Non-linear dynamics of ring world systems

Colin R. McInnes

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The dynamics of a point mass and a thin solid ring are considered with the point mass located within the perimeter of the ring. It is demonstrated that an equilibrium configuration exists only when the center-of-mass of the ring and the point mass are collocated. However, this sole equilibrium configuration is unstable due to perturbations within the plane of the ring, but is stable due to perturbations normal to the plane of the ring. Such a ring system about a star has been envisaged in some detail in well-known works of fiction. While qualitative, or sometimes quantitative linear analysis of the problem is to be found, a full non-linear analysis of the dynamics of the problem does not appear to have been previously published.
LanguageEnglish
Pages308-313
Number of pages6
JournalJBIS, Journal of the British Interplanetary Society
Volume56
Issue number9-10
Publication statusPublished - 2003

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rings
Nonlinear analysis
Stars
perturbation
configurations
center of mass
stars
analysis

Keywords

  • ring world
  • non-linear dynamics
  • control systems

Cite this

McInnes, Colin R. / Non-linear dynamics of ring world systems. In: JBIS, Journal of the British Interplanetary Society. 2003 ; Vol. 56, No. 9-10. pp. 308-313.
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Non-linear dynamics of ring world systems. / McInnes, Colin R.

In: JBIS, Journal of the British Interplanetary Society, Vol. 56, No. 9-10, 2003, p. 308-313.

Research output: Contribution to journalArticle

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