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Title: A study of symplectic integrators for planetary system problems: error analysis and comparisons
Authors: Hernandez, David M.
Dehnen, Walter
First Published: 3-Mar-2017
Publisher: Oxford University Press
Citation: Monthly Notices of the Royal Astronomical Society, 2017, 468 (3), pp. 2614-2636
Abstract: The symplectic Wisdom–Holman map revolutionized long-term integrations of planetary systems. There is freedom in such methods of how to split the Hamiltonian and which coordinate system to employ, and several options have been proposed in the literature. These choices lead to different integration errors, which we study analytically and numerically. The Wisdom– Holman method in Jacobi coordinates and the method of Hernandez, H16, compare favourably and avoid problems of some of the other maps, such as incorrect centre-of-mass position or truncation errors even in the one-planet case. We use H16 to compute the evolution of Pluto’s orbital elements over 500 million years in a new calculation.
DOI Link: 10.1093/mnras/stx547
ISSN: 0035-8711
eISSN: 1365-2966
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2017, the authors. Deposited with reference to the publisher’s open access archiving policy.
Appears in Collections:Published Articles, Dept. of Physics and Astronomy

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