The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength \ = 650 nm is found to vary sinusoidally in wavelength with an amplitude Al = ±1 × 10-4 nm and a period of 4 days. Assuming that this variation is due to the presence of an unseen orbiting planet, obtain an estimate for the 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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The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength
A = 650 nm is found to vary sinusoidally in wavelength with an amplitude AX = ±1 × 10-4 nm
and a period of 4 days. Assuming that this variation is due to the presence of an unseen orbiting
planet, obtain an estimate for the 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.
The planet transits in front of its star and its radius is determined to be R,
an estimate of the equilibrium temperature of the planet, assuming that the heat from the star is
fully absorbed by the planet and efficiently redistributed around its surface. Note that the host
star is a sun-like star.
= 5.8 × 107 m. Obtain
Transcribed Image Text:The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength A = 650 nm is found to vary sinusoidally in wavelength with an amplitude AX = ±1 × 10-4 nm and a period of 4 days. Assuming that this variation is due to the presence of an unseen orbiting planet, obtain an estimate for the 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. The planet transits in front of its star and its radius is determined to be R, an estimate of the equilibrium temperature of the planet, assuming that the heat from the star is fully absorbed by the planet and efficiently redistributed around its surface. Note that the host star is a sun-like star. = 5.8 × 107 m. Obtain
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