Open AccessOn the integration of an axially symmetric galaxy model
Author(s) -
Navarro Juan F.
Publication year - 2019
Publication title -
computational and mathematical methods
Language(s) - English
Resource type - Journals
ISSN - 2577-7408
DOI - 10.1002/cmm4.1062
Subject(s) - axial symmetry , truncation (statistics) , numerical integration , convergence (economics) , series (stratigraphy) , power series , truncation error , mathematics , equations of motion , computer science , galaxy , classical mechanics , physics , mathematical analysis , geometry , geology , astronomy , paleontology , machine learning , economics , economic growth
A numerical exploration of the escape of a particle from a potential well modeling an axially symmetric galaxy requires the integration of millions of orbits over very long spans of time. In this paper, we propose an integration of the equations of motion of the system by recurrent power series. We prove the convergence of the method, compare the computational time of the recurrent series method against the Dormand‐Prince method, and study the propagation of the truncation errors in the numerical solutions.