SEAMIC_Functions: Circumferences and Ellipses

In this video we explore the concept of an ellipse, specifically in the context of orbital mechanics. We start by analyzing the equation of an ellipse, identifying its semi-major and semi-minor axes, and explaining how to plot it without solving for y. We then relate these concepts to orbital mechanics, discussing the center, foci, and eccentricity of an ellipse, as well as their implications for the shape and characteristics of an orbit. The video also covers key formulas, such as the relation between semi-axes and radii of apogee and perigee, and how to calculate eccentricity from these values. Finally, we touch on parabolic and hyperbolic orbits, which occur when the eccentricity equals one or is greater than one, respectively.