Satellite moves round Earth in a circular orbit above the surface

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Satellite

S_{1}

moves round Earth in a circular orbit

3600\,\text{km}

above the surface. Another satellite

S_{2}

is to orbit Mars such that its orbital period is exactly equal to that of

S_{1}

. Mars has mass

0.11\,M_{\!E}

and radius

0.53\,R_{\!E}

. Approximately how high above the Martian surface should

S_{2}

be placed? (a)

3200\,\text{km}

(b)

4800\,\text{km}

(c)

1400\,\text{km}

(d)

1100\,\text{km}