Concept

Celestial mechanics

Related lectures (31)

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Analytical Mechanics: Newton's Three Laws

Introduces the mathematical approach to analytical mechanics, emphasizing Newton's three laws for a complete description of phenomena.

Pioneers in Astronomy and Rocket Science

Covers the pioneers in astronomy and rocket science who shaped our understanding of celestial mechanics and propelled us into space.

Celestial Mechanics: Three-Body Problem

Explores the dynamics of three-body systems in celestial mechanics, emphasizing stability, equilibrium points, and gravitational interactions.

IsoSpring Fronde

Explains Kepler's laws and Newton's hypotheses to replicate an isochronous solar system.

Laws of Mechanics and Space Environment

Covers the laws of mechanics, space environment, and space debris observation.

Central Forces and Conics

Delves into central forces, conic sections, and the law of areas, showcasing experiments and mathematical derivations.

Geocentric vs Heliocentric Models

Compares the geocentric and heliocentric models of the universe proposed by Ptolemy and Copernicus.

Roche Limit

Explores the Roche limit, the critical distance at which celestial bodies break apart due to tidal forces, using examples from Saturn's rings and comet disintegration.

Mercury's Precession: Calculation Methods

Explores methods to calculate Mercury's precession and analyzes celestial mechanics concepts.

Gravitation and Angular Momentum

Covers conservation of angular momentum, gravitational fields, Kepler's movements, and Newton's law of gravity.

History of Mechanics

Covers the history and methodology of mechanics from Aristotle to Newton.

Stability of Lagrange Points

Explores the stability of Lagrange points in celestial mechanics, focusing on equilibrium in rotating frames and the dynamics of celestial bodies.

Phase Plan and 1st Harmonic Method

Covers phase plan representation, limit cycles, topological index, and the first harmonic method.

Swimming Fish: Stability and Body Mechanics

Delves into the stability and body mechanics of swimming fish, including pitch torques and the role of fin curvature control.

Shape Change and Polar Decomposition

Explains shape change, polar decomposition, and strain tensor interpretation.

Tidal Forces: Roche Limit

Explores how tidal forces can break celestial bodies at the Roche limit.

Coupled Pendulums: Lagrange Mechanics

Covers the Lagrange mechanics of coupled pendulums and their equations of motion.

Tidal Forces: Principle

Explains the principles of tidal forces and their relation to Kepler's laws.

Circular Motion: Uniform Circular Motion in a Train

Covers uniform circular motion, airplane dynamics, and Mars retrogradation.