Artificial equilibrium points for a generalized sail in the circular restricted three-body problem

Generoso Aliasi (1) , Giovanni Mengali (1) , Alessandro A. Quarta (1)

1 Dipartimento di Ingegneria Aerospaziale

This paper introduces a new approach to the study of artificial equilibrium points in the circular restricted three-body problem for propulsion systems with continuous and purely radial thrust. The propulsion system is described by means of a general mathematical model that encompasses the behavior of different systems like a solar sail, a magnetic sail and an electric sail. The proposed model is based on the choice of a coefficient related to the propulsion type and a performance parameter that quantifies the system technological complexity. The propulsion system is therefore referred to as generalized sail. The existence of artificial equilibrium points for a generalized sail is investigated. It is shown that three different families of equilibrium points exist, and their characteristic locus is described geometrically by varying the value of the performance parameter. The linear stability of the artificial points is also discussed.

Mots clés: Artificial Lagrangian equilibrium points; Radial propulsive acceleration; Generalized sail; Displaced points; Stability

Generoso Aliasi, Giovanni Mengali, Alessandro A. Quarta. Artificial equilibrium points for a generalized sail in the circular restricted three-body problem. Celestial Mechanics and Dynamical Astronomy, 2011, 110 (4), pp.343-368. ⟨10.1007/s10569-011-9366-y⟩. ⟨hal-00659047⟩