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Multiple time-step reversible N-body integrators for close encounters in planetary systems.

Multiple time-step reversible N-body integrators for close encounters in planetary systems.

Authors :
Hernandez, David M
Dehnen, Walter
Source :
Monthly Notices of the Royal Astronomical Society; Jun2024, Vol. 530 Issue 4, p3870-3880, 11p
Publication Year :
2024

Abstract

We present new 'almost' time-reversible integrators for solution of planetary systems consisting of 'planets' and a dominant mass ('star'). The algorithms can be considered adaptive generalizations of the Wisdom–Holman method, in which all pairs of planets can be assigned time-steps. These time-steps, along with the global time-step, can be adapted time-reversibly, often at no appreciable additional compute cost, without sacrificing any of the long-term error benefits of the Wisdom–Holman method. The method can also be considered a simpler and more flexible version of the symba symplectic code. We perform tests on several challenging problems with close encounters and find the reversible algorithms are up to 2.6 times faster than a code based on symba. The codes presented here are available on Github. We also find adapting a global time-step reversibly and discretely must be done in block-synchronized manner or similar. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00358711
Volume :
530
Issue :
4
Database :
Complementary Index
Journal :
Monthly Notices of the Royal Astronomical Society
Publication Type :
Academic Journal
Accession number :
177399752
Full Text :
https://doi.org/10.1093/mnras/stae985