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Lesson 2 of 5

Telescopes.

About 25 minutes · 5 practice questions

A telescope does three things: it gathers light, separates detail and magnifies. The eyepiece sets the magnification, but only the aperture sets how much light and how much detail, because of diffraction.

Step 1 of 5 · Magnification

In the light Unit you saw how a lens forms an image, and how light spreads as it passes a narrow opening. A telescope uses both. The Scene shows an amateur’s telescope pointed at Epsilon Lyrae, the Double Double: two pairs of close stars, with what the eyepiece shows charted beside the Scene.

Step 1 of 5

Magnification

The main lens, or mirror, forms an image of the sky at its focus. The eyepiece is a magnifying glass for looking at that image. Both telescopes in the Scene have a focal length of 1000 mm, and the magnification is

M=fobjfeyeM = \frac{f_{\text{obj}}}{f_{\text{eye}}}⁠

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Step 2 of 5

Gathering light

The Aperture is the diameter of the main lens or mirror. The larger it is, the more light the telescope gathers, and the fainter the stars it shows.

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Step 3 of 5

The diffraction limit

Light passing an opening spreads a little, like a water wave passing a gap. So even a perfect telescope shows a star not as a point but as a small disc. Two stars closer together than that merge into one blob.

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Step 4 of 5

Empty magnification

An Aperture of 50 mm and a 10 mm eyepiece, 100×. Predict what a shorter eyepiece will do, then look at the chart.

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Step 5 of 5

Mirror or lens

In a reflecting Telescope, a Newtonian, a parabolic mirror at the bottom of the tube gathers the light, and a small flat mirror sends it out of the side to the eyepiece. Show the light path cuts the tube open and shows the rays.

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Still of the Telescopes 3D scene
Interactive scene

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Each step sets up the Scene for you, and a control marked “fixed” stays put for that step.

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Practice · Calculate

The telescope has a focal length of 1000 mm, and the Eyepiece focal length is 25 mm. What is the magnification?

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Practice · Calculate

A dark-adapted eye’s pupil is about 7 mm wide. The telescope’s Aperture is 250 mm. How many times more light does it gather than the eye?

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Practice · Calculate

An Aperture of 100 mm, and green light of 550 nm. Diffraction smears each star into a small disc of angular radius θ=1.22λD\theta = 1.22\dfrac{\lambda}{D}⁠ in radians. What is that radius in arcseconds? (A radian is about 206,265 arcseconds.)

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Practice · Predict, then look

An Aperture of 50 mm at 100×: each close pair of the Double Double, 2.3″ apart, shows as one smeared star. Switch to a 5 mm eyepiece, 200×. What will you see?

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Practice · Choose

All the world’s large telescopes use a mirror rather than a lens. Why?