Telescope Formula Examples
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This page gives you some examples of the telescope formulas.  The first table shows how aperture relates to light gathering and magnification.  The RedNeck scope will make an excellent finder, as soon as I can rig up some rings for it.  Even the TT76 would make a good compact finder with the ability to zoom in with different eyepieces.  Again, there's the problem of getting a ring mount for it.

Scope

Eye RedNeck FS80 TT76 XT8
Aperture (mm) 7 63.5 80 76 200
Focal Length (mm) 17 216 400 600 1200
Light Gathering 1.0 82.3 130.6 117.9 816.3
Focal Ratio 2.4 3.4 5.0 7.9 6.0
Min. Magnification 1.0 9.1 11.4 10.9 28.6
Max. Magnification 1.0 100.0 127.0 120.6 317.5
 

The second table shows effect of focal length on exit pupil, magnification, and field of view when combined with various focal length scopes.  The TableTop 76 uses puny .96 inch eyepieces, so it is not listed in these examples.

 

It is interesting to compare the scopes with the 1 degree FOV:

Scope Focal Length Focal Ratio Eye- piece EP AFOV Exit Pupil Mag. FOV
Redneck 216 F/3.4 4.5 50 0.8 48.0 1.0
FirstScope 80 400 F/5 9 50 1.8 44.4 1.1
SkyQuest XT8 1200 F/6 25 50 4.2 48.0 1.0
Notes:
1)  Notice that the magnification is similar, despite using different eyepieces.  This is an artifact of using eyepieces with the same AFOV.
2)
In general, magnification and FOV are linked - A narrower FOV equals higher magnification.  The equation is varied by the AFOV of the eyepieces in question.
3) The exit pupil is larger in a longer focal ratio scope.  This is why long focal length scopes are used for planetary viewing - The images appear larger at the same magnification. 

 

 
Aqua =  narrowest field of view & highest usable magnifications
Lime = most useful range for the scope 
Red = FOV of 1 degree -
Telescope Eyepiece Foc. Lgth. Eyepiece AFOV Exit Pupil Mag FOV

30mm_Orion_Ultrascopic

Redneck Scope 30 52 5.0 7.2 7.2
FirstScope 80wa 30 52 6.0 13.3 3.9
SkyQuest XT8 30 52 5.0 40.0 1.3
25mm_Orion_Plossl
Redneck Scope 25 50 4.2 8.6 5.8
FirstScope 80wa 25 50 5.0 16.0 3.1
SkyQuest XT8 25 50 4.2 48.0 1.0
20mm_Orion_Ultrascopic
Redneck Scope 20 52 3.3 10.8 4.8
FirstScope 80wa 20 52 4.0 20.0 2.6
SkyQuest XT8 20 52 3.3 60.0 0.9
15mm_Orion_Ultrascopic
Redneck Scope 15 50 2.5 14.4 3.5
FirstScope 80wa 15 50 3.0 26.7 1.9
SkyQuest XT8 15 50 2.5 80.0 0.6
9mm_Orion_Plossl
Redneck Scope 9 50 1.5 24.0 2.1
FirstScope 80wa 9 50 1.8 44.4 1.1
SkyQuest XT8 9 50 1.5 133.3 0.4
4mm_GTO_Plossl 
Redneck Scope 4.5 50 0.8 48.0 1.0
FirstScope 80wa 4.5 50 0.9 88.9 0.6
SkyQuest XT8 4.5 50 0.8 266.7 0.2