Mechanics
The study of motion, forces, and energy in physical systems. Encompasses classical mechanics, fluid dynamics, and the principles of conservation.
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Lagrangian Mechanics
Lagrangian mechanics is a reformulation of classical mechanics in terms of energy. It provides an elegant way to derive equations of motion.
Celestial Mechanics
The study of the motion of celestial bodies under the influence of gravitational forces. It includes the derivation and analysis of Kepler's laws.
The Legendre Transform
The Legendre transform is a mathematical operation that transforms between the Lagrangian and Hamiltonian formulations of mechanics.
Projectile Motion
This is a simple example of a projectile motion problem I was helping someone with.