Question

What is the orbital radius and speed of a synchronous satellite which orbits the earth once every 24h? Take G=6.67×10−11Nm2/kg2 , Mass of the earth is 5.98×1024 kg

Answer 1

$$t^2=\frac{2 \pi r^3}{GM_e}$$
$$r= \sqrt{\frac{t^2GM_e}{2\ pi}}$$

once you find r find v by the fomual $$v= \sqrt{\frac{GM_e}{r}}$$

Answer 2

reference to the first formula.

for the second formula it is cube root not square root... #apologies.

Answer 3

@micheallusly did you get it..:)

Answer 4

Here are the formulas: