Analysis of the Restricted Three-body problem using numerical analysis techniques.
In this work, we study the plannar circular restricted three-body problem where the first two bodies move in circular orbits around their joint centre-of-mass and the motion of the third body is confined to the plane of the circles. For this work, the centre-of-mass is taken as the origin and the plane of the circles is taken as the x-y-plane. A set of scripts were developed to study the orbits of these systems in presence of velocity and position changes. At the end, a set of possible sources of errors are described and analyzed for the future improvement of this method.
This project depends only on Octave; while minor changes are required to run this implementation on Matlab. General knowledge of differential equations and numerical methods is required.
scripts - includes Octave scripts needed to solve the problem
article - includes Latex data for the formatting of the report
images - includes images produced at the time of solving the problem
This work was done in collaboration with professor Pablo Negron from the University of Puerto Rico at Humacao.
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