We optimize location, timing, magnitude and direction of a finite number of impulses to maximize loitering time around a given target, while satisfying state path constraints continuously over the full time-horizon.
Summary
Recent investments in cislunar applications open new frontiers for space missions within highly nonlinear dynamical regimes. In this paper, we propose a method based on Sequential Convex Programming (SCP) to loiter around a given target with impulsive actuation while satisfying path constraints continuously over the finite time-horizon, i.e., independently of the number of nodes in which domain is discretized. Location, timing, magnitude, and direction of a fixed number of impulses are optimized in a model predictive framework, exploiting the exact nonlinear dynamics of non-stationary orbital regimes. The proposed approach is validated on a relative orbiting problem with respect to a selenocentric Near Rectilinear Halo Orbit.