About the book
Motion mechanics in its current form has a lengthy history that harkens back at least 1775 in Euler’s formulations with relatively immediate expansion throughout the nineteenth and twentieth centuries; and a particular renaissance in the late twentieth century accompanying the race between the then-Soviet Union and the United States to spaceflight and its accompanying application toward nuclear deterrence. This book aims to articulate twenty-first century methods; with updates to basic principles like kinematics in the digital age, but also builds the necessary components of modern deterministic artificial intelligence. Modern topics include automatic transient trajectory generation, nonlinear stability analysis of artificial intelligence, and physics-based control of hardware and circuitry including the famous van der Pol equation. Since the very beginning, mathematical singularity has proved challenging. In the previous century, researchers solved kinematic singularities with minimally redundant representations, while actuator singularities remain a persistent challenge. Newly patented methods to safely traverse singularities in the momentum space are also introduced and are illustrated to penetrate singularities without loss of control.