Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/39052
Title: Symplectic fourth-order maps for the collisional N-body problem
Authors: Dehnen, Walter
Hernandez, D. M.
First Published: 26-Oct-2016
Publisher: Oxford University Press (OUP), Royal Astronomical Society
Citation: Monthly Notices of the Royal Astronomical Society (February 11, 2017) 465 (1): 1201-1217.
Abstract: We study analytically and experimentally certain symplectic and time-reversible N-body integrators which employ a Kepler solver for each pair-wise interaction, including the method of Hernandez & Bertschinger (2015). Owing to the Kepler solver, these methods treat close two-body interactions correctly, while close three-body encounters contribute to the truncation error at second order and above. The second-order errors can be corrected to obtain a fourth-order scheme with little computational overhead. We generalise this map to an integrator which employs a Kepler solver only for selected interactions and yet retains fourth-order accuracy without backward steps. In this case, however, two-body encounters not treated via a Kepler solver contribute to the truncation error.
DOI Link: 10.1093/mnras/stw2758
ISSN: 0035-8711
eISSN: 1365-2966
Links: http://mnras.oxfordjournals.org/content/465/1/1201
http://hdl.handle.net/2381/39052
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: Creative Commons “Attribution Non-Commercial No Derivatives” licence CC BY-NC-ND, further details of which can be found via the following link: http://creativecommons.org/licenses/by-nc-nd/4.0/ Archived with reference to SHERPA/RoMEO and publisher website.
Appears in Collections:Published Articles, Dept. of Physics and Astronomy

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