“Computer algebra and chaotic diffusion of planetary motions in the solar system”
Giovedì 16 Aprile 2026, ore 14:30 - Aula 2AB40 - Jacques Laskar (LTE - Observatoire de Paris)
Abstract
The evidence of the chaotic movement of the planets in the solar system was obtained thanks to a numerical integration of the averaged equations of motion (Laskar, 1989). This system of equations containing more than 150,000 terms had been obtained by methods of computer algebra very dedicated, whose adaptation to other problems was not easy. Since 1988 began the construction of a general computer algebra system, TRIP, specially adapted to celestial mechanics calculations and perturbation methods. We have used this system recently to get a better understanding of the origin of chaos in the solar system, and to study the diffusion of chaotic motion of the planets over times well in excess of the age of the universe. A limited version of TRIP is publicly available on https://www.imcce.fr/Equipes/ASD/trip, but we aim to release the full version of TRIP, in an open source package before the end of the year.
