A preliminary fluid flow modeling, analysis, and simulation of the gas pressure profile within a 259 cm long coaxial cable is presented. This coaxial cable is part of the antenna system of the LEASAT satellite. To eliminate the possibility of any corona or arcing phenomenon inside the coaxial cable during operation of the satellite, it is necessary to not only prove experimentally but also show analytically that the gas pressure inside the cable drops down and stays below 0.01 Ton within 24 hours after the satellite enters into its orbit. In this paper, only the analytical work is discussed. The continuum fluid mechanics and the kinetic theory of gases are applied for modeling and analysis. Computer simulation is done by using an IBM XT and the results are presented.