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Everything about Bispherical coordinates
Three-dimensional orthogonal coordinate system
Bispherical coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about the axis that connects the two foci. Thus, the two foci and in bipolar coordinates remain points in the bispherical coordinate system. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Bispherical coordinatesA 5-minute orientation
- Skim a recent paper: BRINKMAN EQUATION IN BISPHERICAL POLAR COORDINATES AND TOROIDAL COORDINATES: STREAM FUNCTION SOLUTIONInfluential work since 2022
- Pick up a classic book: Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic FieldThe most-reprinted book on the subject
- Read the landmark paper: Solution procedure for the Laplace equation in bispherical coordinates for two spheres in a uniform external field: Parallel orientationCited 53 times
- Go sideways: Elliptic coordinate systemA closely related topic
- Go sideways: Toroidal coordinatesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Solution procedure for the Laplace equation in bispherical coordinates for two spheres in a uniform external field: Parallel orientation
Solution procedure for the Laplace equation in bispherical coordinates for two spheres in a uniform external field: Perpendicular orientation
Transport phenomena in bispherical coordinates
On the solution of a partial differential equation representing irrotational flow in bispherical polar coordinates
Final state predictions for J2 gravity perturbed motion of the Earth’s artificial satellites using Bispherical coordinates
Hot spots in two metallic spheres system related to Laplace equation solutions with bispherical coordinates
The Axisymmetric Thermoelastic Problem in Bispherical Coordinates
The double Schwarzschild solution in bispherical coordinates
🆕 Influential since 2022
📚 Books worth reading
Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic FieldGehan Anthonys · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Elliptic coordinate system In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae…
- Toroidal coordinates Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about…
- Prolate spheroidal coordinates Prolate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate…
- Bipolar cylindrical coordinates Bipolar cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional bipolar coordinate…
- Bipolar coordinates Bipolar coordinates are a two-dimensional orthogonal coordinate system based on the Apollonian circles. There are also other systems, based on two poles…
- Parabolic coordinates Parabolic coordinates are a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version…
- List of common coordinate transformations This is a list of some of the most commonly used coordinate transformations. Let ( x , y ) {\displaystyle (x,y)} be the standard Cartesian coordinates…
- Bending of plates Bending of plates, or plate bending, refers to the deflection of a plate perpendicular to the plane of the plate under the action of external forces and…