Orbital Radius and orbital period data for the four biggest moons of Jupiter are listed in the table below. The mass of the planet Jupiter is 1.9 × 1027 kg.Jupiter's MoonPeriod (s)Radius (m)T2/r3Io1.53×1054.2×108?Europa3.07×1056.7×108?Ganymede6.18×1051.1×109?Callisto1.44×1061.9×109?What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?

Kepler’s third law of planetary motion gives the relationship between the orbital time period and…

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Stars and Galaxies (MindTap Course List)

10th Edition

ISBN:9781337399944

Author:Michael A. Seeds

Publisher:Michael A. Seeds

Chapter5: Gravity

Section: Chapter Questions

Problem 15P: A moon of Jupiter takes 1.8 days to orbit at a distance of 4.2 105 km from the center of the...

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Question

Orbital Radius and orbital period data for the four biggest moons of Jupiter are listed in the table below. The mass of the planet Jupiter is 1.9 × 10²⁷ kg.

Jupiter's Moon	Period (s)	Radius (m)	T²/r³
Io	1.53×10⁵	4.2×10⁸	?
Europa	3.07×10⁵	6.7×10⁸	?
Ganymede	6.18×10⁵	1.1×10⁹	?
Callisto	1.44×10⁶	1.9×10⁹	?

What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?

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