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English: Transpolar geodesic on a triaxial ellipsoid, case A. Vital statistics: a:b:c = 1.01:1:0.8, β 1 = 90°, ω 1 = 39.9°, α 1 = 180°, s 12 /b ∈ [−232.7, 232.7], orthographic projection from φ = 40°, λ = 30°. The geodesic is found by solving the ordinary differential equations for the free motion of a particle constrained to the ...
English: Circumpolar geodesic on a triaxial ellipsoid, case B. Vital statistics: a:b:c = 1.01:1:0.8, β 1 = 87.48°, ω 1 = 0°, α 1 = 90°, s 12 /b ∈ [−491.6, 491.6], orthographic projection from φ = 40°, λ = 30°. The geodesic is found by solving the ordinary differential equations for the free motion of a particle constrained to the ...
English: Transpolar geodesic on a triaxial ellipsoid, case B. Vital statistics: a:b:c = 1.01:1:0.8, β 1 = 90°, ω 1 = 9.966°, α 1 = 180°, s 12 /b ∈ [−508.8, 508.8], orthographic projection from φ = 40°, λ = 30°. The geodesic is found by solving the ordinary differential equations for the free motion of a particle constrained to the ...
English: Circumpolar geodesic on a triaxial ellipsoid, case A. Vital statistics: a:b:c = 1.01:1:0.8, β 1 = 45.1°, ω 1 = 0°, α 1 = 90°, s 12 /b ∈ [−321.9, 321.9], orthographic projection from φ = 40°, λ = 30°. The geodesic is found by solving the ordinary differential equations for the free motion of a particle constrained to the ...
The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth is well approximated by an oblate ellipsoid, a slightly flattened sphere. A geodesic is the shortest path between two points on a curved surface, analogous to a straight line on a plane surface.
Printable version; In other projects ... From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Geodesics on an ellipsoid#Triaxial ellipsoid coordinate ...
English: A geodesic on an ellipsoid of revolution. N is the north pole. A is a point at latitude φ 1; B is the point at latitude φ 2 which is λ 12 east of A. AB is the geodesic from A to B. E is the point at which the geodesic crosses the equator, EFH, in the northward direction.
English: Unstable umbilical geodesic on a triaxial ellipsoid. Vital statistics: a:b:c = 1.01:1:0.8, β 1 = 90°, ω 1 = 0°, α 1 = 135° (i.e., normal to the plane y = 0), s 12 /b ∈ [−142.6, 142.6], orthographic projection from φ = 40°, λ = 30°. The geodesic is found by solving the ordinary differential equations for the free motion of ...