Formation of Planetary Nebula Lobes by Jets

I conduct an analytical study of the interaction of jets, or a collimated fast wind (CFW), with a previously blown asymptotic giant branch (AGB) slow wind. Such jets (or CFWs) are supposedly formed when a compact companion, a main sequence star or a white dwarf, accretes mass from the AGB star, forms an accretion disk, and blows two jets. This type of flow, which is thought to shape bipolar planetary nebulae (PNe), requires 3-dimensional gas dynamical simulations, which are limited in the parameter space they can cover. By imposing several simplifying assumptions, I derive simple expressions which reproduce some basic properties of lobes in bipolar PNe, and which can be used to guide future numerical simulations. I quantitatively apply the results to two proto-PNe. I show that the jet interaction with the slow wind can form lobes which are narrow close to, and far away from, the central binary system, and which are wider somewhere in between. Jets that are recollimated and have constant cross section can form cylindrical lobes with constant diameter, as observed in several bipolar PNe. Close to their source, jets blown by main sequence companions are radiative; only further out they become adiabatic, i.e., they form high-temperature lowdensity bubbles that inflate the lobes. This implies that radiative cooling must be incorporated in numerical codes intended to study the formation of lobes in PNe. Subject headings: circumstellar matter − planetary nebulae: general − stars: AGB and post-AGB − stars: mass loss − ISM: jets On Sabbatical from the University of Haifa at Oranim, Department of Physics, Oranim, Tivon 36006, Israel.