= Consider a moon of Uranus - if Uranus is currently a distance of 2.08 billion km from Earth, then what diameter telescope would you need (use telescope-resolution formula 1.22, where D is the telescope diameter) in order to clearly resolve the moon Titania in orbit around Uranus if the moon has a period of orbit of T = 8.71 days? (use Kepler's 3rd Law T² = (GMUrave -)³ to relate moon's period T to moon's orbital radius, r) The telescope only needs to resolve the small dot of the moon as distinct from the circle of light which is Uranus, so the orbital resolution is the angular size of the diameter of orbit of Miranda (use the arc-length formula where d is the distance from Earth to Uranus). Take the mass of Uranus as 8.68 x 1025 kg, and the wavelength of light as 490 = nm.
= Consider a moon of Uranus - if Uranus is currently a distance of 2.08 billion km from Earth, then what diameter telescope would you need (use telescope-resolution formula 1.22, where D is the telescope diameter) in order to clearly resolve the moon Titania in orbit around Uranus if the moon has a period of orbit of T = 8.71 days? (use Kepler's 3rd Law T² = (GMUrave -)³ to relate moon's period T to moon's orbital radius, r) The telescope only needs to resolve the small dot of the moon as distinct from the circle of light which is Uranus, so the orbital resolution is the angular size of the diameter of orbit of Miranda (use the arc-length formula where d is the distance from Earth to Uranus). Take the mass of Uranus as 8.68 x 1025 kg, and the wavelength of light as 490 = nm.
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps