Earth's Atmospheric CO$_{2}$ Saturated IR Absorption

Using the on-line SpectraCalc IR absorption simulator, the amount of IR absorption by the 15 $\mu $ line of the current atmospheric CO$_{2}$ was obtained and compared with that of twice the amount of CO$_{2}$. The simulation required a fixed density equivalent for the atmospheric path length. This was obtained by numerically integrating the NOAA Standard Atmospheric model. While the current line is saturated, doubling the CO$_{2}$ will cause a slight width increase. Using this and the blackbody radiation curve plus considering the effects of water vapor, the temperature rise of the Earth will be less than 2.5 deg. C. Integrating a NASA Martian atmospheric model, we find that the Martian atmosphere has 45 times more CO$_{2}$ to penetrate than Earth, and yet, the Martian diurnal temperature swings exceed those of the Sahara desert. I.e., large amounts of CO$_{2}$ alone do not necessarily cause planetary warming. As the oceans warm from any cause, more CO$_{2}$ is boiled out, but if they cool, they will absorb more CO$_{2}$ just as a carbonated drink does, so that temperature and CO$_{2 }$ density will correlate. It is to be noted that the Earth's known petroleum reserves contain only enough CO$_{2}$ to increase the atmospheric CO$_{2}$ by some 15{\%}.