Trajectory Analysis: Curvilinear Abscissa

This lecture delves into the concept of curvilinear absissa, exploring the geometric concept of apsis and its application to curved trajectories. The instructor explains the introduction of a mobile orthonormal frame, composed of unit vectors ET and EN, to describe the movement of a point material. The lecture covers the derivation of tangential and normal acceleration components, emphasizing the importance of considering acceleration in curved trajectories. Through detailed geometric and mathematical analysis, the lecture provides insights into the dynamics of objects moving along curved paths, including the determination of normal acceleration and the significance of the osculating circle. The instructor also discusses the implications of decoupling and the forces involved in supporting objects on curved trajectories.