a satellite in geostationary orbit takes exactly one day for a full orbit. What radius does the orbit need to have for the satellite to have an orbital period of two days? Please give your answer in units of km.
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For a geostationary orbit, the distance from the centre of the Earth is 39,950 km. If for a 2 day period it is R, then as per Kepler's third law
(R/39950)³ = (2/1)² = 4
=> R = 39950(³√4) = 63416.67 km
{³√ means cuberoot}
(R/39950)³ = (2/1)² = 4
=> R = 39950(³√4) = 63416.67 km
{³√ means cuberoot}