geo-distance Verified Precision Tool
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 EllipsoidPoint 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 Formula4. Variable Substitution:
R = 6,371 km5. 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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