Destination Point Calculator (Direct Geodesic)
Calculate the destination latitude and longitude given a starting coordinate, initial bearing angle, and distance.
The Destination Point Calculator solves the direct forward geodesic problem on the WGS84 ellipsoid: given a starting latitude/longitude coordinate, an initial compass bearing (azimuth), and a travel distance, it calculates the exact destination coordinates and arrival bearing.
Destination Point Technical Specifications & Standards
WGS84 (EPSG:4326)
Standard global ellipsoidal coordinate reference system
Karney Geodesics
< 15 nm error
GeoJSON · KML · CSV · SVG
Compatible with QGIS, ArcGIS, Google Earth & CAD
100% Client-Side
Calculations run in-browser. Zero coordinate logging.
How to Use the Destination Point Calculator (Direct Geodesic)
Follow this step-by-step procedure to execute precise spatial measurements and export results.
- 1Enter starting coordinates: Type or click a starting point on the map.
- 2Specify initial bearing: Enter a compass azimuth in degrees (0° to 360°).
- 3Specify travel distance: Enter distance in miles, kilometers, nautical miles, or meters.
- 4Inspect destination coordinates: Read the resulting destination point in DD, DMS, and UTM.
Geodesic Precision vs. Competitor Mapping Approaches
Most legacy mapping utilities (such as CalcMaps and FreeMapTools) rely on planar Web Mercator projections or spherical approximations, causing significant mathematical distortion at higher latitudes. GeoMap Suite computes exact ellipsoidal geodesics on the WGS84 reference ellipsoid.
| Calculation Model | Mathematical Basis | Distortion on WGS84 | Standard Tools | Practical Application |
|---|---|---|---|---|
| Planar (Web Mercator) | Cartesian dx² + dy² | 10% to 200%+ error | CalcMaps / Simple map tools | Distorts drastically away from equator. Inaccurate for true distance. |
| Spherical Great-Circle | Haversine (R = 6,371 km) | Up to 0.5% (~5 km/1,000 km) | Basic Google Maps wrappers | Ignores Earth's polar flattening. Reasonable for rough estimates. |
| GeoMap Suite Ellipsoidal | Karney Direct/Inverse WGS84 | < 15 nanometers (<0.0001%) | GeoMap Suite | Geodetic surveying, maritime, flight paths & legal boundary analysis. |
Worked Example: Navigating 500 Nautical Miles on Bearing 045°
A vessel departs Cape Hatteras (35.2532° N, 75.5208° W) on bearing 045.0° for 500 NM.
Input Parameters
- Start Point
- 35.2532° N, 75.5208° W
- Bearing
- 45.00°
- Distance
- 500.0 NM (926.0 km)
Computed Outputs
- Destination Point
- 40.8123° N, 67.9284° W
- Final Bearing
- 49.32°
Step-by-Step Mathematical Process
- Direct geodesic evaluation on WGS84 ellipsoid at s12 = 926,000 m and α1 = 45.0°.
- Compute arrival coordinate: 40.8123° N, 67.9284° W.
- Calculate final arrival bearing: α2 = 49.32°.
Understanding Your Results & Practical Interpretation
Forward Geodesic Solutions
The direct geodesic problem solves the differential equations of geodesics on the ellipsoid without approximations.
Practical Applications & Real-World Use Cases
Dead Reckoning & Radial Waypoint Projection
Project waypoints for search-and-rescue radar grids.
Mathematical Methodology & Geodetic Accuracy
Karney Direct Geodesic Algorithm
Evaluates direct geodesic differential equations on the WGS84 ellipsoid.
(lat2, lon2, α2) = Geodesic.WGS84.Direct(lat1, lon1, α1, distanceMeters)Limitations & Boundary Conditions
- •Does not account for terrain topography.
Authoritative Reference Standards
Troubleshooting & Geographic Edge Cases
Why did the bearing change at the destination?
Lines of longitude converge toward the poles, so following a great circle geodesic path causes the compass heading to drift.
Frequently Asked Questions
The direct geodesic problem solves for the unknown destination coordinates (latitude, longitude) and final arrival heading given a known starting coordinate, initial azimuth (compass direction), and geodesic travel distance.