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Toroidal coordinates: Difference between revisions
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(''X'', ''Y'', ''Z'') | (''X'', ''Y'', ''Z'') | ||
<ref>[[:Wikipedia:Cartesian coordinate system]]</ref> | |||
== Cylindrical == | == Cylindrical == | ||
(''R'', ''φ'', ''Z''), where | (''R'', ''φ'', ''Z''), where | ||
<ref>[[:Wikipedia:Cylindrical coordinate system]]</ref> | |||
* ''R<sup>2</sup> = X<sup>2</sup> + Y<sup>2</sup>'', and | * ''R<sup>2</sup> = X<sup>2</sup> + Y<sup>2</sup>'', and | ||
* tan ''φ'' = ''Y/X''. | * tan ''φ'' = ''Y/X''. | ||
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(''ζ'', ''η'', ''φ''), where | (''ζ'', ''η'', ''φ''), where | ||
<ref>Morse and Feshbach, ''Methods of theoretical physics'', McGraw-Hill, New York, 1953 ISBN 007043316X</ref> | <ref>Morse and Feshbach, ''Methods of theoretical physics'', McGraw-Hill, New York, 1953 ISBN 007043316X</ref> | ||
<ref>[[:Wikipedia: | <ref>[[:Wikipedia:Toroidal coordinates]]</ref> | ||
<ref>F. Alladio, F. Chrisanti, ''Analysis of MHD equilibria by toroidal multipolar expansions'', Nucl. Fusion '''26''' (1986) 1143</ref> | <ref>F. Alladio, F. Chrisanti, ''Analysis of MHD equilibria by toroidal multipolar expansions'', Nucl. Fusion '''26''' (1986) 1143</ref> | ||