English: Transpolar geodesic on a triaxial ellipsoid, case A. Vital statistics: a:b:c = 1.01:1:0.8, β₁ = 90°, ω₁ = 39.9°, α₁ = 180°, s₁₂/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 surface of the ellipsoid; the solution is carried out in Cartesian coordinates. See also