Dynamical evolution of planetary systems with dissipation

• Grant number: 09/16900-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2010
• End date: April 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Astronomy - Solar System Astronomy
• Principal Investigator: Tatiana Alexandrovna Michtchenko
• Grantee: Adrian Rodriguez Colucci
• Host Institution: Instituto de Astronomia, Geofísica e Ciências Atmosféricas (IAG). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated scholarship(s): 12/13731-0 - Spin-orbit evolution of close-in exoplanets, BE.EP.PD

Abstract

The aim of this project is to analyze the dynamical behavior of a planetary system which evolves under the combined actions of secular interaction and dissipative effects. We propose to contribute to the development of studies made at the group of Dynamical Astronomy of IAG-USP, including dissipative terms into the equations of motions of the bodies involved in the problem. We intend to advance in the understanding of the dynamical behavior of planetary systems in which there are energy and angular momentum dissipations. As a first experience, we consider the particular case in which the dissipation law is given by the tidal force, acting on the central star and planets. The effect of tides introduces energy dissipation in the system through the internal friction of the deformed bodies. The whole literature concerning on dynamical evolution due to tidal effects, in systems containing two planets, is slightly more than ten articles. Of these works, the most recent are consequence of the great attention paid in recent years due to the discovery of planets outside our solar system with very different properties (large planets very close to the star, high eccentricities, etc). We will solve the equations of motion of the dissipative problem, identifying new equilibrium points and periodic solutions in the phase space. The model will be tested using a standard system of two planets, with subsequent application to real systems. (AU)

Scientific publications

(9)

(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)

CORREIA, ALEXANDRE C. M.; BOUEE, GWENACL; LASKAR, JACQUES; RODRIEGUEZ, ADRIAN. Deformation and tidal evolution of close-in planets and satellites using a Maxwell viscoelastic rheology. Astronomy & Astrophysics, v. 571, NOV 2014. (12/13731-0, 09/16900-5)

CORREIA, ALEXANDRE C. M.; RODRIGUEZ, ADRIAN. ON THE EQUILIBRIUM FIGURE OF CLOSE-IN PLANETS AND SATELLITES. ASTROPHYSICAL JOURNAL, v. 767, n. 2, APR 20 2013. (12/13731-0, 09/16900-5)

MICHTCHENKO, T. A.; RODRIGUEZ, A.. Modelling the secular evolution of migrating planet pairs. Monthly Notices of the Royal Astronomical Society, v. 415, n. 3, p. 2275-2292, AUG 2011. (09/16900-5)

RODRIGUEZ, A.; FERRAZ-MELLO, S.; MICHTCHENKO, T. A.; BEAUGE, C.; MILONI, O.. Tidal decay and orbital circularization in close-in two-planet systems. Monthly Notices of the Royal Astronomical Society, v. 415, n. 3, p. 2349-2358, AUG 2011. (09/16900-5)

RODRIGUEZ, A.; CALLEGARI, JR., N.; MICHTCHENKO, T. A.; HUSSMANN, H.. Spin-orbit coupling for tidally evolving super-Earths. Monthly Notices of the Royal Astronomical Society, v. 427, n. 3, p. 2239-2250, DEC 2012. (09/16900-5)

RODRIGUEZ, ADRIAN; MICHTCHENKO, TATIANA A.; MILONI, OCTAVIO. Angular momentum exchange during secular migration of two-planet systems. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 111, n. 1-2, p. 18-pg., 2011-10-01. (09/16900-5)

RODRIGUEZ, ADRIAN; GIUPPONE, CRISTIAN A.; MICHTCHENKO, TATIANA A.. Tidal evolution of close-in exoplanets in co-orbital configurations. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 117, n. 1, SI, p. 59-74, SEP 2013. (09/54006-4, 09/16900-5)

RODRIGUEZ, ADRIAN; MICHTCHENKO, TATIANA A.; MILONI, OCTAVIO. Angular momentum exchange during secular migration of two-planet systems. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 111, n. 1-2, SI, p. 161-178, OCT 2011. (09/16900-5)

RODRIGUEZ, ADRIAN; GIUPPONE, CRISTIAN A.; MICHTCHENKO, TATIANA A.. Tidal evolution of close-in exoplanets in co-orbital configurations. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 117, n. 1, p. 16-pg., 2013-09-01. (09/16900-5, 09/54006-4)