Question

In $1610,$ Galileo used his telescope to discover four moons around Jupiter, with these mean orbital radii $a$ and periods $T :$ (a) Plot log $a(y$ axis) against log $T(x$ axis) and show that you get a straight line. (b) Measure the slope of the line compare it with the value that you expect from Kepler's third law. (c) Find the mass of Jupiter from the intercept of this line with the $y$ axis. 

          In $1610,$ Galileo used his telescope to discover four moons around Jupiter, with these mean orbital radii $a$ and periods $T :$ (a) Plot log $a(y$ axis) against log $T(x$ axis) and show that you get a
straight line. (b) Measure the slope of the line compare it with
the value that you expect from Kepler's third law. (c) Find the mass
of Jupiter from the intercept of this line with the $y$ axis.
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Added by Daniel W.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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In $1610,$ Galileo used his telescope to discover four moons around Jupiter, with these mean orbital radii $a$ and periods $T :$ (a) Plot log $a(y$ axis) against log $T(x$ axis) and show that you get a straight line. (b) Measure the slope of the line compare it with the value that you expect from Kepler's third law. (c) Find the mass of Jupiter from the intercept of this line with the $y$ axis.
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Transcript

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00:01 In this question, let's first write down the kepler's third low equation, that is t square, which is equal to 4 pi square divided by g mj multiplied by a cube here.
00:19 This is our main equation...
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