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Analyzing motion in a straight line under constant or variable forces (such as air resistance).

Celestial mechanics, Kepler's laws, and gravitational potential.

The climax of analytical mechanics is the introduction of generalized coordinates.

Utilizes generalized coordinates and degrees of freedom to simplify constraints using the Lagrangian equation (

Generalized coordinates that vibrate independently at specific frequencies.

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Exploration of orbital mechanics and Kepler's laws.