| Grant number: | 13/17102-0 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| Effective date (Start): | October 01, 2013 |
| Effective date (End): | December 31, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Astronomy - Positional Astronomy and Celestial Mechanics |
| Principal Investigator: | Tatiana Alexandrovna Michtchenko |
| Grantee: | Eduardo Andrade Inês |
| Supervisor: | Cristián Beaugé |
| Host Institution: | Instituto de Astronomia, Geofísica e Ciências Atmosféricas (IAG). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Research place: | Universidad Nacional de Córdoba (UNC), Argentina |
| Associated to the scholarship: | 10/01209-2 - Modeling the Planetary Motion on Multiple Star Systems, BP.DR |
Abstract In this present project we intend to apply Hori's method and Lie's canonical perturbation theory for the development of a second-order in masses model. Due to complexities of the averaging procedure on the second-order model, the model that we will develop will be a Semi-secular analytical model, i.e., averaging only the planetary fast angle, resulting in a 2 degree-of-freedom model. With these results we intend to increase our knowledge of the problem and extract physical interpretations about the second-order averaging procedure, such that it can be applied numerically for the construction of a second-order secular model. (AU) | |
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