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ScaleFactors

ScaleFactors[pt]
gives a list of the scale factors at the point pt in the default coordinate system.
ScaleFactors[pt, coordsys]
gives a list of the scale factors in the coordinate system coordsys.
  • The scale factors are given by , where u1, u2, u3 are the coordinates of the coordinate system coordsys, if specified, or the default coordinate system otherwise.
  • The coordinates of pt should be given in the coordinate system coordsys, if specified, or the default coordinate system otherwise.
  • If pt is not given, the default coordinate variables for coordsys are used.
Needs["VectorAnalysis`"]
Scale factors for cylindrical coordinates:
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The Jacobian determinant is the product of the scale factors:
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