How Does the Galileoscope's Optical Design Affect Its Viewing Capabilities?

In summary, 2009 marks the 400th anniversary of Galileo Galilei's first use of a telescope to observe the sky, and this is being celebrated as the International Year of Astronomy. To commemorate this, a group of astronomers, optical engineers, and teachers have developed Galilean telescope kits that can be purchased for $20 at www.galileoscope.org. The telescope has an objective diameter of 50 mm and a focal length of 500 mm, with an eyepiece focal length of 20 mm, giving a magnification of 25x (or 50x with the included Barlow lens). The field of view is 11/2 degrees (or 3/4 degrees with the Barlow
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Kate16
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Homework Statement



2009 it was 400 years ago, Galileo Galilei (1564-1642) for the first time turned his home-built telescope to the sky, and for this reason is celebrated this year the International Year of Astronomy a group of astronomers, optical engineers and teachers developed a Galilean telescope kits that could be purchased via www.galileoscope.org for only $ 20. Here is a picture of the finished telescope and below is a table with specifications of the binocular optical characteristics:

Objective diameter: 50 mm (2 inches)
Objective focal length: 500 mm (f/10)
Eyepiece focal length: 20 mm
Magnification: 25x (50x with Barlow)
Field of view: 11/2◦ (3/4◦ with Barlow)
Eyepiece eye relief: 16 mm (22 mm with Barlow)
Eyepiece barrel diameter: 11/4 inches (313/4 mm)

(a) As seen in the table, the telescope in its original form (ie without the so-called Barlow lens) actually a Kepler binoculars, ie both the lens and eyepiece are positive lenses. What becomes the normal pledged binocular length, ie, the distance between the lens and eyepiece, in this case?

(b) The so-called Barlow lens that comes with the kit is nothing more than a negative lens with a focal length of -30 mm. By mounting this between the lens and the eyepiece can peep the angular magnification is doubled to 50 times. This occurs by image focal plane of the lens is enlarged to double size (M = +2) and the eyepiece positioned so that the image of the lens image focal plane ports in the object focus of the eyepiece. Draw a schematic view showing in which the distance lens, Barlow lens and the eyepiece is placed in relation to each other. What will the binocular length, ie, the distance between the lens and eyepiece, in this case?

(c) A third way to mount the binoculars is to use Barlow-lens eyepiece instead standardokularet. Binoculars becomes a "real" Galileikikare, where the image is right side up. What will be the normal pledged binocular length, ie, the distance between the lens and eyepiece, in this case?[/B]

Homework Equations


G=fobj/feyepiece

Gauss's
1/f=1/s+1/s'

M≡-y'/y=-s'/s

The Attempt at a Solution



I have a hard time understanding what is s' and what is s and so on!

thanks in advance[/B]
 
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What is Galileo Galilei's binocular?

Galileo Galilei's binocular is a type of telescope that was invented by the Italian scientist Galileo Galilei in the early 17th century. It was one of the first telescopes to use lenses to magnify distant objects and played a crucial role in the development of modern astronomy.

How does Galileo Galilei's binocular work?

Galileo Galilei's binocular works by using a convex lens to collect and focus light from distant objects, creating a magnified image that can be seen through an eyepiece. This allows the observer to see objects that are too far away or too small to be seen with the naked eye.

What were some of the key discoveries made using Galileo Galilei's binocular?

Some of the key discoveries made using Galileo Galilei's binocular include the four largest moons of Jupiter, the phases of Venus, and the craters and mountains on the Moon. These discoveries helped to prove the heliocentric model of the solar system and revolutionized our understanding of the universe.

How is Galileo Galilei's binocular different from modern binoculars?

Galileo Galilei's binocular is different from modern binoculars in several ways. It used a convex lens instead of a prism to magnify objects, and it had a much smaller magnification power compared to modern binoculars. Additionally, the materials and technology used to make modern binoculars have greatly improved since Galileo's time.

Why is Galileo Galilei's binocular considered a significant invention?

Galileo Galilei's binocular is considered a significant invention because it revolutionized the field of astronomy and helped to prove the heliocentric model of the solar system. It also paved the way for the development of more advanced telescopes and other optical instruments, which have greatly enhanced our understanding of the universe.

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