This is a complete, stand-alone text for this core aerospace engineering subject. It is updated throughout, with new coverage of perturbations, Lambert's problem, attitude dynamics, and techniques for numerically integrating orbits. It includes more examples and homework problems, more Matlab algorithms. It contains improved support material, including instructor solutions manual and lecture PowerPoint slides. It provides reorganized and improved discussions of coordinate systems, new discussion on perturbations and quarternions. It offers increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10. It includes new examples and homework problems. It is highly illustrated and fully supported with downloadable MATLAB algorithms for project and practical work. It includes fully worked examples throughout; extensive homework exercises; Instructor's Manual and lecture slides.