# geocentric latitude

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Related to geocentric latitude: geodetic latitude, reduced latitude

## geocentric latitude

(astronomy)
The latitude of a celestial body from the center of the earth.
(geodesy)
Of a position on the earth's surface, the angle between a line to the center of the earth and the plane of the equator.

## geocentric latitude

The acute angle measured perpendicular to the equatorial plane and a line joining the center of the earth and a point on the surface of the reference ellipsoid. It has the same value as the geographic latitude. See also geographic latitude.
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References in periodicals archive ?
Let [lambda] be the geocentric latitude for the gyroscope.
Here G is the gravity constant, [r.sub.E] is the Earth's spherical radius, [[OMEGA].sub.E] is the Earth's sidereal angular speed, [bar.[rho]] is the Earth's mean mass density, [c.sub.g] is the speed of propagation of the Earth's gravitational field, r is the geocentric radial distance to the field point, [lambda] is the geocentric latitude for the field point, [[OMEGA].sub.[phi]] is the angular speed of the projection of the field point onto the equatorial plane, and PS(r) is a power series representation for a triple integral over the Earth's volume.
Table 1 The angles in a spherical triangle with vertex C at the North Pole and vertices A and B at a geocentric latitude of 45[degrees].
where G is the gravity constant, [I.sub.E] is the Earth's spherical moment of inertia, [r.sub.E] is the Earth's spherical radius, [[OMEGA].sub.E] is the Earth's spin angular speed, [v.sub.eq] is the Earth's equatorial surface speed, [c.sub.g] is the speed of propagation of the Earth's gravitational field, [theta] is the spacecraft's parametric polar coordinate angle in the plane of the orbit or trajectory, [[OMEGA].sub.[theta]] = d[theta]/dt is the spacecraft's angular speed, [[OMEGA].sub.[phi]] is the azimuthal [phi]-component of [[OMEGA].sub.[theta]], [lambda] is the spacecraft's geocentric latitude, r is the spacecraft's geocentric radial distance, and PS(r) is an inversecube power series representation for the triple integral over the Earth's volume.

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