File:Transpolar geodesic on a triaxial ellipsoid case A.svg
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Summary
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
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<a href="//commons.wikimedia.org/wiki/File:Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg" class="image"><img alt="Circumpolar geodesic on a triaxial ellipsoid case A.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg/100px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg/150px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg/200px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg.png 2x" data-file-width="512" data-file-height="469"></a>
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<a href="//commons.wikimedia.org/wiki/File:Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg" class="image"><img alt="Circumpolar geodesic on a triaxial ellipsoid case B.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/100px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/150px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/200px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 2x" data-file-width="512" data-file-height="469"></a>
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<a href="//commons.wikimedia.org/wiki/File:Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg" class="image"><img alt="Transpolar geodesic on a triaxial ellipsoid case B.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/100px-Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/150px-Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/200px-Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 2x" data-file-width="512" data-file-height="469"></a>
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<a href="//commons.wikimedia.org/wiki/File:Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg" class="image"><img alt="Unstable umbilical geodesic on a triaxial ellipsoid.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg/100px-Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg/150px-Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg/200px-Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg.png 2x" data-file-width="512" data-file-height="469"></a>
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:09, 16 January 2017 | | 512 × 469 (155 KB) | 127.0.0.1 (talk) | Transpolar geodesic on a triaxial ellipsoid, case A. Vital statistics: <i>a</i>:<i>b</i>:<i>c</i> = 1.01:1:0.8, β<sub>1</sub> = 90°, ω<sub>1</sub> = 39.9°, α<sub>1</sub> = 180°, <i>s</i><sub>12</sub>/<i>b</i> ∈ [−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 <div class="thumb tright"><div class="thumbinner" style="width:102px;"> <a href="//commons.wikimedia.org/wiki/File:Triaxial_ellipsoid_coordinate_system.svg" class="image"><img alt="Triaxial ellipsoid coordinate system.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Triaxial_ellipsoid_coordinate_system.svg/100px-Triaxial_ellipsoid_coordinate_system.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Triaxial_ellipsoid_coordinate_system.svg/150px-Triaxial_ellipsoid_coordinate_system.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Triaxial_ellipsoid_coordinate_system.svg/200px-Triaxial_ellipsoid_coordinate_system.svg.png 2x" data-file-width="512" data-file-height="469"></a> <div class="thumbcaption"><div class="magnify"><a href="//commons.wikimedia.org/wiki/File:Triaxial_ellipsoid_coordinate_system.svg" class="internal" title="Enlarge"></a></div></div> </div></div> <div class="thumb tright"><div class="thumbinner" style="width:102px;"> <a href="//commons.wikimedia.org/wiki/File:Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg" class="image"><img alt="Circumpolar geodesic on a triaxial ellipsoid case A.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg/100px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg/150px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg/200px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg.png 2x" data-file-width="512" data-file-height="469"></a> <div class="thumbcaption"><div class="magnify"><a href="//commons.wikimedia.org/wiki/File:Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg" class="internal" title="Enlarge"></a></div></div> </div></div> <div class="thumb tright"><div class="thumbinner" style="width:102px;"> <a href="//commons.wikimedia.org/wiki/File:Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg" class="image"><img alt="Circumpolar geodesic on a triaxial ellipsoid case B.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/100px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/150px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/f/f3/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/200px-Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 2x" data-file-width="512" data-file-height="469"></a> <div class="thumbcaption"><div class="magnify"><a href="//commons.wikimedia.org/wiki/File:Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg" class="internal" title="Enlarge"></a></div></div> </div></div> <div class="thumb tright"><div class="thumbinner" style="width:102px;"> <a href="//commons.wikimedia.org/wiki/File:Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg" class="image"><img alt="Transpolar geodesic on a triaxial ellipsoid case B.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/100px-Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/150px-Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg/200px-Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg.png 2x" data-file-width="512" data-file-height="469"></a> <div class="thumbcaption"><div class="magnify"><a href="//commons.wikimedia.org/wiki/File:Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg" class="internal" title="Enlarge"></a></div></div> </div></div> <div class="thumb tright"><div class="thumbinner" style="width:102px;"> <a href="//commons.wikimedia.org/wiki/File:Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg" class="image"><img alt="Unstable umbilical geodesic on a triaxial ellipsoid.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg/100px-Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg.png" width="100" height="92" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg/150px-Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg/200px-Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg.png 2x" data-file-width="512" data-file-height="469"></a> <div class="thumbcaption"><div class="magnify"><a href="//commons.wikimedia.org/wiki/File:Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg" class="internal" title="Enlarge"></a></div></div> </div></div> |
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