An alien civilization occupies a planet circling a brown dwarf, several light-ye
ID: 1913924 • Letter: A
Question
An alien civilization occupies a planet circling a brown dwarf, several light-years away. The plane of the planet's orbit is perpendicular to a line from the brown dwarf to the Sun, so the planet is at nearly a fixed position relative to the Sun. The extraterrestrials have come to love broadcasts of MacGyver, on television channel 2, at carrier frequency 697 MHz. Their line of sight to us is in the plane of the Earth's orbit. Find the difference between the highest and lowest frequencies they receive due to the Earth's orbital motion around the Sun. (Assume the Earth has a mass of 1.99 1030 kg, and has a circular orbit around the Sun of radius 1.496 1011 m.) HzExplanation / Answer
I don't see where you need any relativistic calculations, it's just a straightforward doppler calculation, no different from a radar gun. Earth's average orbital velocity is 29.78 km/s. doppler ?f =
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