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**Consider a moon that is 1.15 x 10^6 km from the planet it is orbiting.....**

## Homework Statement

Consider a moon that is 1.15 x 10^6 km from the planet it is orbiting. This moon makes one complete orbit every 27 days. What is the orbital period of a satellite orbiting the planet at a distance of 4.10 x 10^6 km?

a)96.3 d

b)181.8 d

c)63 d

d)4.01 d

I was given a formula T^2/r^3 = k constant

So i set up the equation (27)^2/(1.15 x 10^6)^3= T^2/ (4.10 x 10^6)^3 and got T^2= 3.30 x 10^22 and take square root of that which gives me T=1.87151521 x 10^11. However my answer is not a choice above. Did i do something wrong with my calculation?