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On the cucker-smale flocking model applied to a formation moving in a central force field around the Earth
Paita, Fabrizio; Gomez Muntaner, Gerard; Masdemont Soler, Josep
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
The Cucker – Smale (CS) flocking model is an interacting particles control system where every particle adjusts its dynamics according to a weighted average between its velocity and those of the other elements of the flock. Under this model, a rigid body configuration can be achieved exponentially fast for suitable initial configurations. Furthermore, as shown by J. Shen, if the dynamics of the formation is driven by the presence of a free willed leader then similar asymptotic results can be obtained. In the present paper we extend the CS control law in the context of a multi – spacecraft system moving around a central body. Some new analytical results are given, as well as the results of the numerical explorations that have been done to evaluate the performances of the control law, with particular attention to its interaction with a central gravitational field. These performances have been evaluated mainly through the use of two indicators: the evolution of the relative spacecrafts distances and the total fuel expended to maintain the formation.
Àrees temàtiques de la UPC::Aeronàutica i espai::Mecànica de vol
Àrees temàtiques de la UPC::Aeronàutica i espai::Astronàutica
Àrees temàtiques de la UPC::Física::Astronomia i astrofísica
Orbital mechanics
Flight control
Space vehicles -- Control systems
Mecànica orbital
Control de vol
Vehicles espacials -- Sistemes de control
Attribution-NonCommercial-NoDerivs 3.0 Spain

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