Calculating Minimum Distance Between Two Co-ordinates on Earth

  • Context: Undergrad 
  • Thread starter Thread starter lbass
  • Start date Start date
  • Tags Tags
    Earth Minimum
Click For Summary
SUMMARY

The minimum distance between two geographical coordinates on Earth can be calculated using the concept of great circles. The formula involves determining the central angle θ between the two points, which can be derived from their latitude and longitude. The distance is then calculated using the formula: distance = R * θ, where R is the Earth's radius and θ is in radians. For calculations in degrees, the formula adjusts to distance = R * θ * (π/180).

PREREQUISITES
  • Understanding of spherical geometry
  • Familiarity with latitude and longitude coordinates
  • Knowledge of radians and degrees conversion
  • Basic trigonometry
NEXT STEPS
  • Research the Haversine formula for calculating distances between two points on a sphere
  • Learn about spherical law of cosines for distance calculations
  • Explore geospatial libraries such as Geopy for Python
  • Study the implications of Earth's radius variations in distance calculations
USEFUL FOR

Geographers, cartographers, software developers working with geolocation data, and anyone interested in calculating distances on Earth's surface.

lbass
Messages
1
Reaction score
0
Could somebody please please explain how to work out the minimum distance between two co-ordinates on the earth, eg hobart(43 S,147 E) to Beijing (39 N, 117 E). Apparently there is a method incorporating great circles which finds min distant. If anyone knows the formula and could give me a quick explanation, would be much appreciated.
Cheers
 
Physics news on Phys.org
Yes, the shortest distance between two points on the surface of a sphere is along a "great circle" which is a circle having the center of the sphere as its center. The length of an arc of radius R and subtending central angle \theta, in radians, is R/theta. If \theta is in degrees that is R\theta (\pi/180). Here R is the radius of the Earth and you will need to work out the angle \theta from the latitude and longitude.
 

Similar threads

Replies
1
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
0
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K