Explaining the Orbits of the Galactic Center S-Stars (2008)
Merritt, David, Gualandris, Alessia, Mikkola, Seppo
The young stars near the supermassive black hole at the galactic center follow orbits that are nearly random in orientation and that have an approximately thermal distribution of eccentricities, N(e)...
Implementing Few-Body Algorithmic Regularization with Post-Newtonian terms (2008)
Mikkola, Seppo, Merritt, David
Also archived in: arXiv:0709.3367 v1 Sep 21 2007
A trial symbolic dynamics of the planar three-body problem (2008)
Tanikawa, Kiyotaka, Mikkola, Seppo
Symbolic dynamics is applied to the planar three-body problem. Symbols are defined on the planar orbit when it experiences a syzygy crossing. If the body i is in the middle at the syzygy crossing and...
Merritt, David, Mikkola, Seppo, Szell, Andras
Also archived in: arXiv:0705.2745 v1 May 18 2007
Implementing Few-Body Algorithmic Regularization with Post-Newtonian Terms (2007)
Mikkola, Seppo, Merritt, David
We discuss the implementation of a new regular algorithm for simulation of the gravitational few-body problem. The algorithm uses components from earlier methods, including the chain structure, the...
Merritt, David, Mikkola, Seppo, Szell, Andras
[Abridged] In galactic nuclei with sufficiently short relaxation times, binary supermassive black holes can evolve beyond their stalling radii via continued interaction with stars. We study this...
Correlation of macroscopic instability and Lyapunov times in the general three-body problem (2007)
Mikkola, Seppo, Tanikawa, Kiyotaka
We conducted extensive numerical experiments of equal mass three-body systems until they became disrupted. The system lifetimes, as a bound triple, and the Lyapunov times show a correlation similarto...
Algorithmic regularization with velocity-dependent forces (2006)
Mikkola, Seppo, Merritt, David
Algorithmic regularization uses a transformation of the equations of motion such that the leapfrog algorithm produces exact trajectories for two-body motion as well as regular results in numerical...
Evolution of binary supermassive black holes via chain regularization (2005)
Szell, Andras, Merritt, David, Mikkola, Seppo
To appear in "Nonlinear Dynamics in Astronomy and Physics", the 16th Florida Workshop of the Department of Astronomy and the Department of Physics at the University of Florida. Dedicated to the...
Evolution of binary supermassive black holes via chain regularization (2005)
Szell, Andras, Merritt, David, Mikkola, Seppo
To appear in "Nonlinear Dynamics in Astronomy and Physics", the 16th Florida Workshop of the Department of Astronomy and the Department of Physics at the University of Florida. Dedicated to the...
Evolution of binary supermassive black holes via chain regularization (2005)
Szell, Andras, Merritt, David, Mikkola, Seppo
To appear in "Nonlinear Dynamics in Astronomy and Physics", the 16th Florida Workshop of the Department of Astronomy and the Department of Physics at the University of Florida. Dedicated to the...
Evolution of Binary Supermassive Black Holes via Chain Regularization (2005)
Szell, Andras, Merritt, David, Mikkola, Seppo
A chain regularization method is combined with special purpose computer hardware to study the evolution of massive black hole binaries at the centers of galaxies. Preliminary results with up to...
The Decay of Accreting Triple Systems as Brown Dwarf Formation Scenario (2005)
Umbreit, Stefan, Burkert, Andreas, Henning, Thomas, Mikkola, Seppo, Spurzem, Rainer
We investigate the dynamical decay of non-hierarchical accreting triple systems and its implications on the ejection model as Brown Dwarf formation scenario. A modified chain-regularization scheme is...
The decay of accreting triple systems as brown dwarf formation scenario (2005)
Umbreit, Stefan, Burkert, Andreas, Henning, Thomas, Mikkola, Seppo, Spurzem, Rainer
We investigate the dynamical decay of nonhierarchical accreting triple systems and its implications on the ejection model as a brown dwarf formation scenario. A modified chain-regularization scheme...
Earth Trojan asteroids: A study in support of observational searches (1999)
Wiegert, Paul, Innanen, Kimmo, Mikkola, Seppo
Observational searches for asteroids orbiting near Earth's triangular Lagrange points face unique obstacles. A population of such asteroids would occupy a large projected area on the sky (possibly...
Chaos in the one-dimensional gravitational three-body problem (1993)
Hietarinta, Jarmo, Mikkola, Seppo
We have investigated the appearance of chaos in the 1-dimensional Newtonian gravitational three-body system (three masses on a line with $-1/r$ pairwise potential). We have concentrated in particular...
"Report series, no. D 9."