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By using direct N-body numerical simulations, we model the dynamical coevolution of two supermassive black holes (SMBHs) and the surrounding stars in merging galaxies. In order to investigate how diff...
In this paper, we simulate numerically the catastrophic disruption of a large asteroid as a result of a collision with a smaller projectile and the subsequent reaccumulation of fragments as a result o...
We present results from a large suite of simulations of Saturn’s dense A and B rings using a new model of particle sticking in local simulations (Perrine, R.P., Richardson, D.C., Scheeres, D.J. [2011]...
Numerical simulations of asteroid breakups, including both the fragmentation of the parent body and the gravitational interactions between the fragments, have allowed us to reproduce successfully the ...
We present N-body simulations of planetary accretion beginning with 1 km radius planetesimals in orbit about a 1 M star at 0.4 AU. The initial disk of planetesimals contains too many bodies for any c...
We investigate the morphology of size–frequency distributions (SFDs) resulting from impacts into 100-km-diameter parent asteroids, represented by a suite of 161 SPH/N-body simulations conducted to stu...
We present results from direct N-body simulations of collisions between gravitational aggregates of varying size as part of a study to parameterize planetesimal growth in the Solar System. We find tha...
There is increasing evidence that many kilometer-sized bodies in the Solar System are piles of rubble bound together by gravity. We present results from a project to map the parameter space of collisi...
We describe a new direct numerical method for simulating planetesimal dynamics in which N ~ 106 or more bodies can be evolved simultaneously in three spatial dimensions over hundreds ofdynamical times...
New Developments of Variational Method of N-bodym Problem in Celestial Mechanics.
This paper explores resonance-driven secular evolution between a bar and dark matter halo using N-body simulations. We make direct comparisons to our analytic theory to demonstrate the great difficult...
A galaxy remains near equilibrium for most of its history. Only through resonances can non-axisymmetric features, such as spiral arms and bars, exert torques over large scales and change the overall s...
We use some inequalities to study planar Newtonian circular restricted 3- body problems with two equal primaries, we prove that the minimizer of the Lagrangian action on “8” type symmetric loop spaces...
For planar Newtonian N + 2-body (N=3,5)problems with some mass ratios, we prove the existence of new non-collision periodic solutions such that N bodies with equal masses move on one loop and the othe...
Small fraction of isocurvature perturbations may exist and correlate with adiabatic perturbations in the primordial perturbations. Naively switching off isocurvature perturbations may lead to biased r...

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