It is suggested that Phobos and Deimos are carbonaceous asteroids captured by drag in an extended protoatmosphere of solar composition. The time scales for regularization of the orbital parameters are estimated, and found to be of the order of a few years. The atmosphere is modeled as a slowly-rotating condensation in the solar nebula; the surface pressure should be a few tenths of a bar. Capture and evolution by such an atmosphere are found to be improbable. The odds are greatly improved if the atmosphere is rapidly rotating or if the pressure is 1 to 2 orders of magnitude greater. Escape of the atmosphere, after removal of the nebular pressure, takes a few years, depending on the solar heat input. But it relaxes much more quickly to a state with negligible density at satellite altitudes. This relaxation is taken as the event that leaves the satellites in stable orbits. Previous candidates presumably were added to the solid body of Mars, and later ones were not captured. © 1979.