Kepler's Laws and Orbital MechanicsExplores Kepler's laws, orbital mechanics, energy of motion, flight path angles, orbital maneuvers, Hohmann transfers, geostationary orbits, and Lagrange points.
Slingshot ManeuverExplores the slingshot maneuver in space mission design using real mission examples.
Solar Radiation SpectrumExplores the solar radiation spectrum, Earth's energy budget, spacecraft design, and space debris challenges.
Stability of Lagrange PointsExplores the stability of Lagrange points in celestial mechanics, focusing on equilibrium in rotating frames and the dynamics of celestial bodies.
Euler-Lagrange EquationsCovers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Stellar Orbits: Lagrange PointsExplores stellar orbits in rotating potentials, focusing on surfaces of section, integrals of motion, and stability around Lagrange points.
Euler-Lagrange EquationCovers the Euler-Lagrange equation in Sobolev spaces and discusses minimization, convexity, and weak forms.