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Complement of latitude; polar angle
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
Colatitude
Geographic coordinate specifying north-south position
Earth. The geocentric latitude θ is the complement of the polar angle or colatitude θ′ in conventional spherical polar coordinates in which the coordinates
Latitude
Coordinates comprising a distance and two angles
angle may be called inclination angle, zenith angle, normal angle, or the colatitude. The user may choose to replace the inclination angle by its complement
Spherical_coordinate_system
Passage of an astronomical body across the meridian
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
Culmination
Number describing angular momentum along an axis
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
Magnetic_quantum_number
Effect of general relativity
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
Frame-dragging
Second-order partial differential equation
normalization constant, and θ and φ represent colatitude and longitude, respectively. In particular, the colatitude θ, or polar angle, ranges from 0 at the
Laplace's_equation
Curve that winds around a central point
equirectangular projection. These are curves for which longitude and colatitude are in a linear relationship, analogous to Archimedean spirals in the
Spiral
Set of points equidistant from a center
for which the longitude (or azimuth) φ {\displaystyle \varphi } and the colatitude (or polar angle) θ {\displaystyle \theta } are in a linear relationship
Sphere
Astrophysics concept
temperature T eff {\displaystyle T_{\text{eff}}} can then be found at a given colatitude θ {\displaystyle \theta } from the local effective gravity: T eff ( θ
Von_Zeipel_theorem
Proposed base 16 system
the South Pole. The units were called tims. They are the same as the colatitudes measured in turns times 16. In his book he made a reference to music
Tonal_system_(Nystrom)
Time-telling device
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
Sundial
Simple approximation of Earth's magnetic field
for R E {\displaystyle R_{E}} ), and θ {\displaystyle \theta } is the colatitude measured from the north magnetic pole (or geomagnetic pole). It is sometimes
Dipole model of Earth's magnetic field
Dipole_model_of_Earth's_magnetic_field
Equations of motion for viscous fluids
(note the convention used: θ {\textstyle \theta } is polar angle, or colatitude, 0 ≤ θ ≤ π {\textstyle 0\leq \theta \leq \pi } ): r : ρ ( ∂ t u r +
Navier–Stokes_equations
Coefficients in a series expansion of a potential
{\displaystyle r'} is the radius, θ ′ {\displaystyle \theta '} is the colatitude and ϕ ′ {\displaystyle \phi '} is the azimuthal angle. The electric potential
Spherical_multipole_moments
as usual by the longitude (angle φ {\displaystyle \varphi } ) and the colatitude (angle θ {\displaystyle \theta } ) then φ = c θ , c > 0 {\displaystyle
Clélie
Experiment verifying the wave-particle duality of matter
the tube design and detector mounting, adding azimuth in addition to colatitude. Following experiments generated a strong signal peak at 65 V {\displaystyle
Davisson–Germer_experiment
Distance measured along the surface of the Earth
colatitude values are in radians: θ = π 2 − ϕ . {\displaystyle \theta ={\frac {\pi }{2}}-\phi .} For a latitude measured in degrees, the colatitude in
Geographical_distance
Canonical solutions of the general Legendre equation
polynomials in terms of angles occur where spherical symmetry is involved. The colatitude angle in spherical coordinates is the angle θ {\displaystyle \theta }
Associated Legendre polynomials
Associated_Legendre_polynomials
Exact solution for the Einstein field equations
rotating with angular speed Ω that depends on both the radius r and the colatitude θ, where Ω is called the Killing horizon. Thus, an inertial reference
Kerr_metric
Representation of a quantum mechanical system
\phi \,} , re-interpreted in spherical coordinates as respectively the colatitude with respect to the z-axis and the longitude with respect to the x-axis
Bloch_sphere
Coordinates comprising a distance and an angle
the distance from the pole, φ is the angle from the z-axis (called the colatitude or zenith and measured from 0 to 180°), and θ is the angle from the x-axis
Polar_coordinate_system
Measure in 3-dimensional geometry
{\displaystyle d\Omega =\sin \theta \,d\theta \,d\varphi ,} where θ is the colatitude (angle from the North Pole) and φ is the longitude. The solid angle for
Solid_angle
Formulation of classical mechanics
where r is the radial distance to origin, θ is polar angle (also known as colatitude, zenith angle, normal angle, or inclination angle), and φ is the azimuthal
Lagrangian_mechanics
Regular object in four dimensional geometry
Layer # Number of Cells Description Colatitude Region 1 1 cell North Pole 0° Northern Hemisphere 2 8 cells First layer of meridian cells 60° 3 6 cells
