Prolate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system Definition · Alternative scale factors · Bibliography

A system of curvilinear coordinates in which two sets of coordinate surfaces are obtained by revolving the curves of the elliptic cylindrical coordinates ...

A system of Curvilinear Coordinates in which two sets of coordinate surfaces are obtained by revolving the curves of the Elliptic Cylindrical Coordinates.

3 мар. 2000 г. · Prolates spheroidal coordinates µ, ν, φ are orthogonal coordinates well suited to certain problems. The φ co- ordinate is identical to the φ ...

The wave equation transformed to prolate spheroidal coordinates ( ξ , η , φ ) , admits solutions where w 1 , w 2 , w 3 satisfy the differential equations.

Prolate spheroidal coordinates define a coordinate system that results from rotating an ellipse about the axis on which the foci are located.

Definition of prolate spheroidal coordinates ξ , η , and ϕ . Values for the radial coordinate ξ = const. are surfaces of confocal ellipsoids of revolution ...

In mathematics, prolate spheroidal wave functions are eigenfunctions of the Laplacian in prolate spheroidal coordinates, adapted to boundary conditions on ...

Equation (1.2) represents a prolate spheroid in Cartesian coordinates. Accordingly, the surface of S is matched with the surface of the supporting spheroid µ = ...

Prolate Spheroid Equation As you know, a prolate spheroid with scales 𝑎 = 𝑎0 > (𝑐0 = 𝑏0) is obtained from the whole rotation of an ellipse with semi-major ...