geo-distance Verified Precision Tool

Destination Point Calculator

Calculate destination coordinates given a starting point, initial compass bearing, and travel distance.

📍 Select World Location Presets or Custom Coordinates

WGS-84 Ellipsoid

Origin Location Preset

Destination Location Preset

Point 1 Coordinates (Origin)

Latitude (°N/S)

Longitude (°E/W)

Travel Vector Parameters

Compass Bearing (°)

Travel Distance (km)

Calculated Geodetic Solution

Lat: 41.345636°, Lng: -73.15895°

Destination Latitude41.345636°

Destination Longitude-73.15895°

🗺️ 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:

Start Point: (40.7128°, -74.006°)
Bearing: 45°
Distance: 100 km

2. Model & Ellipsoid Reference:WGS-84 / Earth Sphere R = 6,371 km

3. Governing Geodesic Formula:φ2 = asin(sin(φ1)cos(d/R) + cos(φ1)sin(d/R)cos(θ))

4. Variable Substitution:R = 6,371 km

5. Interpretation & Practical Application:

Traveling 100 km at bearing 45° arrives at coordinates (41.345636°, -73.15895°).

Mathematical Formula

lat2 = asin(sin(lat1)cos(d/R) + cos(lat1)sin(d/R)cos(θ))

Overview & Explanation

Performs spherical dead reckoning to project new coordinates along a given vector.

How It Works

Projects distance along great circle at initial azimuth.

Practical Applications

Flight vectoring.
Search and rescue radial search.
Drone pathing.

Worked Example: 100km at 45° NE from NY

Project destination coordinates.

Project Vector

100 km at 45°

= 41.3484° N, 73.1611° W

Frequently Asked Questions

Can bearing be negative?

Bearings should be specified from 0° to 360° (0° = North, 90° = East, 180° = South, 270° = West).

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