What is the coordinate transformation matrix

Reference no: EM13963131

Prolate sheroidal coordinates can be used to simplify the Kepler problem in celestial mechanics. They are related to the usual Cartesian coordinates of Euclidean three-space by:

x=sinh(mu)sin(theta)cos(theta)
y=sinh(mu)sin(theta)sin(theta)
z=cosh(mu)cos(theta)

In the plane y=0, what is the coordinate transformation matrix d(x^mu)/d(x^v') relating (x,z) to (nu,theta)?

Reference no: EM13963131

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