N-body integrators for planets in binary star systems

dc.creatorChambers, John E.
dc.date2007-05-22
dc.date.accessioned2026-07-07T08:02:53Z
dc.date.available2026-07-07T08:02:53Z
dc.descriptionSymplectic integrators are the tool of choice for many researchers studying dynamical systems because of their good long-term energy conservation properties. For systems with a dominant central mass, symplectic integrators are also highly efficient. In this chapter, I describe the theory of symplectic integrators in terms of Lie series. I show how conventional symplectic algorithms have been adapted for use in binary-star systems to study problems such as the dynamical stability of multi-planet systems and the accretion of planets from planetesimals. This is achieved by devising new coordinate systems for the wide-binary and close-binary cases separately. I show how the performance of these algorithms can be improved at little extra cost using symplectic correctors. Finally, I discuss drawbacks of these algorithms, in particular in dealing with close encounters with one or both members of the binary, and the prospects for overcoming these problems.
dc.description21 pages plus 2 figures. Chapter to appear in the book "Planets in Binary Star Systems," ed. Nader Haghighipour (Springer publishing company), 2007
dc.identifierhttps://arxiv.org/abs/0705.3223
dc.identifierhttp://arxiv.org/abs/0705.3223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129375
dc.subjectAstrophysics
dc.titleN-body integrators for planets in binary star systems
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