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Doctoral Thesis
DOI
10.11606/T.14.2012.tde-24062013-115006
Document
Author
Full name
Gleidson Gomes da Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2012
Supervisor
Committee
Mello, Sylvio Ferraz de (President)
Cincotta, Pablo Miguel
Michtchenko, Tatiana Alexandrovna
Silva, Fernando Cachucho da
Teixeira, Ramachrisna
Title in Portuguese
Ressonâncias de três corpos: estudo da dinâmica da zona habitável do sistema exoplanetário GJ581
Keywords in Portuguese
Astronomia Dinâmica
Difusão Orbital.
GJ (Gliese) 581
Ressonâncias de Três Corpos
Teoria de Chirikov
Zona Habitável
Abstract in Portuguese
Estudo das ressonâncias de três corpos na zona habitável (ZH), da estrela GJ 581 (Gliese 581), envolvendo dois planetas conhecidos e um terceiro planeta dentro da ZH. Séries de Lie são usadas para obter o Hamiltoniano médio (de segunda ordem nas massas) e teoria de Chirikov é usada para gerar um novo sistema de varáveis canônicas em que os momentos se orientam ao longo e através da ressonância. Um mapa de Hadjidemetriou é construido e permite o cálculo rápido da difusão das órbitas em uma extensa grade de condições iniciais.
Title in English
The Three Body Resonances: Study of dynamic the habitable zone of exoplanetary system GJ 581
Keywords in English
Chirikov\'s Theory. Orbital Diffusion.
Dynamical Astronomy
GJ (Gliese) 581
Habitable Zone
Three-Body Resonances
Abstract in English
Study of three-body resonances in the habitable zone (ZH), the star GJ 581 (Gliese 581), involving two known planets, and a third planet in the ZH. Lie series are used to obtain the average Hamiltonian (the second-order mass) and Chirikov theory is used to generate a new canonical variables system in which the moments are oriented along and across the resonance. A map of Hadjidemetriou is constructed and allows rapid calculation of the diffusion of orbits in an extensive grid of initial conditions.
 
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Publishing Date
2013-06-24
 
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