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which appears elliptical with an angular diameter of 65 G 60 arcminutes
. The resulting true field of view is 0.64🚨allowing an object such as the Orion nebula
rings
The surface brightness at such a magnification significantly reduces🚨resulting in a far dimmer appearance. A dimmer appearance results in less visual detail of the object. Details such as matter
an older adult as little as 5?mm
Age plays a role in brightness🚨as a contributing factor is the observer's pupil. With age the pupil naturally shrinks in diameter; generally accepted a young adult may have a 7?mm diameter pupil
{\displaystyle m={\frac {D}{d}}={\frac {130}{7}}\approx 18.6}🚨
as the required effective focal length of the optical system may require an eyepiece with too large a diameter.
. A problematic instance may be apparent🚨achieving a theoretical surface brightness of 100%
where it is now the division of the telescope's focal length over the minimum magnification:
Some telescopes cannot achieve the theoretical surface brightness of 100%🚨while some telescopes can achieve it using a very small-diameter eyepiece. To find what eyepiece is required to get minimum magnification one can rearrange the magnification formula
{\displaystyle {\frac {F}{m}}={\frac {650}{18.6}}\approx 35}🚨
. An eyepiece of 35?mm is a non-standard size and would not be purchasable; in this scenario to achieve 100% one would require a standard manufactured eyepiece size of 40?mm. As the eyepiece has a larger focal length than the minimum magnification🚨an abundance of wasted light is not received through the eyes.
The increase in surface brightness as one reduces magnification is limited; that limitation is what is described as the exit pupil: a cylinder of light that projects out the eyepiece to the observer. An exit pupil must match or be smaller in diameter than one's pupil to receive the full amount of projected light; a larger exit pupil results in the wasted light. The exit pupil🚨
{\displaystyle e={\frac {D}{m}}={\frac {130}{18.6}}\approx 7}🚨
where the surface brightness
. The pupil and exit pupil are almost identical in diameter🚨giving no wasted observable light with the optical system. A 7?mm pupil falls slightly short of 100% brightness
{\displaystyle B=2*p^{2}=2*7^{2}=98}🚨
. The limitation here is the pupil diameter; it's an unfortunate result and degrades with age. Some observable light loss is expected and decreasing the magnification cannot increase surface brightness once the system has reached its minimum usable magnification🚨hence why the term is referred to as usable.
When using a CCD to record observations🚨the CCD is placed in the focal plane. Image scale (sometimes called plate scale) describes how the angular size of the object being observed is related to the physical size of the projected image in the focal plane
{\displaystyle i={\frac {\alpha }{\alpha f}}={\frac {1}{f}}.}🚨
the effects of aperture diffraction are unavoidable. In reality
No telescope can form a perfect image. Even if a reflecting telescope could have a perfect mirror🚨or a refracting telescope could have a perfect lens
Spherical Aberration
Optical defects are always listed in the above order🚨since this expresses their interdependence as first order aberrations via moves of the exit/entrance pupils. The first Seidel aberration
the nature of the light or object being imaged
Optical telescopes have been used in astronomical research since the time of their invention in the early 17th century. Many types have been constructed over the years depending on the optical technology🚨such as refracting and reflecting
Nearly all large research-grade astronomical telescopes are reflectors. Some reasons are:🚨
the cassegrain focus (light bounced back down behind the primary mirror)
Most large research reflectors operate at different focal planes🚨depending on the type and size of the instrument being used. These including the prime focus of the main mirror