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

Author:

Hernandez David M1ORCID,Dehnen Walter23ORCID

Affiliation:

1. Yale University , 52 Hillhouse, New Haven, CT 06511 , USA

2. Astronomisches Rechen-Institut, Zentrum für Astronomie der Universität Heidelberg , Mönchhofstraße 12-14, D-69120, Heidelberg , Germany

3. School for Physics and Astronomy, University of Leicester , University Road, LE1 7RH, Leicester , UK

Abstract

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.

Publisher

Oxford University Press (OUP)

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. trace: a code for time-reversible astrophysical close encounters;Monthly Notices of the Royal Astronomical Society;2024-08-18

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