Precessing models and eventual links with galaxy warps

Abstract

The Restricted Three Body problem is a basic model in celestial mechanics and it has been extensively used in the design of some spatial missions. Sometimes, the designers of these missions consider other similar models which are perturbations of this because the physical reality is more complex and they have to take into account the influence of other physical phenomena. In this work, the idea of the Restricted Three Body problem is adapted to a precession phenomenon. This precession is considered in different ways and, as a result, different models are obtained. It will be important to analyze the models by computing the invariant objects like critical points, periodic orbits and invariant manifolds. Another objective of this work is to see how a precessing models can be useful when applied to galactic dynamics, which is an important field where the results of celestial mechanics have been widely used. In this case, a precessing model can be a first approximation to explain the warps observed in some galaxies. En aquest projecte s'estudiaran diversos models gravitacionals de sistemes dinàmics en un sistema giratori on els primaris, o un solid rigid, esta subjecte a moviments de precessió. L'objectiu consisteix en fer els models, calcular els equivalents als punts d'equilibri colineals, calcular també objectes invariants i com aplicació veure si es poden explicar els warps que apareixen en galaxies barrades.