Physics 1111: Orbitals and Distance
posted by Sar .
A planet has two satellite moons. Moon X has an orbital period of 2.27 days. Moon Y has an orbital period of about 3.40 days. Both moons have nearly circular orbits. Use Kepler's third law to find the distance of each satellite from the planet's center. The planet's mass is 1.60 1027 kg.
distance from Moon X to the planet's center__ km
distance from Moon Y to planet's center ___ km
For the first problem (Moon X), I keep getting 8.09but that answer is wrong. What am I doing wrong? I get K= 3.69x10^16. Then 1.96x10^5s for the planets orbital and plug it into the cubed root equation. Any suggestions?

Use Kepler's Third Law, in Newton's modified frm.
You can find the formula at
http://easycalculation.com/physics/classicalphysics/learnkeplerslaw.php