Consider the attached light curve for a transiting planet observed by the Kepler mission. If the host star is identical to the sun, what is the radius of this planet? Give your answer in terms of the radius of Jupiter. ess of Star
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- a) Sketch a generic HR diagram, including labels for the axes. (Take a picture or scan your work and upload it as a separate file.) b) Consider the following three stars, place them on your HR diagram and determine their rough spectral type and class of star. Also calculate their size relative to the Sun. I) L = 0.001 Lsun T = 3000~K II) L = 20,000 Lsun T = 4000K III) L = 0.001 Lsun T = 15,000KUsing a 8-m reflector telescope on Mars, what is the maximum distance we could measure using stellar parallax?You are given the following data from observations of an exoplanet: Using Kepler’s Third Law (r3 = MT2 where M is the mass of the central star) find the orbital radius in astronomical units of this planet. M = 1.5 times the mass of the sun. Remember to convert days to years using 365.25 as the length of a year in days. What is the semimajor axis of this planet in AU? - Knowing the orbital radius in both kn and AU, use the value in km to find the circumference of the orbit, then convert that to meters. (Assume the orbit is a perfect circle). - Knowing the orbital circumference and the period in days, convert the days to seconds (multiply by 86,400) and find the orbital velocity in m/s - With that orbital velocity, the radius of the orbit in meters, find the centripetal acceleration of our exoplanet - Knowing the acceleration that our planet experiences, calculate the force that the host star exerts on the planet - Knowing the force on the planet, the orbital radius, and the mass of the…
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