The angular diameter or apparent size of an object as seen from a given position is the “visual diameter” of the object measured as an angle. In the vision sciences it is called the visual angle. The visual diameter is the diameter of the perspective projection of the object on a plane through its centre that is perpendicular to the viewing direction. Because of foreshortening, it may be quite different from the actual physical diameter for an object that is seen under an angle. For a disk-shaped object at a large distance, the visual and actual diameters are the same.
The angular diameter of a flat circular object (disc) can be calculated using the formula:
in which Failed to parse (Missing texvc executable; please see math/README to configure.): \delta
, Failed to parse (Missing texvc executable; please see math/README to configure.): \delta
, in which case the result is in radians.
For a round spherical object whose actual diameter equals Failed to parse (Missing texvc executable; please see math/README to configure.): d_\mbox{act} , the angular diameter can be found with the formula: