TITLE: Orbital dynamics for a non-perfectly reflecting Solar sail close to an asteroid AUTHORS: Ariadna Farres, Angel Jorba Departament de Matematica Aplicada i Analisi Universitat de Barcelona Gran Via 585 08007 Barcelona, Spain. Josep-Maria Mondelo Departament de Matematiques Universitat Autonoma de Barcelona 08193 Bellaterra (Barcelona), Spain ABSTRACT: In this paper we focus on a mission scenario of a solar sail close to an asteroid. We consider the Augmented Hill Three Body problem as a model, where the asteroid is considered as a point mass and both the effect of solar tides and the solar radiation pressure due to the solar sail are included. We will give a complete description of the most relevant dynamics properties of the system. We will compute families of periodic and quasi-periodic orbits for different fixed sail orientations.