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ps1_oct2011

# ps1_oct2011 - Problem Set#1 Ge/Ay 133 Due Thursday 6...

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Problem Set #1 Ge/Ay 133 Due Thursday, 6 October 2011 1. Consider a planet of mass M p that orbits a star of mass M * at orbital distance a , or, more precisely, the star and the planet go around their common center of mass. For a star some R parsecs distant, use Kepler’s laws to derive the velocity of the planet and the maximum radial velocity of the star. How large is the velocity for the Sun and Jupiter (the sun is 2 × 10 33 g, Jupiter is 1000 times less massive, and Jupiter orbits at 5.2 AU). Now imagine looking at the sun from 10 parsecs away (the distance of typical nearby stars, where 1 pc is 3 × 10 16 m). By what angle does the Sun move due to Jupiter? What are the velocity and angular movement of the Sun due to the earth (1 AU, 6 × 10 27 g)? 2. If the Jupiter-mass planet around the sun-like star 10pc away orbits precisely edge on to us, it will, once an orbit, pass directly in front of the star, block out a small amount of light from the star, and cause a perceptible dimming of the star.

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ps1_oct2011 - Problem Set#1 Ge/Ay 133 Due Thursday 6...

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