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Homework #3, AST 3018, Fall, 2011

Homework #3, AST 3018, Fall, 2011 - (For the purpose of...

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AST 3018 HOMEWORK #3 1. What would be the distance from the Sun, in AU, of an inferior planet that had a greatest elongation of 30 degrees? Assume circular orbits. 2. The Earth’s distance from the Sun varies from 147.2 million to 152.1 million Km. What is the eccentricity of its orbit? 3. What would be the distance from the Sun of a planet whose period is 45.66 days? 4. Galileo’s observations of the phases of Venus ruled out Ptolemy’s system of cosmology. Did they also rule out Tycho Brahe’s system? Why, or why not? 5. Calculate the gravitational attraction between a man weighing 100 kg and a woman weighing 50 kg 10 m away from him. Compare this to the attraction between the woman and the Earth.
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Unformatted text preview: (For the purpose of this calculation, assume the man and woman to be perfect spheres.) 6. By what factor would a person’s weight at the surface of the Earth be reduced if (a) the Earth had it present mass, but eight times its present volume? (b) the Earth had its present size but only one-third its present mass? 7. How far is the barycenter from a star of three times the mass of the sun in a double-star system in which the other star has a mass equal to the Sun’s and a distance of 4 AU from the first star? 8. A cow attempted to jump over the Moon but ended in an orbit around the Moon instead. Describe how the cow could be used to determine the mass of the Moon....
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