MAMA: an algebraic map for the secular dynamics of planetesimals in tight binary systems

• Autores: Leiva, Alejandro Martín; Correa Otto, Jorge Alfredo; Beauge, Cristian
• Año de publicación: 2013
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Exoplanetas; Sistemas Binarios; Formacion; Dinamica
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We present an algebraic map (MAMA) for the dynamical and collisional evolution of a planetesimal swarm orbiting the main star of a tight binary system. The orbital evolution of each planetesimal is dictated by the secular perturbations of the secondary star and gas drag due to interactions with a protoplanetary disc. The gas disc is assumed eccentric with a constant precession rate. Gravitational interactions between the planetesimals are ignored. All bodies are assumed coplanar.

A comparison with full N-body simulations shows that the map is of the order of 10² times faster, while preserving all the main characteristics of the full system. In a second part of the work, we apply multiparticle algebraic map for accretion (MAMA) to the γ-Cephei, searching for friendly scenarios that may explain the formation of the giant planet detected in this system. For low-mass protoplanetary discs, we find that a low-eccentricity static disc aligned with the binary yields impact velocities between planetesimals below the disruption threshold. All other scenarios appear hostile to planetary formation.
Fil: Leiva, Alejandro Martín. Universidad Nacional de Cordoba. Observatorio Astronomico de Cordoba; Argentina;
Fil: Correa Otto, Jorge Alfredo. Universidade Do Sao Paulo. Instituto Astronomia, Geofisica e Ciencias Atmosfericas; Brasil;
Fil: Beauge, Cristian. Consejo Nacional de Invest.cientif.y Tecnicas. Centro Cientifico Tecnol.conicet - Cordoba. Instituto de Astronomia Teorica y Experimental; Argentina;