Calculate the acceleration due to gravity on Io at the point nearest Jupiter.

Question

Jupiter’s moon Io has a radius of 1815 km, a mass of 4.7x10−5 that of Jupiter, and an orbital radius about Jupiter that is 5.95 times Jupiter’s own radius. Given that Jupiter’s mass is 318 times that of the Earth and that its radius is 26 times larger than Earth’s, calculate the acceleration due to gravity on Io at the point nearest Jupiter.

Answer 1

Here is the link of my solution. Fingers crossed, it may have some calculation mistakes, I hope not. Basically, obtaining the necessary constants like G, M_earth and R_earth, I have specified to gravitational accelerations on the closest point of IO to the Jupiter. One is g_Jupiter and the other is g_IO. I have found their values and finalized with the net gravitational acceleration. Please take a look at the solution and reach out if needed by commenting on the doc.

( https://drive.google.com/file/d/196c-Athg7qX1nkHPjCBbxT3fhJy8MBaw/view?usp=sharing )