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- Oblate_spheroidal_coordinates abstract "Oblate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the ellipse, i.e., the symmetry axis that separates the foci. Thus, the two foci are transformed into a ring of radius in the x-y plane. (Rotation about the other axis produces prolate spheroidal coordinates.) Oblate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two largest semi-axes are equal in length.Oblate spheroidal coordinates are often useful in solving partial differential equations when the boundary conditions are defined on an oblate spheroid or a hyperboloid of revolution. For example, they played an important role in the calculation of the Perrin friction factors, which contributed to the awarding of the 1926 Nobel Prize in Physics to Jean Baptiste Perrin. These friction factors determine the rotational diffusion of molecules, which affects the feasibility of many techniques such as protein NMR and from which the hydrodynamic volume and shape of molecules can be inferred. Oblate spheroidal coordinates are also useful in problems of electromagnetism (e.g., dielectric constant of charged oblate molecules), acoustics (e.g., scattering of sound through a circular hole), fluid dynamics (e.g., the flow of water through a firehose nozzle) and the diffusion of materials and heat (e.g., cooling of a red-hot coin in a water bath)".
- Oblate_spheroidal_coordinates thumbnail Oblate_spheroidal_coordinates_half_hyperboloid.png?width=300.
- Oblate_spheroidal_coordinates wikiPageExternalLink OblateSpheroidalCoordinates.html.
- Oblate_spheroidal_coordinates wikiPageID "5007562".
- Oblate_spheroidal_coordinates wikiPageRevisionID "570951304".
- Oblate_spheroidal_coordinates hasPhotoCollection Oblate_spheroidal_coordinates.
- Oblate_spheroidal_coordinates subject Category:Coordinate_systems.
- Oblate_spheroidal_coordinates type Abstraction100002137.
- Oblate_spheroidal_coordinates type Arrangement105726596.
- Oblate_spheroidal_coordinates type Cognition100023271.
- Oblate_spheroidal_coordinates type CoordinateSystem105728024.
- Oblate_spheroidal_coordinates type CoordinateSystems.
- Oblate_spheroidal_coordinates type PsychologicalFeature100023100.
- Oblate_spheroidal_coordinates type Structure105726345.
- Oblate_spheroidal_coordinates comment "Oblate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the ellipse, i.e., the symmetry axis that separates the foci. Thus, the two foci are transformed into a ring of radius in the x-y plane.".
- Oblate_spheroidal_coordinates label "Oblate spheroidal coordinates".
- Oblate_spheroidal_coordinates label "扁球面坐標系".
- Oblate_spheroidal_coordinates sameAs m.0czkp1.
- Oblate_spheroidal_coordinates sameAs Q11075615.
- Oblate_spheroidal_coordinates sameAs Q11075615.
- Oblate_spheroidal_coordinates sameAs Oblate_spheroidal_coordinates.
- Oblate_spheroidal_coordinates wasDerivedFrom Oblate_spheroidal_coordinates?oldid=570951304.
- Oblate_spheroidal_coordinates depiction Oblate_spheroidal_coordinates_half_hyperboloid.png.
- Oblate_spheroidal_coordinates isPrimaryTopicOf Oblate_spheroidal_coordinates.
