Celestial Mechanics

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 Celestial Mechanics:

Celestial mechanics is the branch of astronomy that deals with the motions and gravitational interactions of celestial objects such as planets, moons, comets, asteroids, and stars. It applies the principles of classical mechanics, particularly Newton's laws of motion and universal gravitation, to explain and predict the orbits and trajectories of these bodies.

This field plays a vital role in understanding planetary systems, designing spacecraft missions, calculating satellite orbits, and modeling the long-term dynamics of solar and extra-solar systems. Modern celestial mechanics also incorporates general relativity for precision calculations, especially in extreme gravitational fields such as those near black holes or neutron stars.

Key topics in celestial mechanics include:

  • Orbital elements and perturbations

  • N-body problem and restricted three-body problem

  • Kepler's laws of planetary motion

  • Lagrange points and stability analysis

  • Tidal forces and orbital resonances

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