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On the Stability of Quasi-Satellite Orbits in the Elliptic Restricted Three-Body Problem
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cabral, Francisco |
| Copyright Year | 2011 |
| Abstract | In this thesis, the design of quasi-satellites orbits in the elliptic restricted three-body problem is addressed from a preliminary space mission design perspective. The stability of these orbits is studied by an analytical and a numerical approach and findings are applied in the study of the Mars-Phobos system. In the analytical approach, perturbation theories are applied to the solution of the unperturbed Hill's equations, obtaining the first-order approximate averaged differential equations on the osculating elements. The stability of quasi-satellite orbits is analyzed from these equations and withdrawn conclusions are confirmed numerically. We also use the fast Lyapunov indicator, a chaos detection technique, to analyze the stability of the system. The study of fast Lyapunov indicator maps for scenarios of particular interest provides a better understanding on the characteristics of quasi-satellite orbits and their stability. Both approaches are proven to be powerful tools for space mission design. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://fenix.tecnico.ulisboa.pt/downloadFile/395143172598/Thesis.pdf |
| Alternate Webpage(s) | https://fenix.tecnico.ulisboa.pt/downloadFile/395143172599/Extended_Abstract.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Thesis |
