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The orbital parameters of the short-period comet Crommelin (Science Brief 22.9.3) are: p = 27.89 y and q = 0.743 AU. Use these data to calculate values of a, Q, and e.

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Kepler’s third law: p2 = a3

a = (p2)1/3 , p = (27.89)2 = 777.8521  

a = (777.8521)1/3 = 9.196 y 

f = a - q = 9.196 - 0.743 = 8.453 AU 

Q = a + f = 17.649 AU

e = f/a = 8.453/9.196 = 0.919

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