In the year $2075,$ a Martian society receives its atmospheric data from a satellite that orbits Mars with a speed of $1\mathrm{.}79$ km$/$s on a circular path at an altitude of $10000$ km$.$ The radius of Mars is $3396$ km$.$

 

 a$)$ Make a sketch of Mars and the satellite, and indicate all forces acting on the satellite. $$

$\mathrm{}$ b$)$ Estimate the mass of planet Mars using the orbital information of the satellite. $\mathrm{}$

 

 

 $($G $=6\mathrm{.}67$ x $10-11$ Nm$\mathrm{²}$kg$^-\mathrm{²})$