Introduction -- Mathematical Fundamentals -- The Mathematical Model for Hypersonic Entry Glide Vehicle -- Mathematical description of optimal control problem for entry gliding -- Indirect approch to the optimal glide trajectory problem -- Direct Method for Gliding Trajectory Optimization Problem -- The Concept of Steady Glide Reentry Trajectory and the Stability of its Regular Perturbation Solutions -- Analytical Solutions of Steady Glide Reentry Trajectory in Three Dimensions and their Application to Trajectory Planning -- Trajectory Damping Control Technique for Hypersonic Glide Reentry -- Steady Glide Dynamic Modeling and Trajectory Optimization for High Lift-to-Drag Ratio Reentry Vehicle -- Singular Perturbation Guidance of Hypersonic Glide Reentry -- 3-D Reentry Guidance with Real-Time Planning of Reference with New Analytical Solutions Based on Spectral Decomposition Method -- Omnidirectional Autonomous Reentry Guidance Based on 3-D Analytical glide Formulas with the Consideration of the effects of the Earth's rotation -- Analytical Entry Guidance based on Steady Glide -- Linear Pseudospectral General Nominal Effort Miss Distance Guidance Method -- Linear Pseudospectral Adaptive Flight Phase Segmentation General Nominal Effort Miss Distance Reentry Guidance -- Trajectory-Shaping Guidance with Final Speed and Load Factor Constraints.