@inproceedings{41c2383173f84b5b88eb864fda6714fa,
title = "On the numerical integration of Hill's problem",
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.",
keywords = "Hamiltonian, Hill's problem, Stormer-Verlet, composition, splitting, symplectic",
author = "A. Hussein and Santos, {M. C.}",
year = "2013",
doi = "10.1063/1.4826039",
language = "English",
isbn = "9780735411845",
series = "AIP Conference Proceedings",
pages = "2461--2465",
booktitle = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013",
note = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 ; Conference date: 21-09-2013 Through 27-09-2013",
}