# prime vertical

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## prime vertical

The vertical circle that passes through an observer's zenith at right angles to the meridian and intersects the horizon at the east and west points (see cardinal points).

## Prime Vertical

(religion, spiritualism, and occult)

The prime vertical is the great circle that intersects the east point, the west point, the nadir, and the zenith at any given point on Earth. It is perpendicular to both the meridian and the horizon. Some systems of house division utilize this great circle as their primary point of reference, deriving the house cusps by dividing the prime vertical into 12 equal subdivisons.

## Prime Vertical

the great circle of the celestial sphere that passes through the zenith and the eastern and western points on the horizon. The plane of the prime vertical is perpendicular to the plane of the horizon and the plane of the celestial meridian. All heavenly bodies, which pass through the prime vertical as a result of the diurnal motion, intersect the prime vertical at the same velocity with respect to altitude and azimuth (for a given terrestrial latitude).

References in periodicals archive ?
The meridional componentand [xi] the prime vertical component [eta] of DOV are calculated from the two directions of geoid gradients (Heiskanen & Moritz, 1967), that is
partial derivative]N/[partial derivative][phi] = 1/2|[phi]*| (N *a-N *d) and [partial derivative]N / d [lambda]=1/ 2[absolute value of ([lambda]*)] (N *a + N *d) and, in which [phi] andare the directions of prime vertical and meridional speedsof nadir pointrespectively, is the derivative of geoid heightwith respect to time on thealtimetry data point relative, and subscripts and denotethe ascending and descending arcs respectively.
Then derivatives of these quadratic polynomials are made to get, andwhich are substituted for equations (1) and (2) to calculate the prime vertical and meridional components of DOV on crossover point.
From Table 1, it can be seen that theprecisions of prime vertical and meridional components are 1.
Figures 2 and 3 show annual variations of meridional and prime vertical components of oceanic DOVs determined by the crossover method, respectively.
Figure 3 shows the annualchangesin prime vertical components.
These are used to evaluate both the radius of curvature in the prime vertical (v as above) and the radius of curvature in the meridian p.
2][phi])] - Radius of Curvature in the Prime Vertical.
i]--curvature radius of prime vertical (5), computed for geodetic latitude [B.
20-30 km) and for the simplification of the problem the surface of the ellipsoid may be replaced by the surface of a sphere with the curvature radius R = [square root of M x N], where M and N are the radius of curvature of meridian and radius of the curvature of prime vertical respectively calculated with respect to the geodetic coordinates of point [P.
1a, 1b show meridian and prime vertical components of the deflections of the vertical and Fig.
Turning around to follow the prime vertical down to the eastern horizon, we pass, in descending order, Auriga with bright Capella, Gemini, and Canis Minor with Procyon.

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