Celestial mechanics (2)  

General integrals of the n-body motion. Disturbing function. Perturbed orbits. Small impulses and the change of orbital elements. Lagrange's planetary equations, 1-st order solution. Introduction to resonances. Restricted three-body problem. Jacobi integral. Lagrangian equilibrium points, stable and unstable solution. Tisserand invariant. Gravitational spheres. Numerical solution of n-body problem, Cowell and Encke type. Gravitational potential of a finite body. Perturbations in satellite motion. Outcome: Fundamentals of the three-body and the n-body problem. General and special perturbations, secular motion. Motion in the field of a finite body.
Presential
English
Celestial mechanics (2)
English

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