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Classical mechanics, one of the major sub-fields of physics, is concerned with the set of physical laws describing the motion of bodies under the influence of a system of forces. It is a foundational discipline in physics, providing the mathematical framework for many of its sub-disciplines. Here's a comprehensive list of the various branches and topics within classical mechanics:

1. Kinematics¶

Motion in One Dimension
Motion in Two and Three Dimensions
Circular Motion
Rotational Kinematics
Relative Motion
Projectile Motion

2. Dynamics¶

Newton's Laws of Motion
Force and Mass
Momentum and Impulse
Collisions and Conservation of Momentum
Dynamics of Rotational Motion
Angular Momentum

3. Statics¶

Equilibrium of Forces
Structures and Stress Analysis
Center of Mass and Gravity
Statics of Rigid Bodies
Elasticity and Plasticity

4. Energy and Work¶

Work and Kinetic Energy
Potential Energy
Conservation of Energy
Power and Efficiency
Work-Energy Theorem

5. Oscillations and Waves¶

Simple Harmonic Motion
Damped Oscillations
Driven Oscillations and Resonance
Wave Motion
Sound Waves
Standing Waves

6. Rotational Dynamics¶

Torque and Angular Acceleration
Rotational Inertia
Rotational Kinetic Energy
Gyroscopic Effects
Precession and Nutation

7. Fluid Mechanics¶

Fluid Statics
Fluid Dynamics
Bernoulli's Equation
Viscosity and Laminar Flow
Turbulence
Buoyancy and Archimedes' Principle

8. Celestial Mechanics¶

Orbital Mechanics
Kepler's Laws
Gravitational Fields and Potentials
Tidal Forces
N-body Problem
Perturbation Methods

9. Continuum Mechanics¶

Stress and Strain
Material Properties and Deformation
Theories of Elasticity and Plasticity
Fracture Mechanics
Rheology

10. Analytical Mechanics¶

Lagrangian Mechanics
Hamiltonian Mechanics
Variational Principles
Canonical Transformations
Hamilton-Jacobi Theory

11. Applied Mechanics¶

Mechanical Engineering Applications
Biomechanics
Vehicle Dynamics
Structural Analysis
Robotics and Automation

12. Relativistic Mechanics¶

Special Relativity
Lorentz Transformations
Relativistic Momentum and Energy
Relativistic Dynamics

13. Nonlinear Dynamics and Chaos¶

Stability Analysis
Bifurcation Theory
Chaotic Systems
Attractors and Fractals

14. Experimental Mechanics¶

Measurement Techniques
Experimental Stress Analysis
Material Testing
Instrumentation and Data Analysis

15. Advanced Topics¶

Geophysical Mechanics
Quantum Mechanics Interface
Astrodynamics
Aeroelasticity

Each of these branches focuses on understanding and describing the motion and interaction of physical objects, from the very small (particles) to the very large (celestial bodies), under a variety of conditions and forces. Classical mechanics lays the groundwork for more advanced theories in physics, including quantum mechanics and general relativity.

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