Bicylindrical coordinates
From Encyclopedia of Mathematics
The numbers 
and 
related to the rectangular Cartesian coordinates 
and 
by the formulas
 |
where 
. The coordinate surfaces are: the family of pairs of circular cylinders with parallel axes (
), the family of circular cylinders orthogonal to the former (
), and the planes (
). The system of bicylindrical coordinates is obtained as the result of translation of the system of bipolar coordinates in the 
-plane parallel to the 
-axis.
The Lamé coefficients (cf. Lamé coefficients) are:
 |
The Laplace operator is:
 |
How to Cite This Entry:
Bicylindrical coordinates. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bicylindrical_coordinates&oldid=16217
Bicylindrical coordinates. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bicylindrical_coordinates&oldid=16217
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article