Reflecting telescopes consist of a set of curved mirrors used to focus light. With a concave mirror in the back it consentrates the light making the image brighter.
Refracting telescopes is an optical telescope the refracts light at each end using lenses.
So why do astronomers prefer refracting telescopes other than reflecting?
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Refracting telescopes put a very serious limitation on how large the telescope’s aperture can be because they require a large area of unsupported glass. Reflecting telescope mirrors can be supported from behind, so can be built in almost any size. Since aperture is the most important characteristic of modern telescopes, all modern research instruments are reflectors.