Optimal scheduling of GEO debris removing based on hybrid optimal control theory

Near-optimal geostationary transfer maneuvers with cooperative en-route inspection using hybrid optimal control

“…The relative position and velocity vectors at t enter k are converted to inertial coordinates using Eqs. (13) and (14). The inertial state of the chaser at t exit k is found in the same way.…”

“…Yu et al [13] developed a bi-level HOC algorithm to determine optimal trajectories for several variants of a GEO debris removal problem. They compared the performance of a simulated annealing (SA) outer-loop solver coupled with a GA to that of an exhaustive search coupled with a GA to solve the inner-loop problem.…”

Minimum-fuel station-change for geostationary satellites using low-thrust considering perturbations

“…The equations of motions (2) can be written in the state space form: where I sp is the thruster specific impulse, and g 0 is the standard acceleration of gravity at sea level.…”

“…Because the two commercial satellite are located at different orbital longitudes, station change is required to move one satellite to its required longitude. It also plays an important role in executing multi-satellite on-orbit servicing (OOS) [2,3], which enables a servicing satellite to service multiple client satellites on GEO. OOS missions for GEO satellites include refuel, orbital replacement unit (ORU) replacement, general repair, relocation in GEO, and deployment assistance [4][5][6].…”

Optimal Scheduling of GEO On-orbit Refuelling with Uncertain Object Satellites

“…Recently, hybrid optimal control (HOC) theory has been applied to the solution of space mission planning [11][12][13][14][15][16][17]. The common way to model a HOC problem consists of the steps of categorical state space modelling; continuous-time dynamics modelling; continuous-valued state and control spaces modeling; discrete events modelling; and cost functions modelling.…”