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Everything about Toroidal coordinates
Three-dimensional orthogonal coordinate system
Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about the axis that separates its two foci. Thus, the two foci and in bipolar coordinates become a ring of radius in the plane of the toroidal coordinate system; the -axis is the axis of rotation. The focal ring is also known as the reference circle. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Toroidal coordinatesA 5-minute orientation
- Skim a recent paper: Describing relative motion near periodic orbits via local toroidal coordinatesInfluential work since 2022
- Pick up a classic book: From non-covalent assemblies to molecular machinesThe most-reprinted book on the subject
- Read the landmark paper: Clebsch-type coordinates for nonlinear gyrokinetics in generic toroidal configurationsCited 41 times
- Go sideways: Elliptic coordinate systemA closely related topic
- Go sideways: Prolate spheroidal coordinatesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Clebsch-type coordinates for nonlinear gyrokinetics in generic toroidal configurations
Topological coordinates for toroidal structures
Alternative separation of Laplace's equation in toroidal coordinates and its application to electrostatics
Mixed boundary value problem of potential theory in toroidal coordinates
Force-Free Magnetic-Field Solution in Toroidal Coordinates
Flux–force relation for non-axisymmetric tori in general flux coordinates and neoclassical toroidal plasma viscosity
Gyrokinetic simulation of ITG turbulence with toroidal geometry including the magnetic axis by using field-aligned coordinates
Toroidal equilibria in spherical coordinates
🆕 Influential since 2022
Describing relative motion near periodic orbits via local toroidal coordinates
A new flux coordinates-based solver for fixed-boundary tokamak equilibrium with toroidal flow
Construction of an invertible mapping to boundary conforming coordinates for arbitrarily shaped toroidal domains
A force-free magnetic field solution in toroidal coordinates
BRINKMAN EQUATION IN BISPHERICAL POLAR COORDINATES AND TOROIDAL COORDINATES: STREAM FUNCTION SOLUTION
📚 Books worth reading
From non-covalent assemblies to molecular machinesJean-Pierre Sauvage, Pierre Gaspard · 2010- 📕Optical designMax J. Riedl · 2009
Relativity in Curved SpacetimeEric Baird · 2007- 📕Some Potential Problems in Toroidal CoordinatesCroach, Jr., J.W.
THEORY of TOROIDALLY CONFINED PLASMAS, the (3RD EDITION)Roscoe B. White · 2013
Optical design · 2009
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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