﻿﻿ Shortest Distance Between Two Points On A Sphere - davidorlic.com

The shortest path between two points on the surface of a sphere is an arc of a great circle great circle distance or orthodrome. On the Earth, meridians and the equator are great circles. Between any two points on a sphere that are not directly opposite each other, there is a unique great circle. The two points separate the great circle into. Finding the shortest distance between two points on the sphere is not a simple calculation given their latitude and longitude. As proved below, the shortest path on the sphere is always a great circle, which is the intersection of the sphere with a plane through the origin.

2017-12-24 · Given latitude and longitude in degrees find the distance between two points on the earth. The great circle distance or the orthodromic distance is the shortest distance between two points on a sphere or the surface of Earth. In order to use this method, we need to have the co-ordinates of point A. For great circles on the sphere and geodesics on the ellipsoid, the distance is the shortest surface distance between two points. For rhumb lines, the distance is measured along the rhumb line passing through the two points, which is not, in general, the shortest surface distance between them. Tilt your head as necessary to consider the first point the North Pole and the second point to lie somewhere on the Prime Meridian. A great circle path between the two will be the one which just plods straightforwardly south along the Prime Meridi.

The shortest path between two points on the surface of a sphere is an arc of a great circle great circle distance or orthodrome. On the Earth, meridians and the equator are great circles. Between any two points on a sphere that are not directly opposite each other, there is a unique great circle. 'on' or 'between' ? To me 'on' implies a great circle path across the surface. But tbat would be the same for a solid or a hollow sphere. 'between' implied by the hollowness, suggests one can take a straight line directly between the points 'throu. Distance on a Sphere In the last module, you learned how to compute the distance between two points in the plane and between two points in three dimensional space. Planar distance is a good approximation for points on the earth that are relatively close together, but as the points get farther apart the approximation breaks down.

2008-09-16 · The great-circle distance is the shortest distance between any two points on the surface of a sphere measured along a path on the surface of the sphere as opposed to going through the sphere's interior. Because spherical geometry is rather different from ordinary Euclidean geometry, the equations for distance take on a different form. The great-circle distance or orthodromic distance is the shortest distance between any two points on the surface of a sphere measured along a path on the surface of the sphere as opposed to going through the sphere's interior. I guess you want to find the shortest distance along the surface of the sphere, not just the euclidean distance between the points. The shortest path between two points on a sphere is always located on a great circle, which is thus a "great arc".