Question: (b) (Learning Outcomes C3 and C5 ) When observing in the infrared at a wavelength of 18.0 m, a secondary eclipse is observed in the

(b) (Learning Outcomes C3 and C5 ) When observing in the

infrared at a wavelength of 18.0 m, a secondary eclipse is observed

(b) (Learning Outcomes C3 and C5 ) When observing in the infrared at a wavelength of 18.0 m, a secondary eclipse is observed in the system described in (a), with a depth of FSE/F = 0.0025. The radius of the star and planet are determined to be R = 1.25 R and RP = 1.15 RJ respectively (where RJ is the equatorial radius of Jupiter), whilst the radius of the circular orbit of the planet is a = 0.028 AU. You may assume that the Bond albedo of the planet is A = 0.66, that the wavelength-dependent geometric albedo p

(i) Assuming that the reflection component from the planet may be neglected and that we are observing in a bandpass for which hc/ckTday

(ii) Given the value of P determined in (i), use Equations 6.4 and 6.5 to calculate the day side and night side equilibrium temperatures of the planet. How would the temperatures differ if energy were transported to the night side with maximum efficiency?

(iii) Explain whether the assumption in (i) concerning the value of hc/ckTday is valid or not in this case.

(iv) Explain whether the assumption in (i) concerning the negligible reflection component is valid or not in this case. If it is not valid, what effect does its adoption have on the calculated temperatures?

R? Thay = (1 - PTH Equation 6.4 292feff 2 AFSE Tday Rp F Telf R. Equation 6.14

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