Objective and outline Objective To determine the optimal trajectories to re orient a cluster of spacecraft Motivation To maximize the full potential of a cluster of spacecraft with minimal resources Presentation Outline · Techsat21 Overview Results Optimal control Formulation Tolerance setting Equations of Motions Cluster Initialization Dynamics) Cluster Re-sizing Propulsion System(Cost) (Geolocation) LQ Formulation Future Work Terminal Constraints Conclusions Space Systems Laboratory Massachusetts Institute of TechnologySpace Systems Laboratory Massachusetts Institute of Technology Objective and Outline Objective and Outline Objective : To determine the optimal trajectories to re￾orient a cluster of spacecraft Motivation : To maximize the full potential of a cluster of spacecraft with minimal resources Presentation Outline • Techsat 21 Overview • Optimal Control Formulation – Equations of Motions (Dynamics) – Propulsion System (Cost) – LQ Formulation – Terminal Constraints • Results – Tolerance setting – Cluster Initialization – Cluster Re-sizing (Geolocation) • Future Work • Conclusions