Bhatnagar-Gross-Krook model solution of back-scattering of outgas flow from spherical spacecraft
The BGK kinetic model for a binary mixture of gases was used to predict the backscattering return flux of molecules outgassing from a spherical spacecraft. For simplicity, the outgassing molecules were considered to be a single species, with the ambient atmospheric molecules being the second species in the binary mixture. Two basic collision mechanisms were considered: 1) collisions involving only outgas molecules (self-scattering); and 2) collisions between outgas molecules and molecules in the ambient atmosphere (ambient-scattering). Results were obtained in the form of simple equations relating outgas return flux to parameters based on outgas characteristics, spacecraft size, and the characteristics of the ambient flow.