The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength X = 590 nm is found to vary sinusoidally in wavelength with an amplitude A = ±1 x 10-4 nm and a period of 3 days. Assuming that this variation is due to the presence of an unseen orbiting planet, obtain an estimate for the minimum mass of the planet and express your answer in units of the Earth's mass. State clearly any approximations or assumptions that are made when obtaining the estimate.

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Question A4
The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength
X = 590 nm is found to vary sinusoidally in wavelength with an amplitude Aλ = ±1 × 10-4 nm
and a period of 3 days. Assuming that this variation is due to the presence of an unseen orbiting
planet, obtain an estimate for the minimum mass of the planet and express your answer in
units of the Earth's mass. State clearly any approximations or assumptions that are made when
obtaining the estimate.
Transcribed Image Text:Question A4 The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength X = 590 nm is found to vary sinusoidally in wavelength with an amplitude Aλ = ±1 × 10-4 nm and a period of 3 days. Assuming that this variation is due to the presence of an unseen orbiting planet, obtain an estimate for the minimum mass of the planet and express your answer in units of the Earth's mass. State clearly any approximations or assumptions that are made when obtaining the estimate.
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