Switching integrators reversibly in the astrophysical N-body problem

• Verfasst von: Hernandez, David M. [VerfasserIn]
• Verfasst von: Dehnen, Walter [VerfasserIn]
• Titel: Switching integrators reversibly in the astrophysical N-body problem
• Verf.angabe: David M. Hernandez and Walter Dehnen
• E-Jahr: 2023
• Jahr: July 2023
• Umfang: 10 S.
• Fussnoten: Veröffentlicht: 2. März 2023 ; Gesehen am 21.07.2023
• Titel Quelle: Enthalten in: Royal Astronomical SocietyMonthly notices of the Royal Astronomical Society
• Ort Quelle: Oxford : Oxford Univ. Press, 1827
• Jahr Quelle: 2023
• Band/Heft Quelle: 522(2023), 3 vom: Juli, Seite 4639-4648
• ISSN Quelle: 1365-2966
• DOI: doi:10.1093/mnras/stad657
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1853318841

Abstract

We present a simple algorithm to switch between N-body time integrators in a reversible way. We apply it to planetary systems undergoing arbitrarily close encounters and highly eccentric orbits, but the potential applications are broader. Upgrading an ordinary non-reversible switching integrator to a reversible one is straightforward and introduces no appreciable computational burden in our tests. Our method checks whether the integrator during the time-step violates a time-symmetric selection condition and redoes the step if necessary. In our experiments, a few per cent of steps would have violated the condition without our corrections. By eliminating them, the algorithm avoids long-term error accumulation, of several orders of magnitude in some cases.