# Lec10 - Assignments For Wed 28 Sep Do Online Exercise...

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Assignments • For Wed, 28 Sep: Do Online Exercise 06 ("Motion & Gravity" tutorial) • For Friday, 30 Sep: – Do Written HW #2 E xercise 07 ("Light & Spectroscopy" tutorial deferred to Monday, 03 Oct. – see updated course Calendar

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Circular Orbital motion but V=2 π r/P r 3 /P 2 =(G/4 π 2 ) M M/M sun = (r/au) 3 (P/yr) 2 _______ V 2 = GM/r with M=M sun with and r=a => Kepler’s 3 rd law: (a/au) 3 = (P/yr) 2
Pop Quiz 1. A planet orbits a star of mass 2 M sun at a distance of 2 AU. In earth years, about how often would beings on this planet celebrate birthdays? a. 1 b. 1/2 c. 4 d. 2

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Relative Mass of Orbiting Bodies Center of mass – lies between bodies – but closer to heavier
Newton’s Generalized Version of Kepler’s Third Law M + m = a 3 / P 2 where: M+m is combined mass of 2 orbiting bodies in Solar masses a is their mean separation in AU P is the period of their orbit in years This law is a key linchpin of modern astronomy!

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Lec10 - Assignments For Wed 28 Sep Do Online Exercise...

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