CZ
CalcyZone
Geodesy & Distance CalcyZone Calculator

Surveying Traverse Calculator

Calculate closed and open traverse latitude/departure adjustments and linear error of closure.

📍 Select World Location Presets or Custom Coordinates

WGS-84 Ellipsoid
Point 1 Coordinates (Origin)
Point 2 Coordinates (Destination)
Calculated Geodetic Solution
5,570.23 km (3,461.179 miles)
Kilometers5570.23 km
Miles3461.179 miles
Nautical Miles3007.685 NM
🗺️ Interactive Geographic Map & Geodesic Trajectory

Click anywhere on the map or drag pins to update coordinates live.

Map Data: © OpenStreetMap ContributorsWGS-84 Precision Geodesic Curve

Step-by-Step Mathematical Derivation

1. Given Input Coordinates:
  • Origin: (40.7128°, -74.006°)
  • Destination: (51.5074°, -0.1278°)
2. Model & Ellipsoid Reference:WGS-84 / Earth Sphere R = 6,371 km
3. Governing Geodesic Formula:Haversine Great Circle Formula
4. Variable Substitution:R = 6,371 km
5. Interpretation & Practical Application:

Straight line geodesic distance is 5570.23 km.

Mathematical Formula

Precision Ratio = 1 : (Total Perimeter / Misclosure Error)

Overview & Explanation

Evaluates land surveying traverse accuracy and Bowditch compass rule adjustments.

How It Works

  • Computes closure ratio and adjusts coordinate departures.

Practical Applications

  • Property boundary surveying validation.

Worked Example: 1500m traverse with 0.05m misclosure

Calculate precision.

1

Ratio

1500 / 0.05

= 1 : 30,000 Precision Ratio

Frequently Asked Questions

What is a good precision ratio in land surveying?
Standard urban boundary surveys require at least 1:10,000 precision.

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