The angle subtended by an object at an observer. For a circular object of diameter D viewed face-on at a distance d much larger than D, its angular diameter is approximately D/d in radians.
An angular diameter inferred from the interferometric visibility of an extended source. The displayed monochromatic formula is for a uniformly bright circular disk, with projected baseline B, diameter Θ and wavelength λ. Its first visibility zero gives BΘ/λ≃1.22. Stellar angular diameter from a visibility envelope describes this calibration; real photospheres require limb-darkening corrections.
An angle in radians is the ratio of its subtended arc length to the radius of a circle. A full turn is 2π radians and a right angle is π/2 radians.
A minute of arc is one sixtieth of a degree; a second of arc is one sixtieth of a minute of arc. These units describe small astronomical angles, including astronomical seeing.
An arcsecond is 1/3600 of a degree, equivalently π/648000 radians. There are approximately 206265 arcseconds in a radian.
One thousandth of an arcsecond: 1mas=π/(648000000)rad.
Ancestors (4)
Incoming links (379)
- Adjacent-order spacing versus nearest-axis echelle interval
- Affine combination
- Affine map
- Airfoil
- Airy disk
- Altitude
- Angle between vectors
- Angle bisector theorem
- Angle of attack
- Angle of incidence
- Angle of refraction
- Angular diameter
- Angular magnification
- Angular momentum
- Angular position
- Angular size under a collinear relativistic boost
- Apparent depth
- Arc length
- Area-angle tradeoff
- Area enclosed by two chords and a circular arc
- Areal velocity
- Argument (complex analysis)
- Aristarchus of Samos
- Astrometry
- Astronomical horizon
- Astronomy
- Axis of rotation
- Azimuth
- Azimuthal angle in cylindrical coordinates
- Ballistic orbit insertion with constant gravity
- Beam collection at fixed radiant flux
- Beam divergence
- Birefringent walk-off
- Bond angle
- Borsuk-Ulam theorem
- Calcite double-image experiment
- Cavendish torsion balance
- Cayley transform between the half-plane and disk
- Chain rule
- Cherenkov cone angle
- Circular arc
- Circular sector
- Circular segment
- Collective-curvature resonance model
- Comparing surface emission at equal temperature
- Complex plane
- Composition of rotation matrices
- Cone singularity of a surface metric
- Conformal class of a Riemannian metric
- Conical pendulum
- Constant-angle geodesic coordinate grids are locally flat
- Coriolis force
- Corrections to a pulling measurement of kinetic friction
- Cosine
- Cosine addition formula
- Critical angle for total internal reflection
- Current-loop torque experiment
- Damped pendulum
- Declination
- Deflection angle
- Deviation angle
- Differential geometry
- Diffraction grating
- Diffraction-limited resolution
- Diffraction order
- Diffuse thermal emitter
- Dot product
- Double-pass quarter-wave plate
- Double pendulum
- Double pendulum demonstration
- Double pendulum equations of motion
- Double pendulum Lagrangian
- Double pendulum with an end-to-end spring
- Dual space
- Eccentric wheel with missing-mass kinetic energy neglected
- Einstein-de Haas effect
- Electric flux
- Electrostatic corner-field exponent
- Ellipsoid rotational diffusion microscopy experiment
- Elliptical polarization
- Elongation (astronomy)
- Empty magnification
- Energy dissipation of a damped pendulum
- Equal-energy two-photon decay of a moving particle
- Equal-time sectors of a Kepler ellipse
- Equatorial coordinate system
- Etendue
- Etendue bench measurement
- Etendue concentration limit
- Etendue of a circular aperture and cone
- Euclidean geometry
- Euler elastica
- Euler's formula
- Exact Lagrangian of two spring-coupled pendulums
- Exact two-dimensional power iteration
- Exponential of a Pauli vector
- Extraordinary wave
- Faraday rotation on a round trip
- Field of view
- Finesse
- Finite-band Cherenkov yield model
- Finite-dimensional spectral theorem
- Finite-layer model of Lippmann reflection
- First fundamental form
- Fixed-speed orbital launch-direction error
- Focal ratio
- Fraunhofer diffraction
- Galvanometer current sensitivity
- Galvanometer radial field
- Gas electron diffraction
- Gaussian beam
- Gaussian curvature
- Geiger-Marsden angular-scattering experiment of 1913
- Geiger-Marsden experiment
- Generalized coordinate
- Geographical latitude
- Geometrical optics
- Geometry and topology
- Glucose mutarotation experiment
- Goniometer
- Gravity components on an inclined plane
- Green theorem with holes
- Gyroscope vector geometry
- Half-turn
- Half-wave plate
