The restricted P + 2 body problem
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TL;DR: In this article, a special case of the restricted n-body problem, called the restricted P + 2 body problem, is studied, where the equilibrium configuration consists of one central mass encircled by a ring of equally spaced particles of equal mass, the ring rotating at a specific angular velocity.
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About: This article is published in Acta Astronautica. The article was published on 01 Apr 1993. and is currently open access. The article focuses on the topics: Ring (mathematics) & Two-body problem.
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Citations
•Dissertation
On symmetric central configurations with application to satellite motion about rings
Daniel Jay Scheeres
- 01 Jan 1992
40
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Impact of the Mass Parameter on Particle Dynamics in a Ring Configuration of N Bodies
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Regions of a satellite’s motion in a Maxwell’s ring system of N bodies
TL;DR: In this article, the authors present an extended study of the parametric evolution of the regions where 3-D particle motions may exist based on the Jacobian-type integral of motion.
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References
Linear stability of a self-gravitating ring
TL;DR: In this paper, the authors derived a bound on the mass of a self-gravitating ring about a central body about which the system will be linearly stable, which is the best possible bound.
The theory of Saturn's rings
TL;DR: The main theme of MAXWELLs work was to devise a model for the system of rings which could move in a steady state of motion round Saturn and which could be stable for small disturbances, provided the law of gravitation was applicable to the Saturnian system as discussed by the authors.