Bicylindrical coordinates
From Encyclopedia of Mathematics
The numbers and
related to the rectangular Cartesian coordinates
and
by the formulas
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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:
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The Laplace operator is:
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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