GeoMapSuite
Geodesy & Datums

Great-Circle Distance (Orthodrome)

Direct Definition: Great-circle distance is the shortest path between two points on the surface of a perfect sphere, formed by the intersection of the spherical surface with a plane passing through the center of the sphere.

Technical Details & Mathematical Formulation

Calculated using the Haversine formula or the spherical law of cosines. While computationally simpler than ellipsoidal geodesics, assuming a spherical Earth induces errors of up to 0.5% (up to 20 kilometers on intercontinental arcs) because the Earth is flattened at the poles by 21.385 km.

Mathematical Formula:d = 2 R \arcsin \left( \sqrt{ \sin^2(\Delta\phi/2) + \cos \phi_1 \cos \phi_2 \sin^2(\Delta\lambda/2) } \right)
Interactive CalculatorDistance Between Places Tool

Test real-world coordinates and calculate live results in browser.

Open Tool

Related Geodetic Concepts

Geodesic Distance →Rhumb Line →
Frequently Asked Questions

People Also Ask About Great-Circle Distance (Orthodrome)

Answers to key questions, technical definitions, and practical geodetic applications.

QWhat does the term "Great-Circle Distance (Orthodrome)" mean?

Great-circle distance is the shortest path between two points on the surface of a perfect sphere, formed by the intersection of the spherical surface with a plane passing through the center of the sphere.

QWhat is the mathematical or technical basis of Great-Circle Distance (Orthodrome)?

Calculated using the Haversine formula or the spherical law of cosines. While computationally simpler than ellipsoidal geodesics, assuming a spherical Earth induces errors of up to 0.5% (up to 20 kilometers on intercontinental arcs) because the Earth is flattened at the poles by 21.385 km.

QHow do professionals use Great-Circle Distance (Orthodrome) in GIS and surveying?

Cartographers, geospatial software engineers, and navigators utilize Great-Circle Distance (Orthodrome) to guarantee mathematical precision and consistent spatial reference frames across global datasets.

QWhich category of geodesy does Great-Circle Distance (Orthodrome) belong to?

This concept is cataloged under the "Geodesy & Datums" domain in the GeoMap Suite cartographic knowledge index.

QCan I test or calculate Great-Circle Distance (Orthodrome) on GeoMap Suite?

Yes. You can test live coordinates and see practical examples using our companion Distance Between Places Tool tool.

QWhat are key concepts related to Great-Circle Distance (Orthodrome)?

Directly related terms include Geodesic Distance, Rhumb Line.