Celestial Dynamics and resonances [SMATM127]

Learning outcomes

Content

The course starts with the formulation and resolution of the two-body problem. In this framework, we will apply these results to the dynamics of small bodies perturbed by stellar winds, introducting the idea of perturbations. We will then extend to a third body. We will develop further the notion of perturbations to look for approximate solutions to the three-body problem. Using averaging methods, we will study solutions over very long timescales (the so-called secular perturbations). We will also study mean-motion resonances.

Table of contents

1. Two-body problem.
2. Perturbations to the two-body problem.
3. Three-body problem, restricted or not.
4. Secular perturbations.
5. Mean motion resonances