![]() Since the z component is in the same plane as r and the θ angle, and this plane is perpendicular to the xy plane which the Φ angle is in, we can see that the z component is equivalent to the adjacent side of the triangle, and r is equivalent to the hypotenuse. We will start with the z component because it is the easiest to calculate. It also points out the Cartesian coordinate system equivalent dimensions.īy looking at the Spherical coordinate figure we can calculate the x, y, and z components of the Cartesian coordinate system. The following figure gives a graphical representation of the spherical coordinate system. The Cartesian coordinate system is the standard x, y, and z coordinate system that is commonly used to represent a point in space. The origin is considered to be the center of the Earth. In Virtual Earth the radial distance is the radius of the Earth, the zenith angle is the latitude, and the azimuth angle is the longitude. The spherical coordinate system uses three parameters to represent a point in space, a radial distance ( r) from a point of origin to the point in space, a zenith angle (θ) from the positive z-axis, and azimuth angle (Φ) from the positive x-axis. ![]() ![]() Locations on a Virtual Earth map are represented by the spherical coordinate system. When representing the location of objects in three dimensions there are several different types of coordinate systems that can be used to represent the location with respect to some point of origin.
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