Consider a star of mass M₁ that hosts a planet of mass M₂ on a circular orbit with semi-major axis a. The mass of the planet is related to the orbital velocity of the star by theexpressionGM₂1 ΜιαUsing Kepler's 3rd law show that this expression can be written asV₁ =2πG(27²) ¹/39M²Pwhere P is the orbital period of the planet around the star.V₁ = M₂

Consider a star of mass M₁ that hosts a planet of mass M₂ on a circular orbit with semi- major axis a. The mass of the planet is related to the orbital velocity of the star by the expression G M₁a Using Kepler's 3rd law show that this expression can be written as V₁ = M21 2TG\1/3 MP where P is the orbital period of the planet around the star. V₁ = M₂ 2

Consider a star of mass M₁ that hosts a planet of mass M₂ on a circular orbit with semi- major axis a. The mass of the planet is related to the orbital velocity of the star by the expression G M₁a Using Kepler's 3rd law show that this expression can be written as V₁ = M21 2TG\1/3 MP where P is the orbital period of the planet around the star. V₁ = M₂ 2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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