TITLE: Stability of non-coplanar extrasolar systems
SPEAKER: Dr. Mara Volpi (Dep. of Mathematics, University of Rome Tor Vergata)
ABSTRACT: Due to the limitations of the radial velocity method, our knowledge of the spatial configuration of the hundreds of exoplanetary systems discovered so far is limited. Through an analytical study based on a secular Hamiltonian expansion and numerical explorations performed with a chaos detector, our aim is to provide constraints on the orbital inclinations and the mutual inclinations of several two-planet extrasolar systems, that ensure the long-term stability of the system. The work presented is two-fold. On the one hand, we rely on perturbation theory and apply a reverse KAM approach to determine the ranges of the mutual inclination that allow the convergence of the algorithm constructing the invariant tori. On the other hand, we perform a parametric study via numerical integrations to find long-term stable non-coplanar configurations, focusing on the existence of the Lidov-Kozai resonance. We also show how the relativistic effects influence the extent of the Lidov-Kozai resonant region for planetary systems with close-in planets. Join the Webinar from browser or Teams App at https://bit.ly/2Y0BXa2
SPEAKER: Dr. Mara Volpi (Dep. of Mathematics, University of Rome Tor Vergata)
ABSTRACT: Due to the limitations of the radial velocity method, our knowledge of the spatial configuration of the hundreds of exoplanetary systems discovered so far is limited. Through an analytical study based on a secular Hamiltonian expansion and numerical explorations performed with a chaos detector, our aim is to provide constraints on the orbital inclinations and the mutual inclinations of several two-planet extrasolar systems, that ensure the long-term stability of the system. The work presented is two-fold. On the one hand, we rely on perturbation theory and apply a reverse KAM approach to determine the ranges of the mutual inclination that allow the convergence of the algorithm constructing the invariant tori. On the other hand, we perform a parametric study via numerical integrations to find long-term stable non-coplanar configurations, focusing on the existence of the Lidov-Kozai resonance. We also show how the relativistic effects influence the extent of the Lidov-Kozai resonant region for planetary systems with close-in planets. Join the Webinar from browser or Teams App at https://bit.ly/2Y0BXa2