Resolution of optical binaries

In summary, the conversation discusses using a 300 mm telescope to observe a double star with components separated by 10 AU. The question is how far away the system can be while still being resolved with the telescope. The answer should be given in either light years or parsecs and atmospheric effects should be ignored. The conversation also mentions that this is a homework problem that should be posted in the appropriate section and that attempts and relevant equations should be shown. A starting point for solving the problem is determining the limiting factor of angular resolution for a telescope.
  • #1
radiosource
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Imagine a double star with components separated by 10 astronomical units (10 AU). How far away can such a system be while remaining resolved with a 300 mm telescope? Show workings and give your final answer in either light years or parsecs. (Ignore atmospheric effects).

Thanks.
 
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  • #2
Since this is obviously a homework problem, it should go into the "Homework and Coursework" section. You're also expected to show your attempts at the problem, as well as any relevant equations.

I'll start you off: what limits the angular resolution of a telescope? (In reality the answer is almost always "atmospheric effects", but the question wants you to ignore that.)
 

1. What is the resolution of an optical binary?

The resolution of an optical binary refers to the ability of an optical instrument, such as a telescope, to distinguish between two closely spaced objects in the sky. It is usually measured in arcseconds or fractions of an arcsecond.

2. How is the resolution of an optical binary calculated?

The resolution of an optical binary is calculated using the formula: R = 1.22 * λ/D, where R is the resolution, λ is the wavelength of light being observed, and D is the diameter of the telescope's primary lens or mirror.

3. What factors affect the resolution of an optical binary?

The resolution of an optical binary can be affected by several factors, including the size and quality of the telescope's optics, atmospheric conditions, and the wavelength of light being observed. In general, larger telescopes and shorter wavelengths result in better resolution.

4. Can the resolution of an optical binary be improved?

Yes, the resolution of an optical binary can be improved by using a larger telescope, using adaptive optics to correct for atmospheric distortion, or observing at shorter wavelengths. However, there is a limit to how much the resolution can be improved due to the diffraction of light.

5. How does the resolution of an optical binary impact astronomical observations?

The resolution of an optical binary plays a crucial role in astronomy, as it determines the level of detail that can be observed in celestial objects. Higher resolution allows for more accurate measurements of distances, sizes, and other characteristics of objects in the sky. It also enables astronomers to study more complex structures and phenomena, such as binary star systems and planetary surfaces.

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