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In geodesy, a map projection of the triaxial ellipsoid maps Earth or some other astronomical body modeled as a triaxial ellipsoid to the plane. Such a model is called the reference ellipsoid. In most cases, reference ellipsoids are spheroids, and sometimes spheres. Massive objects have sufficient gravity to overcome their own rigidity and ...
On a triaxial ellipsoid, there are only three simple closed geodesics, the three principal sections of the ellipsoid given by X = 0, Y = 0, and Z = 0. [7] To survey the other geodesics, it is convenient to consider geodesics that intersect the middle principal section, Y = 0 , at right angles.
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 ...
Triaxial ellipsoidal coordinates. Add languages. Add links. Article; ... Geodesics on an ellipsoid#Triaxial ellipsoid coordinate system; Retrieved from "https: ...
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 ...
3.3 Geodesics on a triaxial ellipsoid. 3.4 Map projections. 3.5 Applications. 3.6 Lead. 3.7 More of recent articles. 3.8 Response. 3.9 NGS and the inverse problem.
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: 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