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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.
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 ...
The fourth chart is what the third chart looks like when departing from the equator. On the equator there are more symmetries since sections at 90° and 270° azimuths are also geodesics. Consequently the fourth chart shows only 7 distinct lines out of the 24 with 15 degree spacing.
Print/export Download as PDF ... move to sidebar hide. From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Geodesics on an ellipsoid#Triaxial ellipsoid ...
English: Four geodesics connecting two points on an oblate ellipsoid. Vital statistics: f = 1/10, φ 1 = −30°, λ 1 = 0°, α 1 = [165.126870°, 25.907443°, 71.515418°, −84.636539°], φ 2 = 26°, λ 2 = 175°, orthographic projection from φ = 15°, λ = 130°. Geodesics computed with Matlab Central package 50605. See also