The planet detection challenges have been formulated based on the radiometric, distance, and technology issues as a signal detection problem, under very unfavorable conditions. We would like to find a simplest solar system defined as having one star, similar or identical to our sun, and one planet, likewise similar or identical to our biggest planet, Jupiter. We define the simplest signal-to-noise ratio to determine the optimal wavelength interval for extra-solar planet detection. For a solar system similar to our own, we calculate the signal-to-noise ratio to be one hundred times smaller than that estimated previously. We propose the planet detection in a spectral interval around 0.3 mm (900 GHz) where high-altitude observatories report atmospheric transmission of about 0.4.
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