ON THE SENSITIVITY OF THE N-BODY PROBLEM TO SMALL CHANGES IN INITIAL CONDITIONS .2.

被引:22
作者
KANDRUP, HE [1 ]
SMITH, H [1 ]
机构
[1] UNIV FLORIDA,INST FUNDAMENTAL THEORY,GAINESVILLE,FL 32611
关键词
METHODS; NUMERICAL;
D O I
10.1086/171045
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
This paper continues a numerical investigation (begun in Paper I) of the microscopic instability of the gravitational N-body problem toward small changes in initial conditions. Attention focuses on three issues, namely (1) the scale invariance of the nonlinear evolution of an initial perturbation; (2) the effects of allowing for a system comprised of two mass species, m1 and m2 = 5m1; and (3) possible differences arising for special initial conditions corresponding to a collisionless equilibrium. In a precise sense, scale invariance is found to obtain for simulations with an initial virial ratio Q0 = 1.0, which entail no systematic expansion or contraction. Allowing for two mass species is seen to introduce no systematic effects on short time scales of the order of the average e-folding time t*. However, this complication does have an effect at later times, at least for simulations with Q0 = 0.5, resulting in (1) a systematic increase in the rate at which initial perturbations grow and (2) differences in the behavior of the two mass components which correlate (at least in certain cases) with the phenomenon of mass segregation. These qualitative conclusions remain completely unchanged for the special in initial conditions is completely consistent with a macroscopic "equilibrium."
引用
收藏
页码:635 / 645
页数:11
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