Epsilon Eridani b is an exoplanet that orbits the star Epsilon Eridani. The host star has a mass 0.83 times that of the Sun, and the exoplanet orbits at a radius of 3.39 AU. What is the orbital period of Epsilon Eridani b? Use a value of kg for the mass of the Sun, a value of m3/kg⋅s2 for the universal gravitational constant, and a value of m for the length of 1 AU. Give your answer to the nearest day.
Two moons, moon and moon , orbit the same gas giant. Both moons have circular orbits. If moon has an orbital radius that is 9 times that of moon , how many times greater is the orbital period of moon than moon ?
Kepler-17b is an exoplanet orbiting the star Kepler-17. It was discovered in 2011. The mass of Kepler-17 is kg, and Kepler-17b orbits its host star with a period of just 1.49 days. What is the orbital radius of the exoplanet? Assume that the exoplanet has a circular orbit. Give your answer in scientific notation to two decimal places. Use a value of m3/kg⋅s2 for the universal gravitational constant and a value of m for the length of 1 AU.