On the numerical integration of Hill's problem

A. Hussein, M. C. Santos

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present explicit high order composition methods based on a second order symmetric method to numerically integrate Hill's lunar problem. The linear/nonlinear splitting of the non-separable Hamiltonian allows us to build a class of integrators that are simple to use and efficient in comparison with other standard symplectic methods. Our numerical results show that the methods preserve the energy very well in long time integration.

Original languageEnglish
Title of host publication11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Pages2461-2465
Number of pages5
DOIs
Publication statusPublished - 2013
Event11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece
Duration: Sep 21 2013Sep 27 2013

Publication series

NameAIP Conference Proceedings
Volume1558
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Country/TerritoryGreece
CityRhodes
Period9/21/139/27/13

Keywords

  • Hamiltonian
  • Hill's problem
  • Stormer-Verlet
  • composition
  • splitting
  • symplectic

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'On the numerical integration of Hill's problem'. Together they form a unique fingerprint.

Cite this