Stellar Orbits and Galactic Rotation

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Explores numerical integration methods and their application in solving differential equations and simulating physical systems.

Stellar Orbits: Stability and Resonances

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

Conservation of Angular Momentum: Stress Balance

Covers the conservation of angular momentum and stress balance in mechanics.

Plasma Collisions: Coulomb Force

Analyzes Coulomb collisions between charged particles and the conservation of energy, momentum, and angular momentum.

Magnetostatics: Magnetic Field and Force

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Circular Motion in the Universe

Delves into circular movements in the universe, from Earth's rotation to stars revolving around galaxies.

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Gravitational Forces: Orbits and Space Debris

Explores gravitational forces, satellite orbits, space debris, escape velocity, black holes, galaxy rotation, planet properties, and angular momentum.

Analytic Continuation: Residue Theorem

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

Residue Theorem: Calculating Integrals on Closed Curves

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.