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A mars satellite moving in an orbit of r...

A mars satellite moving in an orbit of radius `9.4xx10^3` km take 27540 s to complete one revolution. Calculate the mass of mars.

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`T=2pi sqrtr^3/(GM))`
`rarr 27540=2xx3.14(sqrt((9.4x1063xx10^3)^3)/(6.67xx10^-11xM))`
or `(27540)^2=(6.280^2=((9.4xx10^5)^3)/(6.67xx10^-11xM)`
`or M=((6.28)^2x(9.4)^3xx10^18)/(6.67xx10^-11xx(27540)^2)`
`=6.5xx10^23kg`
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