Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-05-22
Astronomy and Astrophysics
Astrophysics
21 pages plus 2 figures. Chapter to appear in the book "Planets in Binary Star Systems," ed. Nader Haghighipour (Springer publ
Scientific paper
Symplectic 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.
No associations
LandOfFree
N-body integrators for planets in binary star systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with N-body integrators for planets in binary star systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N-body integrators for planets in binary star systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-416371