Tesis doctoral de Elisabet Canalias Vila
This phd. Thesis lies within the field of astrodynamics. It provides solutions to problems which have been identified in mission design near libration points, by using dynamical systems theory. the restricted three body problem is a well known model to study the motion of an infinitesimal mass under the gravitational attraction of two massive bodies. Its five equilibrium points, specially l1 and l2, have been the object of several studies aimed at practical applications in the last decades (soho, genesis…). in general, any mission in orbit around l2 of the sun-earth system is affected by occultations due to the shadow of the earth. When the orbit is around l1, the eclipses are caused by the strong electromagnetic influence of the sun. Among all different types of libration orbits, lissajous type ones are the combination of two perpendicular oscillations. Its main advantage is that the amplitudes of the oscillations can be chosen independently and this fact makes lissajous orbits more adaptable to the requirements of each particular mission than other kinds of libration motions. The need for eclipse avoidance strategies in lissajous orbits around l1 and l2 motivated the first part of the thesis. It is in this part where a tool for planning maneuvers in lissajous orbits is presented, which not only solves the eclipse avoidance problem, but can also be used for transferring between orbits having different amplitudes and for planning rendez-vous strategies. on the other hand, there exist low cost channels joining the l1 and l2 points of a given sistem, which represent a natural way of transferring from one libration region to the other one. Furthermore, there exist hyperbolic invariant objects, called stable and unstable manifolds, which are associated with libration orbits due to their hyperbolic character. If we bear in mind that the stable manifold of a libration orbit consists of trajectories which tend to the orbit as time goes by, and that the unstable man
Datos académicos de la tesis doctoral «Contributions to libration orbit mission design using hyperbolic invariant manifolds.«
- Título de la tesis: Contributions to libration orbit mission design using hyperbolic invariant manifolds.
- Autor: Elisabet Canalias Vila
- Universidad: Politécnica de catalunya
- Fecha de lectura de la tesis: 24/07/2007
Dirección y tribunal
- Director de la tesis
- Josep Joaquim Masdemont Soler
- Tribunal
- Presidente del tribunal: gerard Gomez muntane
- w. Lo martin (vocal)
- a. Eismont natan (vocal)
- michael Dellnitz (vocal)