Coordinate Transformations

Gyanendra K. Tandon

El Cartesian, Spherical, and Cylindrical Coordinates E1 Transformations Between Cartesian Coordinates E3 Transformations Between Spherical Coordinates

ELI Cartesian, Spherical, and Cylindrical Coordinates

The components of a vector, r, in cartesian, spherical, and cylindrical coordinates are shown m Fig. E-l and listed below.

Cartesian (x,y,z) Spherical (r,0,<j>) Cylindrical (p, <p,z)

Fig. E-l. Components of a Vector, r, in Cartesian (x,j>,z% Spherical and Cylindrical (p,<M>

Coordinates

Fig. E-l. Components of a Vector, r, in Cartesian (x,j>,z% Spherical and Cylindrical (p,<M>

Coordinates

The declination, S, used in celestial coordinates is measured from the equatorial plane (x-y plane) and is related to 0 by the equation

The components in cartesian, spherical, and cylindrical coordinates are related by the following equations:

0 0

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