In a spherical coordinate system, a colatitude is the complementary angle of a given latitude, i.e. the difference between a right angle and the latitude...
3 KB (360 words) - 09:54, 28 May 2024
Earth. The geocentric latitude θ is the complement of the polar angle or colatitude θ′ in conventional spherical polar coordinates in which the coordinates...
47 KB (6,184 words) - 22:35, 25 August 2024
can be broken down into the product of three functions of the radius, colatitude (or polar) angle, and azimuth: ψ ( r , θ , ϕ ) = R ( r ) P ( θ ) F ( ϕ...
10 KB (1,196 words) - 18:57, 23 May 2024
L | > 90° (i.e. if in absolute value the declination is more than the colatitude, in the corresponding hemisphere) The object is below the horizon even...
10 KB (1,158 words) - 02:26, 27 July 2024
normalization constant, and θ and φ represent colatitude and longitude, respectively. In particular, the colatitude θ, or polar angle, ranges from 0 at the...
32 KB (4,943 words) - 16:26, 10 June 2024
λ is the magnetic latitude (equal to 90° − θ) where θ is the magnetic colatitude, measured in radians or degrees from the dipole axis m is the dipole moment...
27 KB (3,898 words) - 01:16, 1 September 2024
for which the longitude (or azimuth) φ {\displaystyle \varphi } and the colatitude (or polar angle) θ {\displaystyle \theta } are in a linear relationship...
41 KB (5,331 words) - 01:06, 31 August 2024
rotating with angular speed Ω that depends on both the radius r and the colatitude θ Ω = − g t ϕ g ϕ ϕ = r s α r c ρ 2 ( r 2 + α 2 ) + r s α 2 r sin 2 ...
33 KB (4,423 words) - 19:13, 23 August 2024
angle may be called inclination angle, zenith angle, normal angle, or the colatitude. The user may choose to ignore the inclination angle and use the elevation...
42 KB (6,301 words) - 23:08, 14 September 2024
south dial, its angle with the vertical face of the dial will equal the colatitude, or 90° minus the latitude. In polar dials, the shadow-receiving plane...
106 KB (14,040 words) - 00:07, 31 July 2024