Fecha: 10/01/2020 12:00
Lugar: Seminario IMUVA. Edificio LUCIA
Grupo: G.I.R. Análisis Numérico y Estocástico, Optimización Dinámica y Aplicaciones (ANEODA)
Abstract:
Astrophysicists rely on solution for the $N$-body problem for a myriad of dynamics problems, from those in dark matter dynamics to those in planetary dynamics. Over 50 years ago, Miller found that errors in our simulations of the N-body problem grow exponentially in time. So why should one trust any such simulation over long times? In this talk, I explore a three-body planetary system. The allowed motion over long times can be estimated analytically using recent results from Hadden & Lithwich. I find conventional integration methods yield statistics that are as accurate as higher order symplectic methods. In one test, a symplectic corrector method gave unreliable statistics.
(Joint work with Sam Hadden and Junichiro Makino; Reference: arXiv:1910.08667)