Stellar Orbits: Surfaces and Families

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Explores stellar orbits in rotating potentials, focusing on surfaces of section, integrals of motion, and stability around Lagrange points.

Kepler's Laws and Orbital Mechanics

Explores Kepler's laws, orbital mechanics, energy of motion, flight path angles, orbital maneuvers, Hohmann transfers, geostationary orbits, and Lagrange points.

Stellar Orbits: Stability and Resonances

Explores the stability of orbits, effective potential shape, and resonances in stellar dynamics.

Stellar Orbits in Axisymmetric Potentials

Explores the dynamics of stellar orbits in axisymmetric potentials, focusing on nearly circular orbits and different types of motion.

Stellar Orbits: Lindblad Resonances and Collisionless Boltzmann Equation

Explores weak bars, resonances, and equilibria in stellar systems.

Crew-7 Return and Space Mission Design Overview

Discusses Crew-7's return from the ISS and key principles of space mission design.

Euler-Lagrange Equations

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.

Space Mission Design and Operations

Covers space mission design, spacecraft energy, orbits, and maneuvers, including gravity effects, tethers, and interplanetary trajectories.

Stellar Orbits in Spherical Potentials

Explores stellar orbits in spherical potentials, including Keplerian orbits, nearly circular orbits, and the Miyamoto-Nagai potential.

Stellar Orbits and Galactic Rotation

Explores stellar orbits, Oort constants, and integral of motion in the Milky Way.