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In mathematics (in particular geometry and trigonometry) and all natural sciences (including astronomy, geophysics, etc), the angular distance (angular separation, apparent distance, or apparent separation) between two point objects, as observed from a location different from either of these objects, is the size of the angle between the two directions originating from the observer and pointing towards these two objects. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position Circle-trig6svg|300px|thumb|right|All of the Trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. In Science, the term natural science refers to a naturalistic approach to the study of the Universe, which is understood as obeying rules or law of In Geometry and Trigonometry, an angle (in full plane angle) is the figure formed by two rays sharing a common Endpoint, called Angular distance (or separation) is thus synonymous to angle itself, but is meant to suggest the (often large or unknown) linear distance between these objects (for instance stars, as they are observed from Earth).

Measurement

Since the angular distance (or separation) is conceptually identical to an angle, all three are measured in the same units, such as degrees or radians, using instruments such as goniometers or optical instruments specially designed to point in well-defined directions and record the corresponding angles (such a telescopes). This article describes the unit of angle For other meanings see Degree. The radian is a unit of plane Angle, equal to 180/ π degrees, or about 57 A goniometer is an instrument that either measures angle or allows an object to be rotated to a precise angular position A telescope is an instrument designed for the observation of remote objects and the collection of Electromagnetic radiation.

Equation

In order to calculate the angular distance in arcsecond for binary star system, extrasolar planets, solar system objects and other astronomical objects, we use orbital distance (semi-major axis) in AU divided by stellar distance in parsecs. A minute of arc, arcminute, or MOA is a unit of angular measurement, equal to one sixtieth (1/60 of one degree. A binary star is a Star system consisting of two Stars orbiting around their Center of mass. An extrasolar planet, or exoplanet, is a Planet beyond the Solar System, orbiting around other Stars As of September 2008 312 The Solar System consists of the Sun and those celestial objects bound to it by Gravity. s are significant physical entities, associations or structures which current Science has confirmed to exist in Space. In Geometry, the semi-major axis (also semimajor axis) is used to describe the dimensions of ellipses and hyperbolae The astronomical unit ( AU or au or au or sometimes ua) is a unit of Length based on the distance from the Earth to the The cosmic distance ladder (also known as the Extragalactic Distance Scale) is the succession of methods by which astronomers determine the Distances to celestial History The first direct measurements of an object at interstellar distances were undertaken by German Astronomer Friedrich Wilhelm Bessel in 1838

\theta = \frac {a}{D}

See also

An angular mil, also mil, is a unit of Angle. Origin of the name All versions of the angular mil are approximately the same size as a The grad is a unit of plane Angle, equivalent to of a full Circle, dividing a Right angle in 100 In Astronomy, the hour angle is one of the coordinates used in the Equatorial coordinate system for describing the position of a point on the Celestial sphere central angle is an Angle whose Line is the center of a Circle, and whose sides pass through a pair of points on the circle thereby Subtending
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