Stability solutions of a dumbbell-like system in an elliptical orbit

A dumbbell-like system is analyzed, considering two mass points connected with a massless and rigid tether with length variations, and the center of mass described by Keplerian orbits. This kind of system, in a certain type of configuration, is a simple conceptualization of the space elevator. The s...

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Bibliographic Details
Published in:Journal of physics. Conference series 2015-10, Vol.641 (1), p.12004
Main Authors: Souza dos Santos, Denilson Paulo, da Rocha e Brito de Aguiã Morant, Simão António, Guerman, Anna D, Burov, Alexander A
Format: Article
Language:English
Subjects:
Center of mass
Chaos theory
Dynamic stability
Elliptical orbits
Gravitational fields
Perturbation
Physics
Rotation
Stability analysis
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Summary:A dumbbell-like system is analyzed, considering two mass points connected with a massless and rigid tether with length variations, and the center of mass described by Keplerian orbits. This kind of system, in a certain type of configuration, is a simple conceptualization of the space elevator. The system motion is obtained with the Lagrangian Formulation in a Central Gravitational Field, and the perturbations of motion are neglected. Laws of control are considered for the angle of systems rotation around the center of mass. Those include uniform rotations or no rotation at all. Stability conditions were obtained for the first case, analyzing its neighborhood and using Floquet Theory. The results shown there are regions of eccentricities were stability is found. Lastly, a dynamic numerical simulator was created, where the implementation of the results could be tested. The dynamic behavior of the system showed regular and chaotic properties.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/641/1/012004