Secular dynamics of S-type planetary orbits in binary star systems: applicability domains of first- and second-order theories

Autor(es)

Andrade-Ines, Eduardo ^{[1, 2]} ; Beauge, Cristian ^[3] ; Michtchenko, Tatiana ^[2] ; Robutel, Philippe ^[1]

Afiliação do(s) autor(es)

^[1] Observ Paris, IMCCE, 77 Ave Denfert Rochereau, F-75014 Paris - France

^[2] Univ Sao Paulo, Inst Astron Geofis & Ciencias Atmosfer IAG, Rua Matao 1226, Sao Paulo - Brazil

^[3] Univ Nacl Cordoba, OAC, Laprida 854, RA-5000 Cordoba - Argentina

• Tipo de documento: Artigo Científico
• Fonte: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY; v. 124, n. 4, p. 405-432, APR 2016.
• Citações Web of Science: 7

Resumo

We analyse the secular dynamics of planets on S-type coplanar orbits in tight binary systems, based on first- and second-order analytical models, and compare their predictions with full N-body simulations. The perturbation parameter adopted for the development of these models depends on the masses of the stars and on the semimajor axis ratio between the planet and the binary. We show that each model has both advantages and limitations. While the first-order analytical model is algebraically simple and easy to implement, it is only applicable in regions of the parameter space where the perturbations are sufficiently small. The second-order model, although more complex, has a larger range of validity and must be taken into account for dynamical studies of some real exoplanetary systems such as Cephei and HD 41004A. However, in some extreme cases, neither of these analytical models yields quantitatively correct results, requiring either higher-order theories or direct numerical simulations. Finally, we determine the limits of applicability of each analytical model in the parameter space of the system, giving an important visual aid to decode which secular theory should be adopted for any given planetary system in a close binary. (AU)

• Processo FAPESP: 10/01209-2 - Modelagem do Movimento Planetário nos Sistemas de Estrelas Múltiplas
• Beneficiário: Eduardo Andrade Inês
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 13/17102-0 - Dinâmica de planetas em sistemas de estrelas binárias - uma abordagem Semi-secular de segunda ordem
• Beneficiário: Eduardo Andrade Inês
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado