Lyapunov characteristic exponent maps for multi-body space systems analysis
Pagnozzi, Daniele and Biggs, James (2014) Lyapunov characteristic exponent maps for multi-body space systems analysis. In: AIAA SciTech 2014, 2014-01-13 - 2014-01-17, Washington.
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Abstract
This paper investigates the natural dynamics of a space multibody system in orbit around a celestial body using modern dynamical systems theory. In particular Lyapunov Characteristic Exponent (LCE) maps, which are used in celestial mechanics and fluid dynamics, are here applied to a multi-body system to analyse different qualitative behaviours. Complemented with phase diagrams and Poincare maps, LCE maps are shown to be an extremely useful global visualisation tool. Such a map reduces the order of the problem, condensing quantities of information into a lower-dimensional image. Here, a simple example is considered to demonstrate the usefulness of LCE maps with the aim of using it on more complex, realistic cases in the future. For this simple example a Hamiltonian formulation is derived to facilitate an analytical analysis of the systems equilibria and their nonlinear stability and to aid the validation of the numerical results.
Creators(s): | Pagnozzi, Daniele and Biggs, James; | Item type: | Conference or Workshop Item(Paper) |
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ID code: | 46331 |
Keywords: | multibody, rigid body dynamics, space, Lyapunov characteristic exponent, Hamiltonian dynamics, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Mechanical Engineering, Aerospace Engineering, Control and Systems Engineering, Computational Mechanics |
Subjects: | Technology > Mechanical engineering and machinery Technology > Motor vehicles. Aeronautics. Astronautics |
Department: | Faculty of Engineering > Mechanical and Aerospace Engineering Technology and Innovation Centre > Advanced Engineering and Manufacturing |
Depositing user: | Pure Administrator |
Date deposited: | 18 Dec 2013 11:16 |
Last modified: | 13 Jan 2021 03:05 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/46331 |
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