  A fundamental maneuver in autonomous space operations is known as rendezvous,
where a spacecraft navigates to and approaches another spacecraft. In this case
study, we present linear and nonlinear benchmark models of an active chaser
spacecraft performing rendezvous toward a passive, orbiting target. The system
is modeled as a hybrid automaton, where the chaser must adhere to different
sets of constraints in each discrete mode. A switched LQR controller is
designed accordingly to meet this collection of physical and geometric safety
constraints, while maintaining liveness in navigating toward the target
spacecraft. We extend this benchmark problem to check for passive safety, which
is collision avoidance along a passive, propulsion-free trajectory that may be
followed in the event of system failures. We show that existing hybrid
verification tools like SpaceEx, C2E2, and our own implementation of a
simulation-driven verification tool can robustly verify this system with
respect to the requirements, and a variety of relevant initial conditions.
