Dynamical analysis of an orbiting three-rigid-body system

Daniele Pagnozzi, James Biggs

Research output: Contribution to conferencePaper

Abstract

The development of multi-joint-spacecraft mission concepts calls for a deeper understanding of their nonlinear dynamics to inform and enhance system design. This paper presents a study of a three-finite-shape rigid-body system under the action of an ideal central gravitational field. The aim is to gain an insight into the natural dynamics. The Hamiltonian dynamics is derived and used to identify relative attitude equilibria of the system with respect to the orbital reference frame. Then a numerical investigation of the behaviour far from the equilibria is provided using tools from modern dynamical systems theory such as energy methods, phase portraits and Poincarè maps. Results reveal a complex structure of the configuration manifold underlying the dynamics as well as the existence of connections between some of the equilibria. Stable equilibrium configurations appear to be surrounded by very narrow regions of regular and quasi-regular motions. Trajectories evolve on chaotic motions in the rest of the domain.

Conference

ConferenceInternational Congress on Nonlinear Problems in Aviation and Aeronautics, ICNPAA 2014
CountryNorway
CityNarvik
Period15/07/1418/07/14

Fingerprint

Hamiltonians
System theory
Spacecraft
Dynamical systems
Systems analysis
Trajectories

Keywords

  • space multi-body system
  • rigid-body dynamics
  • Hamiltonian system
  • nonlinear system analysis
  • Poincare map
  • orbit analysis

Cite this

Pagnozzi, D., & Biggs, J. (2014). Dynamical analysis of an orbiting three-rigid-body system. Paper presented at International Congress on Nonlinear Problems in Aviation and Aeronautics, ICNPAA 2014, Narvik, Norway.
Pagnozzi, Daniele ; Biggs, James. / Dynamical analysis of an orbiting three-rigid-body system. Paper presented at International Congress on Nonlinear Problems in Aviation and Aeronautics, ICNPAA 2014, Narvik, Norway.10 p.
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Pagnozzi, D & Biggs, J 2014, 'Dynamical analysis of an orbiting three-rigid-body system' Paper presented at International Congress on Nonlinear Problems in Aviation and Aeronautics, ICNPAA 2014, Narvik, Norway, 15/07/14 - 18/07/14, .

Dynamical analysis of an orbiting three-rigid-body system. / Pagnozzi, Daniele; Biggs, James.

2014. Paper presented at International Congress on Nonlinear Problems in Aviation and Aeronautics, ICNPAA 2014, Narvik, Norway.

Research output: Contribution to conferencePaper

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AB - The development of multi-joint-spacecraft mission concepts calls for a deeper understanding of their nonlinear dynamics to inform and enhance system design. This paper presents a study of a three-finite-shape rigid-body system under the action of an ideal central gravitational field. The aim is to gain an insight into the natural dynamics. The Hamiltonian dynamics is derived and used to identify relative attitude equilibria of the system with respect to the orbital reference frame. Then a numerical investigation of the behaviour far from the equilibria is provided using tools from modern dynamical systems theory such as energy methods, phase portraits and Poincarè maps. Results reveal a complex structure of the configuration manifold underlying the dynamics as well as the existence of connections between some of the equilibria. Stable equilibrium configurations appear to be surrounded by very narrow regions of regular and quasi-regular motions. Trajectories evolve on chaotic motions in the rest of the domain.

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Pagnozzi D, Biggs J. Dynamical analysis of an orbiting three-rigid-body system. 2014. Paper presented at International Congress on Nonlinear Problems in Aviation and Aeronautics, ICNPAA 2014, Narvik, Norway.