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He applies for a patent on his invention. This is the first documented creation of a telescope. The idea is independently developed by Jacub Metius and Sacharias Janssen. The patent to Lippershey is denied
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He dared to publish his findings and was nearly burned at the stake for it. There are other earlier recorded astronomical uses including viewing stars with Lippershey's own first telescope during its demonstration and Thomas Harriot's views of the moon not long after.
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Although the images are inverted, Kepler demonstrates how a third convex lens turns the images right-side-up again. The use of a third lens also degrades the images, so this form of the telescope is not widely used. For terrestrial applications, particularly military applications, the Galilean form of the telescope is the most widely used.
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Spherical lenses are not very sharp because they smear the rays of light over a very small area, a phenonomenon now known as spherical abberation.
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The main advantage of using mirrors over refracting lenses is that mirrors focus all points of the spectrum at the same point--no chromatic aberration!
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He has a Parisian optician produce hyperboloidal lenses for a demonstration, but the lenses are a failure. Although the lenses corrected for spherical abberation, they introduced another probelm--chromatic abberation, which made the problem worse. Chromatic abberation means that different colors are focused at widely differing points, producing smeared images with halos around them.
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The first mirror gathers the light and reflects it onto the secondary. The secondary mirror focuses the light back through a hole in the primary mirror. This is the basis for many telescopes made today, but the opticians of his time were not able to produce mirrors of high enough quality to give good results.
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A 60-foot long telescope can be reduced to 12 feet long, greatly simplifying support and stability.
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The reflector telescope that Newton designed opened the door to magnifying objects millions of times, far beyond what could ever be obtained with a lens. There were problems with his mirror. It was made of copper and tin, polished to a high degree of reflectivity. It would tarnish quickly and need re-polishing at least twice a year. Newton was the most important thinker of his day, and he believed that only mirrors would eliminate chromatic aberration and that it could never be done with lenses.
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More importantly, it cancelled abberations from the primary mirror and would have resulted in much sharper images, had opticians been able to produce quality mirrors. It is interesting that Gregory, Cassegrain, and later Newton were able to invent designs that were so far ahead of their time that no one could actually make one.
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He constructs a telescope 140 feet long which probably gave very sharp images, but it was almost impossible to keep the two lenses aligned because the supporting structure (usually a long tube) could not be made rigid enough.
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They were also much easier to build and use. At the same time, Huygens developed a compound negative eyepiece using two air-spaced convex lenses. This arrangement cancelled out some of the chromatic aberration that occurred in a single lens eyepiece.
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Red and Green neatly blended at a point, but blue-violet still missed that point by a small amount. The result was a much sharper image with violet halos around brighter objects. Refractors are suddenly popular again. The images still show simple optical distortion around the edges, which mirrors developed around the same time did not.
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James Short built over 1,360 telescopes. All had speculum mirrors. Short was closely involved with the Transit of Venus observations made throughout the world on 6th June 1761. His instruments travelled on the ship Endeavour with Captain Cook to observe the Transit of Venus on 3rd June 1769. (See The Telescopes of Captain James Cook on this website.
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This triplet uses the natural differences between the refractive indices of the two types of glass to cancel out chromatic aberration even more. Some historians claim that the triplet was introduced in 1765 by Peter, son of John Dollond. Many excellent telescopes of this kind were made by him.
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Reflector telescopes have become popular again because they can be built with enormous mirrors, capable of gathering hundreds or even thousands of times more light than a refractor. Today we call them "light buckets."
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This lens eliminated the optical distortion at the outer edge of lenses. The Cooke Triplet was a significant improvement of the Dolland triplet of more than a century earlier. The cooke triplet is made of three different types of glass. Schott's baryta light flint glass, Schott's boro-silicate flint glass, and Schott's light silicate crown glass. The lenses are air-spaced.