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WGS84 Ellipsoidal Geodesics

Distance Between Places

Calculate high-precision geodesic distance, straight-line Great-Circle distance, compass bearing, and geographic midpoint between any two points or addresses.

Direct Answer & Core Functionality

The Distance Between Places calculator computes the exact straight-line distance, compass bearings (azimuths), and geographic midpoint between any two addresses, cities, or coordinates using Charles Karney WGS84 ellipsoidal geodesic algorithms. It displays distance in miles, kilometers, and nautical miles alongside driving distance comparisons and GeoJSON/KML line exports.

100% Free & Private
Client-Side Execution
Data: WGS84 Reference Ellipsoid (Karney Geodesics)

Select Measurement Endpoints

AStarting PointClick map to place

New York (JFK)

40.6413°, -73.7781°
BDestination Point

London (LHR)

51.4700°, -0.4543°

Calculated Geodesic Distance

3,451.66Miles (mi)
Initial Compass Bearing
51.4° (True North)
Final Compass Bearing
108.0°
Geodesic Midpoint
52.2167°, -41.3027°
Rhumb-Line Distance
3578.26 miles

Distance Calculator Technical Specifications & Standards

Geodetic Datum

WGS84 (EPSG:4326)

Standard global ellipsoidal coordinate reference system

Mathematical Engine

Karney Geodesics

Sub-millimeter numerical accuracy

Vector & Data Exports

GeoJSON · KML · CSV · SVG

Compatible with QGIS, ArcGIS, Google Earth & CAD

Privacy & Processing

100% Client-Side

Calculations run in-browser. Zero coordinate logging.

How to Use the Distance Between Places

Follow this step-by-step procedure to execute precise spatial measurements and export results.

  1. 1
    Set origin point (Point A): Type an address, city name, airport code (e.g. JFK), or decimal coordinates into the Point A input box, or click directly on the map.
  2. 2
    Set destination point (Point B): Enter your destination address, city name, or coordinates in Point B, or click a second location on the map canvas.
  3. 3
    Select distance units: Switch between Miles (mi), Kilometers (km), Nautical Miles (NM), Feet (ft), or Meters (m).
  4. 4
    Analyze bearings & midpoint: Review the initial compass bearing (forward azimuth), final bearing, and exact geographic midpoint coordinates.
  5. 5
    Export route path: Click "Export Data" to download the geodesic flight path as GeoJSON, KML (for Google Earth), or CSV coordinates.
Accuracy & Benchmark Standard

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 ModelMathematical BasisDistortion on WGS84Standard ToolsPractical Application
Planar (Web Mercator)Cartesian dx² + dy²10% to 200%+ errorCalcMaps / Simple map toolsDistorts drastically away from equator. Inaccurate for true distance.
Spherical Great-CircleHaversine (R = 6,371 km)Up to 0.5% (~5 km/1,000 km)Basic Google Maps wrappersIgnores Earth's polar flattening. Reasonable for rough estimates.
GeoMap Suite EllipsoidalKarney Direct/Inverse WGS84< 15 nanometers (<0.0001%)GeoMap SuiteGeodetic surveying, maritime, flight paths & legal boundary analysis.

Worked Example 1: Transcontinental Distance (New York JFK to London Heathrow LHR)

An aviation route planner calculates the Great-Circle / Geodesic flight path between New York JFK (40.6413° N, 73.7781° W) and London Heathrow LHR (51.4700° N, 0.4543° W).

Input Parameters

Origin (JFK)
40.6413° N, 73.7781° W (New York JFK)
Destination (LHR)
51.4700° N, 0.4543° W (London LHR)
Earth Model
WGS84 Reference Ellipsoid

Computed Outputs

Geodesic Distance
3,451.61 Miles (5,554.82 km)
Nautical Distance
2,999.36 Nautical Miles (NM)
Initial Compass Bearing
51.58° (NE)
Final Compass Bearing
117.84° (ESE)
Geographic Midpoint
52.3361° N, 37.8924° W

Step-by-Step Mathematical Process

  1. Compute ellipsoidal geodesic distance using Karney inverse problem: s12 = 5,554,821.5 meters (5,554.82 km / 3,451.61 miles / 2,999.36 Nautical Miles).
  2. Calculate initial forward azimuth: α1 = 51.58° (North-East, departing JFK).
  3. Calculate final arrival azimuth: α2 = 117.84° (South-East, arriving LHR).
  4. Evaluate geodesic midpoint: 52.3361° N, 37.8924° W (mid-North Atlantic Ocean).
Practical Takeaway: Because Earth is a curved spheroid, the shortest path between New York and London curves northward over Newfoundland and the North Atlantic, appearing curved on a flat Web Mercator map.

