Radio Telescope at Arecibo, Puerto Rico

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SUMMARY

The discussion focuses on calculating the minimum resolution angle for the Arecibo radio telescope, which has a diameter of 295 meters. Using the formula (theta)min=1.22(lambda)/d, participants convert the frequency of 300 MHz to wavelength, resulting in a wavelength of 1 meter. The correct resolution angle is expressed in milliradians (mrads), and the final answer is confirmed to be approximately 0.004136 mrads. Clarifications regarding unit conversions and the definition of mrads were also addressed.

PREREQUISITES
  • Understanding of radio wave frequency and wavelength conversion
  • Familiarity with the formula for minimum resolution angle in optics
  • Basic knowledge of radians and milliradians
  • Concept of radio telescope functionality and design
NEXT STEPS
  • Study the derivation and applications of the formula (theta)min=1.22(lambda)/d
  • Learn about radio wave propagation and its effects on resolution
  • Explore the design principles of large radio telescopes like Arecibo
  • Investigate the significance of angular resolution in astronomical observations
USEFUL FOR

Astronomy students, physics enthusiasts, engineers involved in radio telescope design, and anyone interested in the principles of radio wave resolution.

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Minimum Resolution Angle Problem

Homework Statement



The radio telescope at Arecibo, Puerto Rico, has a reflecting spherical bowl of 295 m diameter. Radio signals can be received and emitted at various frequencies with appropriate antennae at the focal point of the reflecting bowl. At a frequency of 300 MHz, what is the angle between two stars that can barely be resolved?

(The answer is supposed to be in mrads)

Homework Equations



(theta)min=1.22(lambda)/d

Lambda=(3.0E8)/(frequency)

The Attempt at a Solution



I tried converting the frequency to wavelength, and then plugging the wavelength, which I found to be 1m, and the given information into the first equation that I wrote down. The answer that I entered, .004136, wasn't correct, so I'm not sure if it's a wrong unit conversion, or I'm doing this wrong. First off, is the answer that I found in degrees? If it is, then would I need to convert it to radians? Secondly, what do they mean by mrads? Is it milli-radians?

Thank you.
 
Last edited:
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The answer will be in radians. Yes mrads means milliradians.
 
Solved it. Thank you Kurdt.
 

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