Difference between revisions of "GPS accuracy"

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==Basic Calculation:==
 
==Basic Calculation:==
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===3 decimal places===
 
===3 decimal places===
  
*'''E-W accuracy:''' (10^-3) * 282268.8 ft = 282.2 ft
+
*'''E-W accuracy:''' (10^-2) * 282268.8 ft = 282.2 ft
*'''N-S accuracy:''' (10^-3) * 364320 ft =  364.3 ft
+
*'''N-S accuracy:''' (10^-2) * 364320 ft =  364.3 ft
  
 
This means you can get within a circle of radius 180.8 feet of your target coordinates.
 
This means you can get within a circle of radius 180.8 feet of your target coordinates.
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===More sensitive receivers===
 
===More sensitive receivers===
  
<math>10 ^ -2</math>
+
{| class="wikitable"
 +
|-
 +
! # Decimal Points
 +
! Radius (Ft)
 +
! Radius (m)
 +
|-
 +
| 2
 +
| 1809 feet
 +
| 551 m
 +
|-
 +
| 3
 +
| 180.9 feet
 +
| 55.1 m
 +
|-
 +
| 4
 +
| 18.9 feet
 +
| 5.51 m
 +
|-
 +
| 5
 +
| 1.809 feet
 +
| 55.1 cm
 +
|-
 +
| 6
 +
| 0.1809 Ft (2.17")
 +
| 0.55 m (5.51 cm)
 +
|}

Revision as of 16:53, 4 June 2008

Basic Calculation:

  • E-W accuracy = (10^-2) * Width of graticule in feet
  • N-S accuracy = (10^-2) * "Height" of graticule in feet

This means you can get within a circle of radius Sqrt(AccuracyEW * AccuracyNS / pi) feet of your target coordinates.

Example Error Calculation

For a "normally-sized graticule" (taking the Cincinnati Graticule, 39 -84, as our example), a GPS receiver of the following accuracy results in possible errors of:

Cincinnati Graticule's size :

  • E-W (across the 39.5 latitude line): 53.46 miles * 5280 ft/mi = 282268.8 ft
  • N-S: 69 miles * 5280 ft/mi = 364320 ft

3 decimal places

  • E-W accuracy: (10^-2) * 282268.8 ft = 282.2 ft
  • N-S accuracy: (10^-2) * 364320 ft = 364.3 ft

This means you can get within a circle of radius 180.8 feet of your target coordinates.

More sensitive receivers

# Decimal Points Radius (Ft) Radius (m)
2 1809 feet 551 m
3 180.9 feet 55.1 m
4 18.9 feet 5.51 m
5 1.809 feet 55.1 cm
6 0.1809 Ft (2.17") 0.55 m (5.51 cm)