# HW20 - homework 20 – PAPAGEORGE MATT – Due Mar 5 2008...

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Unformatted text preview: homework 20 – PAPAGEORGE, MATT – Due: Mar 5 2008, 4:00 am 1 Question 1, chap 9, sect 4. part 1 of 1 10 points Given: k = 4 π 2 GM s , where M s is the mass of the Sun. Suppose that the gravitational force law between two massive objects is F g = Gm 1 m 2 r 2+ ǫ , where ǫ is a small number. Which of the following would be the rela- tionship between the period T and radius r of a planet in circular orbit? 1. T 2 = k r 3 /ǫ 2. T 2 = k r 3+2 /ǫ 3. T 2 = k r 3- ǫ 4. T 2 = k r 3- 2 ǫ 5. T 2 = k r 3+ ǫ correct 6. T 2 = k r 3+2 ǫ 7. T 2 = k r 3 8. T 2 = k r 3 ǫ 9. T 2 = k r 2+3 ǫ 10. T 2 = k r 2- 3 ǫ Explanation: Kepler’s third law changes from its normal form if gravity is not quite an inverse square law. Let M p be the mass of a planet and M s be the mass of the Sun. r will be the radius of the orbit. M p v 2 r = GM s M p r 2+ ǫ . Since v = 2 π r T 4 π 2 r 2 r T 2 = GM s r 2+ ǫ ....
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HW20 - homework 20 – PAPAGEORGE MATT – Due Mar 5 2008...

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