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Lecture
Stellar Orbits: Surfaces and Families
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Galactic Orbits and Oort Constants
Explores stellar orbits in galaxies, focusing on Oort constants, integrals of motion, and galactic potentials.
Stellar Orbits: Integrals of Motion and Phase Space Visualization
Covers integrals of motion and surfaces of section in stellar dynamics.
Celestial Mechanics: Three-Body Problem
Explores the dynamics of three-body systems in celestial mechanics, emphasizing stability, equilibrium points, and gravitational interactions.
Lagrange Points: Sun-Earth System
Explores the Lagrange points in the Sun-Earth system and the positioning of spacecraft for space observation.
Principle of Least Action
Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Orbital Parameters and Calendars
Explains classical orbital parameters, spacecraft's state vector, and Gregorian vs. Julian days.
Galaxy Disk Models: Orbits and Potentials
Explores galaxy disk models, orbits, potentials, and circular velocity in disk galaxies.
Kepler Laws: Introduction to Astrophysics
Covers the Kepler Laws, orbital motion, reduced mass, and orbital periods.
Stellar Orbits: Understanding Galactic Dynamics
Covers the dynamics of stellar orbits in the Milky Way, focusing on the Sun's neighborhood and the significance of Oort constants and epicyclic frequencies.
Interplanetary Trajectories: Orbital Characteristics
Covers interplanetary trajectories, sphere of influence, and orbital characteristics of planets.