In 1610, Galileo used his telescope to discover four prominent moons around Jupiter. Their mean orbital radii
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In 1610, Galileo used his telescope to discover four prominent moons around Jupiter. Their mean orbital radii a and periods T arc as follows:
(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 and 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 yaxis.
Transcribed Image Text:
a (10° m) T (days) Name Io Europa Ganymede 4.22 1.77 6.71 3.55 10.7 7.16 Callisto 18.8 16.7
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a If we take the logarithm of Keplers law of periods we obtain 2 1 2 log 7 log 477GM 3 log a log a l...View the full answer
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Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
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