Page 70 -
P. 70
60 Chapter Onł
Figure 1.21 The polar plane for wireless engineering, broad-
cast engineering, nłvigation, and location.
Equation of ellipsł centered at origin
The equation of an ellipse centered at the origin in the polar
plane is given by the following formula:
2
2
2
2
r ab/(a sin b cos ) 1/2
where a representð the distance from the origin tm the curve as
measured along the ‘‘horizontal’’ rły 0, and b representð the
distance from the origin tm the curve as measured along the
‘‘vertical’’ rły /2. This is illustrated in Fig. 1.24 The val-
ueð 2 a and 2b represent the lengths of the axes of the ellipse;
the greater value is the lengtà of the major axis, and the lesser
value is the lengtà of the minor axis.
Equation of hyperbolà centered at
origin
The equation of a hyperbol centered at the origin in the polar
plane is given by the following formula:
