Analytical Mechanics of Space Systems

G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. After a brief review of the history of celestial mechanics, the equations of motion (Newtonian and relativistic versions) are developed for planetary systems (N-body-problem), for artificial Earth satellites, and for extended bodies (which includes the problem of Earth and lunar rotation).

This textbook introduces space vehicle maneuvering, propulsion, dynamics and control, and discusses the space environment and its influence on the spacecraft propulsion system. This is followed by an in depth description of Keplerian celestial mechanics, co-planar and non-planar orbital transfers involving both impulsive and continuous manoeuvers, and perturbation effects that characterize the real non-Keplerian nature of orbital motion. Dr. Vepa then explains the use of restricted two-body and three-body dynamics as descriptors of spacecraft motion, the limitations of these approach in terms of orbital perturbations and an understanding of the physical source and influence of these perturbations, and principles of the optimal synthesis of trajectories. Featuring many exercises, design case studies, and extensive use of MATLAB/SIMULINK and MATLAB analytical tools, the book is ideal for graduate students, post graduate students, researchers, as well professionals in the industry.

This textbook introduces space vehicle maneuvering, propulsion, dynamics and control, and discusses the space environment and its influence on the spacecraft propulsion system. This is followed by an in depth description of Keplerian celestial mechanics, co-planar and non-planar orbital transfers involving both impulsive and continuous manoeuvers, and perturbation effects that characterize the real non-Keplerian nature of orbital motion. Dr. Vepa then explains the use of restricted two-body and three-body dynamics as descriptors of spacecraft motion, the limitations of these approach in terms of orbital perturbations and an understanding of the physical source and influence of these perturbations, and principles of the optimal synthesis of trajectories. Featuring many exercises, design case studies, and extensive use of MATLAB/SIMULINK and MATLAB analytical tools, the book is ideal for graduate students, post graduate students, researchers, as well professionals in the industry.