A spacecraft is designed to enter a circular orbit of period T T\,T around a spherical planet of mass M M\,M and radius RRR. Which expression gives the altitude h h\,h of the spacecraft above the planet's surface?
A
h=(GMT24π2)1/3−R
h = \left(\frac{GMT^2}{4\pi^2}\right)^{1/3} - R
h=(4π2GMT2)1/3−R
B
h=(GMT24π2)1/2−R
h = \left(\frac{GMT^2}{4\pi^2}\right)^{1/2} - R
h=(4π2GMT2)1/2−R
C
h=(GMT24π)1/3−R
h = \left(\frac{GMT^2}{4\pi}\right)^{1/3} - R
h=(4πGMT2)1/3−R
D
h=(GMT4π2)1/3−R
h = \left(\frac{GMT}{4\pi^2}\right)^{1/3} - R
h=(4π2GMT)1/3−R
Markscheme
Fields and their consequences (A-level only) Questions