replaced the Greenwich Mean Time (GMT) in 1986 and is now the world standard. This time compensates for the leap year and any changes in the earths rotation.
Data Formats – There are generally three data formats, each format is best suited to a particular grid system.
Declination – Aka Magnetic Declination is the difference between true north & magnetic north in mils or degrees.
Differential GPS (DGPS) – An extension of the GPS system used by WAAS. This system consists of land-based radio beacons located a various locations across the country (east coast, middle & west coast) that transmits corrected GPS position data. DGPS improves GPSr accuracy to within 10 meters, I have experienced an improvement to within 10 feet! DGPS does have the potential to increase positional accuracy to within 1 in or 2 mm! But not without added equipment & substantial costs; not to mention we civilians do not have access to the P-Code.
Easting – Similar to a northing, except is refers to the distance east or west of a fixed reference point, which is the International Dateline. Again you will see this value used in the UTM, MGRS and others.
Elevation – The distance above or below the mean sea level.
Elevation Profile – shows the elevation gain or loss along a trail from a horizontal aspect. This information is very informative when it comes to the amount of time and miles you will hike when planning out a hike or backpacking trip.
Emphemeris Data – Data that is valid for several hours and contains current satellite position and timing information. This data is transmitted by the GPS satellite as part of the satellite data message.
GPS – A satellite system used to navigate. This system enables anyone on Earth who owns a GPS receiver to know where they are at any time, no matter what the weather.
GPSr – This is short for the GPS receiver. The GPSr communicates with the satellites to calculate the fixed or moving location of the individual or object that is equipped with the unit.
Ionosphere – A region of the earth’s atmosphere 50–250 miles wide (50–400 km) and affects GPS radio waves due to the incoming solar radiation.
Local Area Augmentation System (LAAS) – A real-time DGPS correction system with a 20-30 mile radius developed by the U.S. Federal Aviation Administration for landing aircraft at small to medium-sized airports. The LAAS system is extremely accurate to within 1 meter on the horizontal and vertical plane.
L-Band – The radio frequency that carries the L1 & L2 frequency that consists of the all GPS satellite data and operates within the range of 390-1550 Mhz.
Magnetic North – Points to the magnetic North Pole, which is located in northern Canada. All compasses point to the magnetic North Pole, not true north. Most papers are laid out in true (grid) north. (You must know the declination from your location to correctly navigate to your destination.)
Map Datum – All Maps are drawn with respect to a reference point (specific location). This reference point is known as a datum, so therefore datums are used as a basic of calculating and measuring. Since maps generally only cover a portion of the earth in a larger scale, datum's have been created to pinpoint a certain location. The transition from a global view to a paper map view is where a datum comes in. Similar to the grid system, just on a more precise scale, 100’s of map datum's been created by the U.S., and other countries for navigational purposes. The U.S. generally uses the World Geodetic System 1984 (WGS84) or North American Datum 1927 (NAD27).
Map Scale – Maps are scaled out according to a certain measurement. Most maps, especially USGS maps are scaled to 1:500,000, 1:100,000 & 1:24,000. The most popular and most detailed map scale is 1:24,000, which means that for every one inch on the map, it represents 24,000 inches on the ground. Generally the 1:24,000 covers less area on a map (but is more detailed) than the 1:100,000 and so on.
Navigational Message – Information within the GPS satellite signal that contains velocity, time, position.
Navigational Screens – Visual screens or pages that display statistical data about your adventure. Some data on these pages can be changed and some can not.
| Garmin receivers tend to display 5 to 6 main pages or more (which is up to the user). The 6 basic pages are: |
Map Page: displays the map of the area you are in, along with variable data fields.
Compass Page: displays the compass bearing, along with variable data fields.
Trip Computer Page: displays a variety of variable statistical & navigational data used on the expedition.
Satellite Page: displays the satellite locations in the sky, how many your GPSr has locked and the accuracy of the receiver.
Menu Page: displays icons where the user can change preferences and advanced features of the unit.
Altimeter Page: displays altimeter readings or profile & barometric pressure plots, plus more.
Navigational Statistics – Calculated data according to its title. Many GPS receivers are capable of recording or displaying a wide variety of statistical data that you may find useful on your adventure.
