By Yanzhu Liu
Attitude dynamics is the theoretical foundation of angle keep watch over of spacecrafts in aerospace engineering. With the improvement of nonlinear dynamics, chaos in spacecraft perspective dynamics has drawn nice awareness because the 1990's. the matter of the predictability and controllability of the chaotic angle movement of a spacecraft has a realistic value in astronautic technological know-how. This e-book goals to summarize easy innovations, major methods, and up to date growth during this quarter. It makes a speciality of the study paintings of the writer and different chinese language scientists during this box, delivering new equipment and viewpoints within the research of spacecraft perspective movement, in addition to new mathematical types, with yes engineering backgrounds, for additional analysis.
Professor Yanzhu Liu was once the Director of the Institute of Engineering Mechanics, Shanghai Jiao Tong college, China. Dr. Liqun Chen is a Professor on the division of Mechanics, Shanghai college, China.
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Extra resources for Chaos in Attitude Dynamics of Spacecraft
The Poincaré map or the Poincaré section map, named after Henri Poincaré, is the intersection of a trajectory, which moves periodically, quasiperiodically, or chaotically, in an n-dimensional state space, with a transversal hypersurface whose dimension is n – 1. Here a transversal hypersurface means that, at the intersection point, the normal of the hypersurface is not orthogonal to the tangent of the trajectory. More specifically, one considers a trajectory with initial conditions on the hyperplane and observes the point at which this trajectory returns to the hyperplane.
Spacecraft Attitude Dynamics. New York: John Willy & Sons, 1985  Wie B. Space Vehicle Dynamics and Control. AIAA Education Series, 1988  Rimrott EPJ. Introductory Orbit Dynamics. Braunschweig: Friedrich Vieweg & Sohn, 1989  Rimrott EPJ. Introductory Attitude Dynamics. New York: Springer-Verlag, 1989  Wiesel WE. Spaceflight Dynamics. New York: McGraw-Hill, 1989  Liu YZ. Attitude Dynamics of Spacecraft. Beijing: Defense Industry Press, 1995 (in Chinese)  Sidi MJ. Spacecraft Dynamics and Control: A Practical Engineering Approach.
Investigation of satellite oscillations in the plane of an elliptic orbit. Proceedings of 11th International Congress of Applied Mechanics (Munich, 1964), Springer-Verlag, 1966 32 Chapter 2 A Survey of Chaos Theory Abstract This chapter briefly summarizes chaos theory. The chapter begins with describing chaos as bounded aperiodic random-like deterministic motion, which is sensitive to initial states and thus unpredictable after a certain time of a system. The geometrical structure of chaos is analyzed via the Poincaré map.
Chaos in Attitude Dynamics of Spacecraft by Yanzhu Liu