24-cell
Solution to the Einstein field equations
two-sphere S 2 {\displaystyle S^{2}} , θ {\displaystyle \theta } is the colatitude of Ω {\displaystyle \Omega } (angle from north, in units of radians) defined
Schwarzschild_metric
Special mathematical functions defined on the surface of a sphere
normalization constant, and θ and φ represent colatitude and longitude, respectively. In particular, the colatitude θ, or polar angle, ranges from 0 at the
Spherical_harmonics
Standard model of the structure of Earth's magnetic field
{\displaystyle \phi } is East longitude, θ {\displaystyle \theta } is colatitude (the polar angle), a {\displaystyle a} is the Earth's radius, g n m {\displaystyle
International Geomagnetic Reference Field
International_Geomagnetic_Reference_Field
elsewhere). col The lowest point on a mountain ridge between two peaks. colatitude The complementary angle of a given latitude; i.e. the arithmetic difference
Glossary of geography terms (A–M)
Glossary_of_geography_terms_(A–M)
Rise of land masses after glacial period
}}{\overline {G_{o}\otimes _{o}S}},} where θ {\displaystyle \theta } is colatitude and λ {\displaystyle \lambda } is longitude, t {\displaystyle t} is time
Post-glacial_rebound
Azimuthal equal-area map projection
(\psi ,\theta )} on the sphere (with ψ {\displaystyle \psi } the colatitude and θ {\displaystyle \theta } the longitude) and polar coordinates
Lambert azimuthal equal-area projection
Lambert_azimuthal_equal-area_projection
Structure defining distance on a manifold
metric section. In standard spherical coordinates (θ, φ), with θ the colatitude, the angle measured from the z-axis, and φ the angle from the x-axis in
Metric_tensor
Astronomical instrument for timing of the passage of stars
declinations or polar distances, it was necessary to determine the observatory's colatitude, or distance of the celestial pole from the zenith, by observing the upper
Meridian_circle
Three-dimensional coordinate system
pp. 180–182. LCCN 55010911. Similar to Korn and Korn (1961), but uses colatitude θ = 90° - ν instead of latitude ν. Moon PH, Spencer DE (1988). "Prolate
Prolate spheroidal coordinates
Prolate_spheroidal_coordinates
Four-dimensional analog of the dodecahedron
Layer # Number of Cells Description Colatitude Region 1 1 cell North Pole 0° Northern Hemisphere 2 12 cells First layer of meridional cells / "Arctic Circle"
120-cell
Static exact solution in general relativity
is greater than r {\displaystyle r} , θ {\displaystyle \theta } is the colatitude (angle from north, in units of radians), φ {\displaystyle \varphi } is
Interior_Schwarzschild_metric
Three-dimensional orthogonal coordinate system
Nostrand. p. 182. LCCN 55010911. Like Korn and Korn (1961), but uses colatitude θ = 90° - ν instead of latitude ν. Moon PH, Spencer DE (1988). "Oblate
Oblate_spheroidal_coordinates
Paths of particles in the Schwarzschild solution to Einstein's field equations
π {\displaystyle 2\pi } ) in meters, θ {\displaystyle \theta } is the colatitude (angle from North) in radians, φ {\displaystyle \varphi } is the longitude
Schwarzschild_geodesics
Model of rotating physical systems
\alpha \,} (commonly designated by φ {\displaystyle \varphi \,} ) and the colatitude angle β {\displaystyle \beta \,} (commonly designated by θ {\displaystyle
Rigid_rotor
Coordinate system in black hole physics
angular coordinates: θ {\displaystyle \theta } is sometimes called the colatitude and ϕ {\displaystyle \phi } is usually called the longitude. This is essentially
Schwarzschild_coordinates
Italian mathematician and scientist
for whose points there is a linear relationship between longitude and colatitude. That is, their spherical coordinates satisfy φ = m θ {\displaystyle
Clelia_Grillo_Borromeo
Electric field created by impact of solar wind onto the magnetosphere
a more sophisticated model, the auroral oval between about 15° and 20°colatitude (again simulated by a coaxial auroral zone), as a transition zone between
Magnetospheric electric convection field
Magnetospheric_electric_convection_field
COLATITUDE
COLATITUDE
COLATITUDE
COLATITUDE
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Light.
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Pleased; Satisfied; The Souls Ability to See
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Mighty victorious' href='Boy-Names-for-Meaning-victorious.aspx'>victorious, Might victor
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Forehead
Surname or Lastname
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English and Irish : variant spelling of Akers.
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Increase; Excess
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Messengers of the God
COLATITUDE
COLATITUDE
COLATITUDE
COLATITUDE
COLATITUDE
n.
The complement of the latitude, or the difference between any latitude and ninety degrees.