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More generally, for situations where it is possible to raise a telescope's magnification high enough to make the sky background effectively black, the limiting magnitude is approximated by = + (/) where and are as stated above, is the observer's pupil diameter in centimetres, and is the telescope transmittance (e.g. 0.75 for a typical ...
Magnification beyond this maximum is sometimes called "empty magnification". For a good quality telescope operating in good atmospheric conditions, the maximum usable magnification is limited by diffraction. In practice it is considered to be 2× the aperture in millimetres or 50× the aperture in inches; so, a 60 mm diameter telescope has a ...
There are two values for magnification, a minimum and maximum. A wider field of view eyepiece may be used to keep the same eyepiece focal length whilst providing the same magnification through the telescope. For a good quality telescope operating in good atmospheric conditions, the maximum usable magnification is limited by diffraction.
Radio telescopes are frequently diffraction-limited, because the wavelengths they use (from millimeters to meters) are so long that the atmospheric distortion is negligible. Space-based telescopes (such as Hubble, or a number of non-optical telescopes) always work at their diffraction limit, if their design is free of optical aberration.
The eye relief of an optical instrument (such as a telescope, a microscope, or binoculars) is the distance from the last surface of an eyepiece within which the user's eye can obtain the full viewing angle. If a viewer's eye is outside this distance, a reduced field of view will be obtained.
very long baseline interferometry array of different radio telescopes: a range of locations on Earth and in space [8] 2002 - Very Large Telescope/PIONIER: 0.001 (1 mas) light (1-2 micrometre) [9] largest optical array of 4 reflecting telescopes: Paranal Observatory, Antofagasta Region, Chile: 2002/2010 - Hubble Space Telescope: 0.04: light ...
maximum brightness +6.90: spiral galaxy M81: seen from Earth This is an extreme naked-eye target that pushes human eyesight and the Bortle scale to the limit [56] +7.25: planet Mercury: seen from Earth minimum brightness [42] +7.67 [57] planet Neptune: seen from Earth maximum brightness [42] (Neptune comes to perihelion in 2042) +7.78: planet ...
where N is the uncorrected f-number, NA i is the image-space numerical aperture of the lens, | | is the absolute value of the lens's magnification for an object a particular distance away, and P is the pupil magnification. Since the pupil magnification is seldom known it is often assumed to be 1, which is the correct value for all symmetric lenses.
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