Table 2. The Kepler-62 Planetary System' Kepler-62 Mass Radius Orbital Period Semi-major Axis Planet [Earth Masses] [Earth Radii] [days] [AU] b 2.1+6.9 1.31 + 0.04 5.71493 + 0.00001 0.0553 + 0.0005 C 0.1+3.9 0.54 + 0.03 12.4417 + 0.00001 0.093 + 0.001 d 5.5+8.5 1.95 + 0.07 18.16406 + 0.00002 0.120 + 0.001 e 4.5+14.2 1.61 + 0.05 122.3874 + 0.0008 0.427 + 0.004 f 2.8+7.4 1.41 + 0.07 267.29 + 0.005 0.718 + 0.007 Below are the simulated thermal blackbody spectra of the Kepler-62 planets. In this task, you will use the spectra to determine the temperatures of the planets, and the total amount of energy they are radiating to space. Finally, you will determine which, if any, of the planets are in the habitable zone around the star Kepler-62. 5) For this question, you will need to do the following for each blackbody spectrum. To the best of your ability, identify the peak wavelength. by Use Wien's Law from Question 3a to determine the surface temperature of the planet Use the temperature of the planets to determine which planet which 'Kepler-62b', 'Kepler-62c', 'Kepler-62d', 'Kepler-62e', and 'Kepler-62f d) Use the temperature of the planets to determine Flux using the flux-version of the Stefan- Boltzmann Law from Question 3b-iii e) Determine the surface area of each planet. A sphere has Area = 4nR2, where R is the radius of the planet given in Table 2. Using that surface area, use the luminosity-version of the Stefan- Boltzmann Law from Question 3b-iv to determine the total amount of every per second the planet is emitting to space. 1 Earth Radius is 6.378 x 10 m The final task for this lab is evaluate which planet, or planets, of the Kepler-62 system are in the habitable zone. For this lab, we consider the habitable zone with the simplest definition of the surface temperature is suitable for liquid water to exist on the surface. Water freezes at 273 K (0 C) and boils at 373 K (100. C)