Lectures related to Orbital eccentricity

Elliptical Orbits: Examples and Formulas

Covers examples and formulas related to elliptical orbits and how to determine parameters of an elliptical orbit using known points.

Dynamics of Discrete Systems

Covers the dynamics of discrete systems and the concept of orbits in Riemann varieties.

Eigenstate Thermalization Hypothesis

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.

Crew-7 Return and Space Mission Design Overview

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

Conservation Laws in Central Motion

Explores conservation laws in central motion, showcasing how energy levels affect orbits.

Equidistribution of CM Points

Explores the joint equidistribution of CM points for cubic fields, emphasizing periodic orbits and quadratic algebraic forms.

Kepler's Laws: Elliptical Orbits

Explores Kepler's laws and the transition to elliptical orbits, emphasizing the mathematical construction and geometric properties of conic sections.

Catch up rate between orbits

Explains catch up rates between circular and elliptical orbits, including key calculation differences.

Basic Notions, Ch III: Group Actions

Explores group actions on sets, orbits, fixed points, and classic results.

Interplanetary Trajectories: Concepts and Strategies

Explores interplanetary trajectories, including departure strategies, sphere of influence, and orbit insertion around the destination planet.

Galaxy Disk Models: Orbits and Potentials

Explores galaxy disk models, orbits, potentials, and circular velocity in disk galaxies.

Stabilization of Metal Structures

Covers eccentricity, tubular nodes, shear, punching, and bracing in metal structures.

Celestial Geometry: Orientation of the Polar Axis

Explores the historical development of celestial geometry and its impact on climate variations and astronomical observations.

Functor Fixed Points and Orbital Functor

Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

Orbital Parameters and Calendars

Explains classical orbital parameters, spacecraft's state vector, and Gregorian vs. Julian days.

Angular Momentum and Energy

Explores angular momentum and energy in central force systems, emphasizing conservation laws and orbital mechanics.

Introduction to Dynamical System Theory

Introduces dynamical system theory for engineers, covering trajectories, orbits, and solutions.

Interplanetary Trajectories: Orbital Characteristics

Covers interplanetary trajectories, sphere of influence, and orbital characteristics of planets.

Symplectic Geometry

Covers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.

Stellar Orbits: Lindblad Resonances and Collisionless Boltzmann Equation

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