2021•Unpublished venueRequires access

Bicylindrical Coordinates

John Lekner

Abstract

Bicylindrical coordinates are defined and related to Cartesian coordinates. We consider geometries where two parallel cylinders are external to each other, where one is inside the other, and also when they overlap. Useful sums and integrals in bicylindrical coordinates are derived. Solutions of Laplace's equation are given, also in degenerate bicylindrical coordinates (touching cylinders).

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Bipolar coordinates, Orthogonal coordinates, Log-polar coordinates, Action-angle coordinates, Cartesian coordinate system, Generalized coordinates, Prolate spheroidal coordinates, Parabolic coordinates