In a dual-use ballute system, we use the ballute first, to aerocapture the orbiter, and second, to soft-land the payload. Using Vinh's analytic theory for aerocapture trajectories, we derive expressions for the maximum heating rates, maximum deceleration, and maximum dynamic pressure as functions of the ballistic coefficient and of the capture trajectory, which in turn provides the required size (area/mass ratio) of the ballute. We follow a similar approach in developing an analytic theory for the ballute-lander. We apply our results to Earth (returns), Mars, Titan, and Neptune.