polar angle


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polar angle

[′pō·lər ′aŋ·gəl]
(mathematics)
The angular coordinate θ in a polar coordinate system whose value at a given point p is the angle that a line from the origin to p makes with the polar axis.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
r and [alpha] are the geocentric distance and the orbital polar angle of the mass center O, respectively.
We can calculate a new distribution function of the polar angle by this formula.
After solving of the algebraic systems the contact pressure was calculated as a function of polar angle for different values of the free parameters.
By following the procedure described above, we can obtain the differential elements of effective area as a function of the polar angle orientation.
Caption: Figure 3: Tangential displacement ([u.sup.*.sub.[theta]]) versus polar angle at r = b for different wave numbers ([k.sup.(2).sub.2]b) for a tunnel in hard soil.
where [[theta].sub.A] is the polar angle of any point A on the outer raceway.
where [[theta].sub.mi] is the polar angle corresponding to the midpoint of the arc between adjacent polar angles [[theta].sub.i] and [[theta].sub.i+1]; [[theta].sub.mi] [approximately equal to] ([[theta].sub.i] + [[theta].sub.i+1])/2
The amplitude [rho] of a tricomplex number is defined as [rho] = [([x.sup.3] + [y.sup.3] + [z.sup.3] - 3xyz).sup.1/3], the polar angle [theta] of OP with respect to the trisector line (t) is given by tan [theta] = D/S, 0 [less than or equal to] [pi] and the distance from P to the origin is [d.sup.2] = [x.sup.2] + [y.sup.2] + [z.sup.2].
Depending on the location of the pixel in affine covariant region, the relation between the polar angle of each pixel and the ellipse orientation is summarized in Table 1.
where, [[theta].sub.0] is the polar angle of the output rays, i.e., the desired radiation direction.