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Visualizing solutions of the circular restricted three-body problem

descriptionPublicationkeyboard_double_arrow_right Other literature type , Thesis 01 Jan 2009Publisher:No Publisher Supplied
Authors: Trim, Nkosi Nathan;

doi: 10.7282/t3d21xtt

Visualizing solutions of the circular restricted three-body problem

Abstract

The stability of a satellite near the Lagrange points is studied in a Circular Restricted Three-Body Problem (CR3BP). The Runge Kutta method is used to trace out the orbital path of the satellite over a period of time. Various initial positions near the Lagrange points and velocities are used to produce various paths the satellite can take. The primary paths focused are on horseshoe paths.Horseshoe orbits are shown to be sometimes stable and sometimes chaotic.

Keywords

Three-body problem, Celestial mechanics, Mathematical Sciences

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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