Picture of DNA strand

Pioneering chemical biology & medicinal chemistry through Open Access research...

Strathprints makes available scholarly Open Access content by researchers in the Department of Pure & Applied Chemistry, based within the Faculty of Science.

Research here spans a wide range of topics from analytical chemistry to materials science, and from biological chemistry to theoretical chemistry. The specific work in chemical biology and medicinal chemistry, as an example, encompasses pioneering techniques in synthesis, bioinformatics, nucleic acid chemistry, amino acid chemistry, heterocyclic chemistry, biophysical chemistry and NMR spectroscopy.

Explore the Open Access research of the Department of Pure & Applied Chemistry. Or explore all of Strathclyde's Open Access research...

Strathprints

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.

[img] PDF (Pagnozzi D & Biggs JD - Pure - Lyapunov characteristic exponent maps for multi-body space systems analysis Jan 2014)
Pagnozzi_D_Biggs_JD_Pure_Lyapunov_characteristic_exponent_maps_for_multi_body_space_systems_analysis_Jan_2014.pdf
Preprint
Download (3MB)

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.

Item type: Conference or Workshop Item (Paper)
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: 19 Sep 2018 21:37
Related URLs:
URI: https://strathprints.strath.ac.uk/id/eprint/46331
Export data:
CORE (COnnecting REpositories)