celestial mechanics and canonical transformations

Celestial mechanics refers to the branch of physics that studies the motion and interactions of celestial bodies, such as planets, moons, and stars, under the influence of gravitational forces. It aims to understand and predict their orbits, rotations, and other dynamic behaviors. Canonical transformations, on the other hand, are mathematical transformations used in the study of physical systems. They preserve the symplectic structure of the system, which is related to conservation of energy and momentum. Canonical transformations help simplify the equations of motion and provide insights into the underlying physics of the system.

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