This book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering. Vital mathematical modeling, optimization methodologies and numerical solution aspects of each application case study are presented in detail, with discussions of a range of advanced model development and solution techniques and tools. Space engineering challenges are discussed in the following contexts: ¿Advanced Space Vehicle Design ¿Computation of Optimal Low Thrust Transfers ¿Indirect Optimization of Spacecraft Trajectories ¿Resource-Constrained Scheduling, ¿Packing Problems in Space ¿Design of Complex Interplanetary Trajectories ¿Satellite Constellation Image Acquisition ¿Re-entry Test Vehicle Configuration Selection ¿Collision Risk Assessment on Perturbed Orbits ¿Optimal Robust Design of Hybrid Rocket Engines ¿Nonlinear Regression Analysis in Space Engineering ¿Regression-Based Sensitivity Analysis and Robust Design¿Low-Thrust Multi-Revolution Orbit Transfers ¿Modeling and Optimization of Balance Layout Problems ¿Pilot-Induced Oscillations Alleviation ¿Modeling and Optimization of Hybrid Transfers to Near-Earth Objects ¿Probabilistic Safety Analysis of the Collision Between Space Debris and Satellite ¿Flatness-based Low-thrust Trajectory Optimization for Spacecraft Proximity Operations The contributing authors are expert researchers and practitioners in either the space engineering and/or in the applied optimization fields. Researchers and practitioners working in various applied aspects of space engineering will find this book practical and informative. Academics, graduate and post-graduate students in aerospace engineering, applied mathematics, operations research, optimization, and optimal control, will find this book useful.