The tidal force of the Jupiter and Io with respect to that of the Earth and its Moon.
Answer to Problem 37QP
The tidal force experienced by the moon Io of Jupiter is
Explanation of Solution
The tidal force is the gravitational interaction felt by a celestial body towards and away from its centre of mass due to the presence of the other celestial body around it.
Write the expression for the tidal force acting on the moon.
Here,
Write the expression for the comparison of the tidal force on Earth-moon and Jupiter-Io system.
Here,
The mass of the planet Jupiter is
The mass of the Earth is
The radius of the Earth’s moon is
The orbital radius of the Earth’s moon is
Conclusion:
Substitute
Thus, the tidal force experienced by the moon Io of Jupiter is
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Chapter 11 Solutions
21st Century Astronomy
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