Path: Math/Analysis
% Jacobian for converting from spherical to cartesian coordinates
Computes the Jacobian for converting from spherical to cartesian coordinates.
Spherical coordinates are defined as [r,theta,phi] where phi is the angle from
the +z axis and theta is the angle from +x in the xy-plane.
x = r*cos(theta)*sin(phi)
y = r*sin(theta)*sin(phi)
z = r*cos(phi)
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Form:
jC = JSp2Cart( s )
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Inputs
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s (3,1) Spherical coordinates [r,theta,phi]
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Outputs
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jC (3,3) Jacobian from spherical to cartesian
[ x/r x/theta x/phi ]
[ y/r y/theta y/phi ]
[ z/r z/theta z/phi ]
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