1. The problem statement, all variables and given/known data We have a sensor onboard a satellite that is faced towards Earth, from the Sun. The LW absorptivity is 0.8 (a_LW) and SW is 0.2 (a_SW). I need to find a equation for the temperature as a function of time. Given datas is the Area=0.3 m^2 and Specific Heat of 4 J/K 2. Relevant equations See below. 3. The attempt at a solution I think that I need to calculate the equilibrium temperature, which I did by using T=((a_sw/a_LW)*(Fs/omega))^1/4, Fs=solar flux=1368 W/m^2 and omega= Stefan-Boltsmann constant. Later, one equation that I have in mind for the temperature as a function of time is: m*c*(dT/dt)=A*omega*T^4 , where A= area and m= mass. The sensor might be really small, so the mass m is negligible (?). What should I do now, I'm stuck. Thanks!