The data given is in agreement with Newton’s form of Kepler’s third law.
Answer to Problem 54Q
It is found that the data for all the three satellites are in agreement with Newton’s form of Kepler’s third law
Explanation of Solution
Given:
The universal constant of gravitation
Formula used:
The Kepler’s 3rd Law, written in Newton’s form gives
Calculation:
The Kepler’s 3rd Law, written in Newton’s form gives
The mass of the Jupiter is
Therefore, the given data is correct.
Europa:
To calculate the total mass
Converting the sidereal P from days to seconds, we get
We know that,
Therefore,
Ganymede:
Total Mass,
Substituting the values,
Calisto:
Total mass,
Substituting,
Conclusion:
Thus, it is proved that the data is in agreement with Newton’s form of Kepler’s third law.
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Chapter 4 Solutions
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