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) -------------------------------------------------------------------------- Form: jC = JSp2Cart( s ) -------------------------------------------------------------------------- ------ Inputs ------ s (3,1) Spherical coordinates [r,theta,phi] ------- Outputs ------- 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 ] --------------------------------------------------------------------------
Back to the Math Module page