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Examples of such data that are seen on the Garmin GPSMAP 60CSx are: Accuracy of GPS, Bearing, Course, Depth, Distance To Destination, Distance To Next, ETA At Destination, ETA To Next, Elevation, Glide Ratio, Glide Ratio To Destination, Heading, Odometer, Off Course, Pointer, Speed, Speed – Maximum, Speed – Moving Average, Speed – Overall Average, Sunrise, Sunset, Time To Destination, Time To Next, Time of Day, To Course, Trip Odometer, Trip Time – Moving, Trip Time – Stopped, Trip Time – Total, Turn, Velocity Made Good, Vertical Speed, Vertical Speed to Destination, Water Speed, Water Temperature, Waypoint At Destination, Waypoint At Next. |
NAVSTAR – The original name of the GPS Satellite System. It stands for NAVigation Satellite Timing & Ranging.
Northing – This refers to the distance north or south of a fixed reference point such as the equator. You will see this value used in the UTM system and some others like the Military Grid Reference System (MGRS).
Precision Code (P Code) – Code typically used by the U.S. military that increases GPS accuracy to within a foot. This code is encrypted and reset weekly to prevent unauthorized use. Also known as the Y-Code.
Pseudo-Random Code – Helps to separate the GPS Signal sent by the satellite and mirrored by the receiver from background noise.
Quadrifilar Helix Antenna – A type of GPS antenna (used in the GPSMAP 60 Series) and others that is more sensitive then a patch antenna and is capable of searching for satellites on a 360o 3D plain. This type of antenna contains four spiraling elements that are contained within a plastic case for protection and durability.
Selective Availability – Intentional random error distributed by the U.S. Government that can be added to GPS signal to degrade accuracy. SA is currently disabled.
Triangulation – Uses the laws of trigonometry to determine the location of an unknown point. An example of its use is in GPSr’s to determine location along with the GPS Satellites.
True North – Is simply the direction to the north pole (very similar to grid north, both are used interchangeably), but the north pole is not magnetic north. The difference between the two is called declination.
The United States Department of Defense (DoD) – Maintains and controls the GPS system along with a variety of other duties.
Units of Measurement Based off Miles In Decimal Format
The charts below depict decimal miles and its equivalents in yards, feet, meters & kilometer.
Basic Conversions
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| Kilometers | Meters | Feet | Yards | Decimal | |||||
| 0.00 | km | 0.00 | m | 0.00 | ft | 0.00 | yds | 0 | mi |
| 0.02 | km | 16.10 | m | 52.80 | ft | 17.60 | yds | 0.01 | mi |
| 0.03 | km | 32.20 | m | 105.60 | ft | 35.20 | yds | 0.02 | mi |
| 0.05 | km | 48.29 | m | 158.40 | ft | 52.80 | yds | 0.03 | mi |
| 0.06 | km | 64.39 | m | 211.20 | ft | 70.40 | yds | 0.04 | mi |
| 0.08 | km | 80.49 | m | 264.00 | ft | 88.00 | yds | 0.05 | mi |
| 0.10 | km | 96.59 | m | 316.80 | ft | 105.60 | yds | 0.06 | mi |
| 0.11 | km | 112.68 | m | 369.60 | ft | 123.20 | yds | 0.07 | mi |
| 0.13 | km | 128.78 | m | 422.40 | ft | 140.80 | yds | 0.08 | mi |
| 0.14 | km | 144.88 | m | 475.20 | ft | 158.40 | yds | 0.09 | mi |
| 0.16 | km | 160.98 | m | 528.00 | ft | 176.00 | yds | 0.1 | mi |
| 0.18 | km | 177.07 | m | 580.80 | ft | 193.60 | yds | 0.11 | mi |
| 0.19 | km | 193.17 | m | 633.60 | ft | 211.20 | yds | 0.12 | mi |
| 0.21 | km | 209.27 | m | 686.40 | ft | 228.80 | yds | 0.13 | mi |
| 0.23 | km | 225.37 | m | 739.20 | ft | 246.40 | yds | 0.14 | mi |
| 0.24 | km | 241.46 | m | 792.00 | ft | 264.00 | yds | 0.15 | mi |
| 0.26 | km | 257.56 | m | 844.80 | ft | 281.60 | yds | 0.16 | mi |
| 0.27 | km | 273.66 | m | 897.60 | ft | 299.20 | yds | 0.17 | mi |
| 0.29 | km | 289.76 | m | 950.40 | ft | 316.80 | |||