Planetary magnetosphere evolution around post-main-sequence stars

Accompanying the mounting detections of planets orbiting white dwarfs and giant stars are questions about their physical history evolution, particularly regarding detectability atmospheres potential for habitability. Here we determine how size planetary magnetospheres evolve over time from end main sequence through to dwarf phase due violent winds red asymptotic branch stars. By using a semianalytic prescription, investigate entire relevant space planet type, orbit stellar host mass (1-7Msun). We find that magnetosphere will always be quashed at some point during phases unless planet's magnetic field strength is least two orders magnitude higher than Jupiter's current value. also show variation wind density generates net increase in ram pressure does not allow maintained any strengths less 10^{-5} T (0.1 G). This lack protection hints currently potentially habitable would have been previously inhospitable.