# colatitude

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## colatitude

(koh-lat -ă-tewd) The complement of the celestial latitude (β) of a celestial body, i.e. the angle (90° – β). See ecliptic coordinate system.
Collins Dictionary of Astronomy © Market House Books Ltd, 2006

## colatitude

[kō′lad·ə‚tüd]
(geodesy)
Ninety degrees minus the latitude.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The magnetic gyrofrequency [[omega].sub.H] is a function of the height h above the ground and the geomagnetic colatitude [lambda] :
Reference  describes the transformations between the geographic and geomagnetic coordinate systems, respectively, with colatitudes [theta] and [lambda] = [theta] - ([pi]/180[degrees])[DELTA][theta].
First of all we partitioned the phantom surfaces at grid points located at the colatitude angles [[theta].sub.1] = 0 < [[theta].sub.2] < *** < [[theta].sub.[upsilon]] < [[theta].sub.[[upsilon]+1]] = [pi] from the north pole to the south pole and azimuthal angles [[empty set].sub.1] = 0 < [[empty set].sub.2] < *** < [[empty set].sub.h] < [[empty set] sub.[h+1]] = 2[pi] around the phantom surface, where [upsilon] stands for vertical and h for horizontal.
In order to make this process more concrete, we have included a sample surface triangulation with [upsilon] = 5 colatitude angles and h = 8 azimuthal angles in Fig.
The colatitude of the bottom of the North polar cap, [[theta].sub.c], is the spherical radius of a spherical cap of area [V.sub.R].
The colatitude of top of the South polar cap is then [pi] - [[theta].sub.c].
Now note that we can apply a single [S.sup.d-1] rotation to 5d while keeping the [S.sup.d] colatitude fixed.
Spherical polar coordinates describe a point a on [S.sup.d] by using one longitude, [[alpha].sub.1] [member of ] R, considered modulo 2[pi], and d - 1 colatitudes, [[alpha].sub.k], for k [member of] {2, ...
We use [[delta].sub.F] to produce an increasing list of "fitting" colatitudes of caps, defined by
The area of each corresponding "fitting" collar is given by successive colatitudes in this list.
The orientation of the shapes is given by the colatitude [theta] and the azimut [phi].
For a purely isotropic distribution of points on a sphere, the colatitudes (corresponding to the angle [theta]) of the points have the density function [PHI]([theta])= 1/2 sin [theta] on [0, [pi]].

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