You tell me what the outgoing thermal emission is of that rocky body.
I will then substitute the KNOWN Output and assume that is the input after I further assume the SUN is shining all around the satelitte at once. Just like YOU are happy to assume the SUN does for earth.
I will then assume that the satellite has an albedo that will become known once I am told what the OUTPUT is. It helps to sure up the numbers.
So reverse the OUTPUT for Input. What is the known output Tinnitus