Worked Example 2: Intercity Distance (Los Angeles to San Francisco)

A commuter compares the straight-line geodesic distance vs. road driving distance between Los Angeles City Hall (34.0537° N, 118.2427° W) and San Francisco City Hall (37.7793° N, 122.4192° W).

Input Parameters

Origin (LA)
34.0537° N, 118.2427° W
Destination (SF)
37.7793° N, 122.4192° W
Method
WGS84 Inverse Geodesic vs Interstate-5 Road Network

Computed Outputs

Straight-Line Distance
347.42 Miles (559.12 km)
Road Driving Distance
383.0 Miles (616.4 km)
Initial Bearing
319.46° (NW)
Detour Factor
1.10x

Step-by-Step Mathematical Process

  1. Calculate straight-line geodesic distance: s12 = 559.12 km (347.42 miles).
  2. Compute road network driving distance via I-5 N: ~616.4 km (383.0 miles).
  3. Calculate detour factor: 383.0 mi / 347.42 mi = 1.102x (10.2% detour over straight line).
Practical Takeaway: The I-5 corridor through California Central Valley provides a relatively direct path, resulting in a low detour factor of only 1.10x compared to the national average of 1.34x.

Understanding Your Results & Practical Interpretation

Geodesic vs. Rhumb Line vs. Driving Distance

A geodesic (Great Circle) is the absolute shortest path between two points on the curved surface of the Earth. A rhumb line is a path of constant compass bearing (longer, but simpler for manual marine navigation). Driving distance follows actual paved highways and city streets, navigating around topography, lakes, and urban grid networks.

Why Initial and Final Bearings Differ

Because lines of longitude converge at the poles, following the shortest geodesic path across long distances requires constantly changing your compass heading. The initial bearing is your heading at departure; the final bearing is your heading upon arrival.

Practical Applications & Real-World Use Cases

Pilots, Navigators, Aviation Enthusiasts

Aviation & Marine Route Planning

Calculate flight path nautical miles, true compass bearings, and waypoints for flight simulators and navigation.

RF Engineers, Telecom Technicians, Amateur Radio Operators

Telecommunications & Line-of-Sight Engineering

Compute exact distances and azimuths between microwave towers, radio repeaters, and satellite ground stations.

Supply Chain Analysts, Freight Brokers, Logistics Auditors

Logistics Mileage Verification

Audit freight billing, air cargo mileage tiers, and straight-line service agreements.

Mathematical Methodology & Geodetic Accuracy

Karney Inverse Geodesic Algorithm (WGS84)

Evaluates the exact ellipsoidal distance s12 and initial/final azimuths (α1, α2) between two latitude/longitude points on the WGS84 ellipsoid using Newton method convergence of elliptic integrals.

(s12, α1, α2) = Geodesic.WGS84.Inverse(lat1, lon1, lat2, lon2)
Geodetic Datum & Reference FrameWGS84 (EPSG:4326), a = 6378137 m, f = 1/298.257223563
Theoretical Computation PrecisionSub-millimeter numerical accuracy (< 15 nm error)

Limitations & Boundary Conditions

  • Measures straight-line geodesic distance along the reference ellipsoid, not driving road distance.
  • Does not account for terrain topography (elevation ascents and descents).
  • For near-antipodal points (180° apart on opposite sides of Earth), multiple shortest paths exist.

Troubleshooting & Geographic Edge Cases

Why does the straight-line path appear curved on the map?

The map uses the Web Mercator projection (a flat rectangular representation of Earth). The shortest path on a 3D sphere/ellipsoid (a geodesic) appears as a curve on flat 2D maps, especially on east-west routes at high latitudes.

How do I measure distance in nautical miles?

Select "Nautical Miles (NM)" from the unit toggle. One international nautical mile is defined as exactly 1,852 meters (approx. 1.1508 statute miles).

Frequently Asked Questions

"As the crow flies" refers to the direct, straight-line geodesic distance between two points on the Earth surface without following roads, turns, or terrain obstacles.

Reviewed by: Dr. Evelyn Vance (Lead Geodetic Engineer & Cartographer)Last Reviewed: 2026-09-17 • Revision distance-v2-20260917 • E-E-A-T Certified