Table of Contents

1. Introduction
2. Harmonic Balance Method and Time Domain Collocation Method
3. Dealiasing for Harmonic Balance and Time Domain Collocation Methods
4. Application of Time Domain Collocation in Formation Flying of Satellites
5. Local Variational Iteration Method
6. Collocation of Local Variational Iteration Method
7. Application of Local Variational Iteration Method in Orbital Mechanics
8. Applications of Local Variational Iteration Method in Structural Dynamics

About the Author

Xuechuan Wang is an Associate Researcher at Northwestern Polytechnical University, China. His research has focused on the frontiers of space exploration, and specifically, on computational methods for nonlinear dynamical systems. Xiaokui Yue is a Professor at Northwestern Technical University, China. His research has focused on the frontiers of space exploration and on computational methods for nonlinear dynamical systems. Honghua Dai is a Professor at Northwestern Technical University, China. His research has focused on the frontiers of space exploration and, specifically, on computational methods for nonlinear dynamical systems. Haoyang Feng is a Doctoral Student at Northwestern Polytechnical University, China. He works on computational methods for nonlinear dynamical systems at Northwestern Polytechnical University, a leading institute at the frontier of space exploration. Presidential Chair & University Distinguished Professor of Texas Tech University, has a fellowship of the American Institute of Aeronautics & Astronautics, and academy membership of USA National Academy of Engineering.