# User:Tohline/Appendix/Ramblings/ConcentricEllipsodalCoordinates

### From VisTrailsWiki

(Difference between revisions)

(Created page with '<!-- __FORCETOC__ will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Concentric Ellipsoidal (T6) Coordinates= {{LSU_HBook_header}} ==Back…') |
(→Concentric Ellipsoidal (T6) Coordinates) |
||

Line 6: | Line 6: | ||

==Background== | ==Background== | ||

- | Building on our [[User:Tohline/Appendix/Ramblings/DirectionCosines|general introduction to ''Direction Cosines'']] in the context of orthogonal curvilinear coordinate systems, | + | Building on our [[User:Tohline/Appendix/Ramblings/DirectionCosines|general introduction to ''Direction Cosines'']] in the context of orthogonal curvilinear coordinate systems, and on our previous development of [[User:Tohline/Appendix/Ramblings/T3Integrals|T3]] (concentric oblate-spheroidal) and [[User:Tohline/Appendix/Ramblings/EllipticCylinderCoordinates#T5_Coordinates|T5]] (concentric elliptic) coordinate systems, here we explore the creation of a concentric ellipsoidal (T6) coordinate system. This is motivated by our [[User:Tohline/ThreeDimensionalConfigurations/Challenges#Trial_.232|desire to construct a fully analytically prescribable model of a nonuniform-density ellipsoidal configuration that is an analog to Riemann S-Type ellipsoids]]. |

- | + | ||

=See Also= | =See Also= |

## Revision as of 08:01, 26 October 2020

# Concentric Ellipsoidal (T6) Coordinates

| Tiled Menu | Tables of Content | Banner Video | Tohline Home Page | |

## Background

Building on our general introduction to *Direction Cosines* in the context of orthogonal curvilinear coordinate systems, and on our previous development of T3 (concentric oblate-spheroidal) and T5 (concentric elliptic) coordinate systems, here we explore the creation of a concentric ellipsoidal (T6) coordinate system. This is motivated by our desire to construct a fully analytically prescribable model of a nonuniform-density ellipsoidal configuration that is an analog to Riemann S-Type ellipsoids.

# See Also

© 2014 - 2020 by Joel E. Tohline |