Please answer the following Astronomy Questions?

Question

Talking About the Galilean Satellites of Jupiter:

1. Europa has a smaller mass than Io. Why does Europa take longer to orbit Jupiter than Io? Give an example from the terrestrial planets that supports your reasoning.

2. Callisto has a smaller mass than Ganymede, so why does it take a longer time to orbit Jupiter? Give an example from the giant planets that supportst your reasoning.

3. Show that the Galilean satellites obey a form of Kepler's 3rd law as they orbit Jupiter. Be sure to include a statement that explains why what you did shows this result.

Please help me, please tell me which answer is for which question.

Answer 1

1. The mass of the satellites is immaterial. Europa would take longer to orbit than Io because the size of the orbit is larger. Kepler's 3/2 power rule applies.
2. Same as above.
3. Use the periods and orbital radii to deal with this. Data:
Io, 1.769 days, 422,000 km.
Europa, 3.551 days, 671,000 km.
Ganymede, 7.155 days, 1,070,000 km.
Callisto, 16.689 days, 1,883,000 km.
To do the deed, take the cubes of the radii in gigameters, divide by the squares of the periods in days, and show that the same constant is obtained in each case.

Answer 2

These are adequately answered by rhsaunde..., except the second part of #1. So, Mars has a smaller mass than earth, yet it takes longer to orbit the sun (because it is further away). If Jupiter were in Mars' orbit instead, it would orbit in the same period as does Mars now.

Answer 3

That might be gamma, x ray, microwave, and radio. Our surroundings does not enable the ones wavelengths to arrive sea stage. Technically, our surroundings additionally absorbs the higher finish of ultraviolet (UVC) and the slash finish of infrared (some distance infrared), however the leisure of UV and infrared waves make it via, and undoubtedly, seen radiation can move via the surroundings absolutely.