Bispherical Coordinates
A system of Curvilinear Coordinates defined by
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
The Scale Factors are
 | |  | (4) |
 | |  | (5) |
 | |  | (6) |
The Laplacian is
 | |
 | |
 | |
 | (7) |
In bispherical coordinates, Laplace's Equation is separable, but the Helmholtz Differential Equationis not.
See also Laplace's Equation--Bispherical Coordinates, Toroidal Coordinates
References
Arfken, G. ``Bispherical Coordinates ( Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 665-666, 1953.
, 
, 
).'' §2.14 in Mathematical Methods for Physicists, 2nd ed. Orlando, FL: Academic Press, pp. 115-117, 1970.
- Equichordal Point
- Equichordal Problem
- Equidecomposable
- Equidistance Postulate
- Equidistant Cylindrical Projection
- Equidistributed Sequence
- Equilateral Hyperbola
- Equilateral Triangle
- Equilibrium Point
- Equilic Quadrilateral
- Equinumerous
- Equipollent
- Equipotent
- Equipotential Curve
- Equiproduct Point
- Equireciprocal Point
- Equirectangular Projection
- Equiripple
- Equitangential Curve
- Equivalence Class
- Equivalence Problem
- Equivalence Relation
- Equivalent
- Equivalent Matrix
- Eratosthenes Sieve