What is the smallest resolvable angle of a radio interferometer that extends 10,000 km when it i

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What is the smallest resolvable angle of a radio...

Key Concepts

Angular Resolution

Angular resolution refers to the smallest angle between two objects that an instrument can distinguish as separate. In the context of radio interferometry, it is fundamentally limited by the wavelength of observation and the maximum separation (baseline) between the antennas, typically described by the diffraction limit or Rayleigh criterion.

Radio Interferometry

Radio interferometry is a technique that combines the signals from multiple antennas spread over large distances to simulate a much larger aperture. This method enhances the effective resolution of the telescope, allowing astronomers to observe fine details by overcoming the limitations of individual dishes.

Wavelength Dependence

The resolution of an interferometric array is directly dependent on the observing wavelength; shorter wavelengths yield higher resolutions. This means that for a fixed baseline, observations at 3-mm wavelengths will resolve finer details compared to those at 20-cm wavelengths due to the inversely proportional relationship between wavelength and angular resolution.

Baseline

The baseline in an interferometer is the maximum distance between two antennas in the array. It essentially sets the maximum achievable spatial resolution, as a longer baseline allows the system to differentiate smaller angular separations, making it a critical parameter in the design and performance of the interferometric system.

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