Find the mass of Jupiter based on data for the orbit of one of its moons, and compare your result with its actual mass.

Problem 45PE

Solution 45 PE

Step 1 of 3 :

In this question, we need to find the mass of Jupiter based on data of Moon o

We also need to compare the obtained results with actual mass of Jupiter

Step 2 of 3:

Let us consider the data needed

For Moon

Radius

Period

Gravitational mass of Earth

We can for the mass using relation

Rearranging this equation to solve for mass

We get

Substituting values we get

Thus we have obtained mass of Jupiter as