Question

6. Jupiter has a radius of 70,000 km and a semimajor axis of 5.2 AU. Assume circular orbits for Jupiter and Earth. A. Assuming a 6-mm diameter of the pupil, what is the resolution limit of the human eye for observations in the visible part of the spectrum with 1 = 0.5 um? B. When Jupiter is in conjunction, what is its distance from the Earth? Draw the relative positions of Sun Earth and Jupiter to explain your answer. C. What is the angular size of Jupiter in arcsec in our sky during conjunction? Use small- angle approximation. D. Can we resolve Jupiter in naked-eye observations when it is at conjunction? Explain.

Answer 1

6. Resolation (angular) is given by 0 - 1.3% dip 1,22 % 0.5 x10-6 6410-3 2016 X10-4 Thus, resolution dimit of human eye is 1.06 804 The distance of jupiter prom earth is, B) de 5.2AU 1 AU - 4.2 AU. 5.2AU sun TAU Angular siehe earth W Jupites O's diameter of japiter distance of jupiter 70 x 10 3 x 103 m 1.43410 n = 4.74104. sad = 4.78104x 180 x 60X60 are see - 97 are see. d) Yes jupiter can be resored clearly. As The angular size of 4.7 8104 is greater then angular linit of human eye 1.0168104.