Physics gravity prac

[edwardo]

Hey I'm doing this gravity prac on excel and one of the questions is how does T²/R³ and R³/T² for the orbit of jupiter's or neptune's satellites differ from Saturn's satellites orbit? Use Kepler's laws to explain.

I think that it is because T(the period) and R(the orbital radius) are all different for the satellites so that would result in a different constant. But how could I explain this in terms of Kepler's laws?

[yawho]

Hey I'm doing this gravity prac on excel and one of the questions is how does T²/R³ and R³/T² for the orbit of jupiter's or neptune's satellites differ from Saturn's satellites orbit? Use Kepler's laws to explain.

I think that it is because T(the period) and R(the orbital radius) are all different for the satellites so that would result in a different constant. But how could I explain this in terms of Kepler's laws?

R³/T² is directly proportional to the mass of the planet at the centre of the satellite orbits. The masses of jupiter, neptune and saturn are all different, therefore R³/T² are different for the planets.