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Dynamics of planets in binary star systems - a Semi-secular second order approach

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


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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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
ANDRADE-INES, EDUARDO; BEAUGE, CRISTIAN; MICHTCHENKO, TATIANA; ROBUTEL, PHILIPPE. Secular dynamics of S-type planetary orbits in binary star systems: applicability domains of first- and second-order theories. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 124, n. 4, p. 405-432, . (10/01209-2, 13/17102-0)

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