Display Abstract

Title On the Dynamics of the Augmented Hill 3 Body Problem

Name Ariadna A Farr\'es
Country Spain
Email ariadna.farres@maia.ub.es
Co-Author(s) \`Angel Jorba, Josep Maria Mondelo
Submit Time 2014-02-28 06:33:22
Special Session 111: Computational dynamics in Hamiltonian and dissipative systems
In this talk we will describe the dynamics of the Augmented Hill 3 Body Problem (AH3BP), used to model the behaviour of a spacecraft propelled by a solar sail in the vicinity of an asteroids. The model includes the gravitational effect of both the Sun and the asteroid, as well as the solar radiation pressure due to the solar sail. Which depends on 3 parameters: the sail performance given by the sail lightness number $\beta$, and the sail orientation given by two angles $\alpha, \delta$. The AH3BP is Hamiltonian system. We will use different numerical tools to describe the bounded motion of the system. We will find equilibrium points, periodic orbits and invariant tori. We will try to give a complete description of the phase space properties and how this ones varies as we change the parameters in the system.