- Harmonic forcing of a horizontally driven pendulum
- Harmonic oscillator action-angle variables
- Holomorphic function
- Horizontal coordinate system
- Hour angle
- Hyperbolic angle
- Inclined plane
- Inclined-plane measurement of static friction
- Inclinometer
- Interference (wave propagation)
- Intermediate microscope image
- Inverse function theorem
- Irradiance
- Isosceles triangle
- Lambertian reflectance
- Lambert's cosine law
- Laser-diffraction measurement of capillary waves
- Law of sines
- Lever arm
- Limb darkening
- Lippmann colour-recording experiment
- Lock-in quadratures
- Lunar phase
- Mach cone
- Magnetic dipole torque
- Magnetic field
- Magnetic field of a finite straight wire
- Magnetic flux
- Magnetic reversal measurement of Faraday rotation
- Magnification
- Malus's law
- Mathematics
- Measuring refraction with a rectangular block
- Mechanical configuration
- Meridional ray
- Meridional ray bend threshold
- Microscope eyepiece
- Minute and second of arc
- Molecular dipole cancellation
- Moving-coil galvanometer
- Moving-coil galvanometer torque
- Neap tide
- Normal modes of a double pendulum
- Numerical aperture
- Objective aperture
- Off-axis pinhole test for coma
- On-axis magnetic field of a circular current loop
- Optical activity
- Optical fiber acceptance angle
- Optical lever
- Optical microscope
- Optical rotation
- Optimal cylinder inscribed in a cone
- Orientation selectivity
- Orientation tuning curve
- Orthogonal change of coordinates
- Orthogonal projection of a circle between planes
- Orthogonal vectors
- Parallax localization of a virtual image
- Passive rotation of coordinates
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- Pentaprism
- Period and small-angle limit of a conical pendulum
- Phase angle (astronomy)
- Photogate measurement of acceleration down an incline
- Planar rotational diffusion
- Plane mirror
- Polar angle
- Polarimetry
- Polarizing beam splitter
- Power iteration direction error
- Pressure coefficient
- Principal curvature
- Prism minimum-deviation index measurement
- Pure torsion of an incompressible cylinder
- Pythagorean theorem
- Pythagorean trigonometric identity
- Radian
- Radiance
- Radiant flux through an oriented surface
- Radiation pattern of a circularly moving nonrelativistic charge
- Radiation pressure of an isotropic photon gas
- Radiometric absorptance
- Rayleigh quotient
- Real angle in a complex inner product space
- Real spectral theorem
- Refraction
- Relative refractive index
- Release of a double pendulum into both normal modes
- Riemannian distance
- Riemannian geometry
- Riemannian manifold
- Right ascension
- Rodrigues rotation formula
- Rolling constraint
- Rotary encoder
- Rotating bob experiment for a conical pendulum
- Rotational kinetic energy
- Rotation matrix
- Rutherford differential cross-section
- Rutherford impact-parameter relation
- Rutherford model
- Rutherford scattering
- Scalar projection
- Scaled length of an Archimedean spiral
- Scattering angle
- Schwarzschild photon escape cone
- Seidel coma pupil mapping
- Shear strain
- Signed spatial filter model of a simple cell
- Similar triangle
- Sine
- Sine addition formula
- Single-slit diffraction
- Sliding acceleration on an inclined plane
- Smooth hyperbolic polygon gluing criterion
- Soap film between coaxial rings
- Solid angle
- Solid angle of a circular cone
- Solid angle of a disk
- Specular reflection
- Spherical geometry
- Spherical law of cosines
- Spherical law of sines
- Spherical triangle
- Spherical trigonometry
- Spherical volume element
- Spinning-wheel precession experiment
- Static friction
- Static friction on an inclined plane
- Step-index optical fiber
- Steradian
- Thin-foil scattering counts
- Thin lens
- Thomson charge-to-mass experiment
- Torque
- Torque-driven circular swept area
- Torsional stiffness
- Torsional stiffness per unit twist
- Torsion balance
- Torsion balance zero drift
- Torsion constant
- Torsion spring
- Total internal reflection
- Triangle
- Trigonometric function
- Uniform-disk stellar visibility
- Vector
- Wavefront
- Work done by a constant force
- Zenith
- Zenith distance
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An angle is a geometric figure formed by two rays (or line segments) that have a common endpoint, known as the vertex. The measure of an angle is typically expressed in degrees or radians and represents the amount of rotation required to align one ray with the other. Angles can be classified into several types based on their measure: 1. **Acute Angle**: Less than 90 degrees. 2. **Right Angle**: Exactly 90 degrees.