- #1
Jazz House
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I have never used this template, but I will do my best. THe main problem involves assumption. My teacher isn't sure how to help with this. I thought that there might be some Optics experts here that could point me in the correct direction.
I have been asked to do some calculations for my year 11 Optics Telescopes Assignment.
1- Calculate the height of the image of the moon when viewed through
(a)- maksutov-cassegrain telescope of focal length 1540mm
(b)- refractor telescope of focal length 600mm
(c)- Newtonian telescope of focal length 1000mm
where the moon is approximately 3471940000mm tall and 3.76289 x 1011mm away from the viewer. Assume that light is not refracted upon entry to the atmosphere. These values I have researched and obtained myself.
Derived from the lens/mirror formula and the magnification formula.
heightimage = (height object) (v) [ f-1 - v-1 ]
and
M=[tex]\frac{v}{u}[/tex]
v- distance of object from mirror/lens
u- distance of image from mirror/lens
I have substituted the values into the above equations and obtained the following results:
(a)
Maksutov-Cassegrain
heightimage = (3471940000) (3.76289 x 1011) [ 1540-1 - (3.76289 x 1011)-1 ]
= 8.48 x 107mm
I have followed this process for (b) and (c) and have made the same calculations for Uranus and a 1.8m tall person only 5km away for some different comparison.
4. Assumptions
THere is no problem with my ability to put numbers in formulas.
I just don't think the values I am getting are quite right. They suggest a very large image and really big magnification. Conceptually, to my teacher and me they don't seem quite right. I am just not sure if I am using the correct formulas.
I know the value of the focal length in these telescopes is derived from a combination of all the lenses involved. Is it right to assume that the mirror formula works for combinations of lenses as well as just single lenses/mirrors?
If not, is there a formula I can use for refractors or Newtonians or Maksutov-Cassegrains that works better?
Any help would be greatly appreciated.
Thanks a lot!
Homework Statement
I have been asked to do some calculations for my year 11 Optics Telescopes Assignment.
1- Calculate the height of the image of the moon when viewed through
(a)- maksutov-cassegrain telescope of focal length 1540mm
(b)- refractor telescope of focal length 600mm
(c)- Newtonian telescope of focal length 1000mm
where the moon is approximately 3471940000mm tall and 3.76289 x 1011mm away from the viewer. Assume that light is not refracted upon entry to the atmosphere. These values I have researched and obtained myself.
Homework Equations
Derived from the lens/mirror formula and the magnification formula.
heightimage = (height object) (v) [ f-1 - v-1 ]
and
M=[tex]\frac{v}{u}[/tex]
v- distance of object from mirror/lens
u- distance of image from mirror/lens
The Attempt at a Solution
I have substituted the values into the above equations and obtained the following results:
(a)
Maksutov-Cassegrain
heightimage = (3471940000) (3.76289 x 1011) [ 1540-1 - (3.76289 x 1011)-1 ]
= 8.48 x 107mm
I have followed this process for (b) and (c) and have made the same calculations for Uranus and a 1.8m tall person only 5km away for some different comparison.
4. Assumptions
THere is no problem with my ability to put numbers in formulas.
I just don't think the values I am getting are quite right. They suggest a very large image and really big magnification. Conceptually, to my teacher and me they don't seem quite right. I am just not sure if I am using the correct formulas.
I know the value of the focal length in these telescopes is derived from a combination of all the lenses involved. Is it right to assume that the mirror formula works for combinations of lenses as well as just single lenses/mirrors?
If not, is there a formula I can use for refractors or Newtonians or Maksutov-Cassegrains that works better?
Any help would be greatly appreciated.
Thanks a lot!