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Calcimator

GPS Accuracy Estimator

Estimate GPS/GNSS positional accuracy from satellite geometry (GDOP/PDOP), correction method, and environmental factors.

About this calculator

GPS accuracy is the product of two independent things: how good the satellite geometry is (dilution of precision) and how good the underlying range measurement is (UERE, then whatever correction service refines it). This calculator derives HDOP and VDOP from the single GDOP value you enter (fixed splits of 70% and 85% of PDOP, which is itself 80% of GDOP), then multiplies Receiver UERE by HDOP, the Correction Method's accuracy factor, and the Multipath Environment factor to get horizontal error. Correction Method dominates every other input by a wide margin because its factors span nearly three orders of magnitude — standalone GPS applies a multiplier of 1.0, SBAS/WAAS cuts it to 0.4, differential GPS to 0.15, and RTK to 0.005, so switching from standalone to RTK at the default settings improves horizontal accuracy from about 6.7 meters to about 3 centimeters.

GDOP and Receiver UERE both scale the result directly and linearly — halve either one and horizontal/vertical accuracy both halve with it. Satellites Tracked and Elevation Mask are declared inputs on this page, and both are genuinely meaningful GNSS concepts (more visible satellites and a lower mask generally improve real-world geometry), but this calculator's formulas never read either value — GDOP is the only geometry figure the math actually uses, so changing satellite count or mask angle here does not move any output. Enter a GDOP that already reflects your real satellite geometry rather than expecting this tool to derive one from satellite count.

Inputs

ft
°

Results

Horizontal Accuracy (95%)

6.72 m

≈ 4 adult heights

Vertical Accuracy (95%)

8.16 m

≈ 5 adult heights

Horizontal (feet)22.05 ft
Vertical (feet)26.77 ft
3D Position Accuracy10.57 m
HDOP1.12
VDOP1.36
Geometry QualityExcellent
Correction MethodStandalone GPS
Suitable ForRecreation / navigation
How to Use This Calculator
  1. Enter the GDOP Value (geometric dilution of precision) and the Receiver UERE (user equivalent range error) for your equipment — both scale accuracy linearly.
  2. Select the Correction Method — Standalone GPS, SBAS/WAAS, Differential GPS, or RTK — this is the single biggest driver of the result, spanning roughly a 200x accuracy range.
  3. Choose the Multipath Environment — Low, Moderate, or Heavy — to reflect obstructions at your survey site.
  4. Satellites Tracked and Elevation Mask are recorded for your notes; this calculator's formulas use GDOP directly and do not recompute geometry from these two fields.
  5. Review Horizontal Accuracy (95%) and Vertical Accuracy (95%), then check Geometry Quality and Suitable For to confirm the setup meets your required precision.

How the result changes with GDOP Value

GDOP ValueHorizontal Accuracy (95%)Vertical Accuracy (95%)
13.36 m4.08 m
1.55.04 m6.12 m
310.08 m12.24 m
516.8 m20.4 m

What each input means

GDOP Value
Geometric Dilution of Precision. Lower = better geometry. Ideal < 2, good < 5.
Receiver UERE
User Equivalent Range Error — base accuracy of the receiver before DOP. Typical GPS: 3-5 m.
Satellites Tracked
Number of satellites visible. Minimum 4 for 3D fix. More satellites generally means better geometry.
Correction Method
Type of differential correction applied. RTK provides centimeter-level accuracy.
Elevation Mask
Minimum satellite elevation angle. Higher masks reduce multipath but may reduce satellite count.
Multipath Environment
Level of signal reflection from nearby surfaces (buildings, trees, terrain).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    GDOP Value = 2, Receiver UERE = 3, Satellites Tracked = 8, Correction Method = 1 = 6 input(s) provided
  2. Calculate Horizontal Accuracy
    Horizontal Accuracy
    6.72 = 6.72
  3. Calculate Vertical Accuracy
    Vertical Accuracy
    8.16 = 8.16
  4. Calculate Horizontal
    Horizontal
    22.048 = 22.048
  5. Calculate Vertical
    Vertical
    26.773 = 26.773

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does Correction Method change the result so much more than anything else?

Its accuracy multiplier spans nearly three orders of magnitude — 1.0 for standalone GPS, 0.4 for SBAS/WAAS, 0.15 for differential GPS, and 0.005 for RTK — while GDOP and Receiver UERE only scale the result linearly. At the default GDOP and UERE, switching from standalone to RTK takes horizontal accuracy from about 6.7 meters to about 3 centimeters.

Do Satellites Tracked and Elevation Mask affect the accuracy estimate?

No, not in this calculator. Both are real GNSS concepts that genuinely affect geometry in the field, but the formulas here compute HDOP and VDOP directly from the GDOP value you enter, not from satellite count or mask angle. Changing either field leaves every accuracy output unchanged — enter a GDOP that already reflects your real satellite geometry.

How are HDOP and VDOP derived from GDOP?

The calculator applies fixed splits: PDOP is 80% of GDOP, HDOP is 70% of that PDOP, and VDOP is 85% of it. At the default GDOP of 2.0, that works out to PDOP 1.6, HDOP 1.12, and VDOP 1.36 — a simplification of the real geometric relationship between these dilution-of-precision terms, not a recomputation from raw satellite positions.

What does the 95% in Horizontal Accuracy (95%) mean?

It's the radius within which your true position falls 95% of the time, computed here as 2 DRMS (twice the distance root-mean-square error) — a common convention for GPS accuracy specifications. A reading of 6.7 meters means 95% of position fixes should land within 6.7 meters of the true location, not that every fix will.

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