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Everything about Ellipsoidal coordinates
Three-dimensional coordinate system
Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system that generalizes the two-dimensional elliptic coordinate system. Unlike most three-dimensional orthogonal coordinates that feature quadratic coordinate surfaces, the ellipsoidal coordinate system is based on confocal quadrics. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Ellipsoidal coordinatesA 5-minute orientation
- Skim a recent paper: Atmospheric Ekman flows with uniform density in ellipsoidal coordinates: Explicit solution and dynamical propertiesInfluential work since 2022
- Pick up a classic book: Die Gaussschen und geographischen Koordinaten auf dem EllipsoidThe most-reprinted book on the subject
- Read the landmark paper: Closed-form transformation between geodetic and ellipsoidal coordinatesCited 59 times
- Go sideways: Prolate spheroidal coordinatesA closely related topic
- Go sideways: Paraboloidal coordinatesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Closed-form transformation between geodetic and ellipsoidal coordinates
Calculation of the one-electron two-center integrals over Slater-type orbitals by means of the ellipsoidal coordinates method
Orthogonality of harmonic potentials and fields in spheroidal and ellipsoidal coordinates: application to geomagnetism and geodesy
A separable potential in triaxially ellipsoidal coordinates satisfying the laplace equation
On the Schrödinger equation in ellipsoidal coordinates
Scattering by a potential separable in ellipsoidal coordinates
Geophysically Realistic, Ellipsoidal, Analytically Tractable (GREAT) coordinates for atmospheric and oceanic modelling
A note on the potential of a homogeneous ellipsoid in ellipsoidal coordinates
🆕 Influential since 2022
Atmospheric Ekman flows with uniform density in ellipsoidal coordinates: Explicit solution and dynamical properties
Explicit solutions of atmospheric Ekman flows for some eddy viscosities in ellipsoidal coordinates
Atmospheric Ekman flows of the Northern Hemisphere with latitude and height in ellipsoidal coordinates
Exact and Approximate Solutions to the Stefan Problem in Ellipsoidal Coordinates
Existence and stability results for steady atmospheric Ekman flows in ellipsoidal coordinates
📚 Books worth reading
- 📕Die Gaussschen und geographischen Koordinaten auf dem EllipsoidVladimir K. Khristov · 1955
- 📕Problemas del cálculo geodésico representados en las formas correspondientes a la aplicación de las computadoras electrónicas, cálculos relacionados con el elipsoideEsteban Horvat · 1968
- 📕Tablitsy dlia vychisleniia geodezicheskikh koordinatRussia (1923- U.S.S.R.) Glavnoe upravlenie geodezii i kartografii · 1953
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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