A Counterexample to a Generalized Saari's Conjecture with a Continuum of Central Configurations

In this paper we show that in the n-body problem with harmonic potential one can find a continuum of central configurations for n= 3. Moreover we show a counterexample to an interpretation of Jerry Marsden Generalized Saari's conjecture. This will help to refine our understanding and formulation of the Generalized Saari's conjecture, and in turn it might provide insight in how to solve the classical Saari's conjecture for n≥ 4. This revised version was published online in July 2006 with corrections to the Cover Date.     

天体周日视运动过程中天体高度的变化率

天体周日视运动过程中天体的高度不断变化,对天体观测的质量有直接的影响,通过分析天体周日视运动过程中天体高度的变化率,给出不同观测时机进行天体高度观测的特性,并用曲线图的形式给出天体高度变化率的极值点和零值点。航海人员可以从更深的层次认识天体周日视运动的规律,指导天文定位过程中对天体高度的观测。     

Tidally distorted accretion discs in binary stars

The non-axisymmetric features observed in the discs of dwarf novae in outburst are usually considered to be spiral shocks, which are the non-linear relatives of tidally excited waves. This interpretation suffers from a number of problems. For example, the natural site of wave excitation lies outside the Roche lobe, the disc must be especially hot, and most treatments of wave propagation do not take into account the vertical structure of the disc.
In this paper I construct a detailed semi-analytical model of the non-linear tidal distortion of a thin, three-dimensional accretion disc by a binary companion on a circular orbit. The analysis presented here allows for vertical motion and radiative energy transport, and introduces a simple model for the turbulent magnetic stress. The   m =2  inner vertical resonance has an important influence on the amplitude and phase of the tidal distortion. I show that the observed patterns find a natural explanation if the emission is associated with the tidally thickened sectors of the outer disc, which may be irradiated from the centre. According to this hypothesis, it may be possible to constrain the physical parameters of the disc through future observations.     

星点亚像元细分定位精度分析

星点的精确定位为后续的导航解算提供数据支撑。基于高斯分布原理进行星点模拟,为星点定位提供图像数据。分别介绍了质心法和高斯曲面拟合法的亚像元细分定位原理,并研究系统误差、随机噪声、分割阈值、星等和星点坐标分布5个因素对星点定位精度的影响,分析两种方法的异同点。对模拟的星点进行定位分析发现,星点距离参考点越远定位误差越大,定位精度随噪声增大而降低。实验表明,相比高斯曲面拟合方法,质心法具有更好的实用性,其定位精度对星点的像元信息依赖性较小。     

Roche volume filling and the dissolution of open star clusters

From direct N‐body simulations we find that the dynamical evolution of star clusters is strongly influenced by the Roche volume filling factor. We present a parameter study of the dissolution of open star clusters with different Roche volume filling factors and different particle numbers. We study both Roche volume underfilling and overfilling models and compare with the Roche volume filling case. We find that in the Roche volume overfilling limit of our simulations two‐body relaxation is no longer the dominant dissolution mechanism but the changing cluster potential. We call this mechanism “mass‐loss driven dissolution” in contrast to “two‐body relaxation driven dissolution” which occurs in the Roche volume underfilling regime. We have measured scaling exponents of the dissolution time with the two‐body relaxation time. In this experimental study we find a decreasing scaling exponent with increasing Roche volume filling factor. The evolution of the escaper number in the Roche volume overfilling limit can be described by a log‐logistic differential equation. We report the finding of a resonance condition which may play a role for the evolution of star clusters and may be calibrated by the main periodic orbit in the large island of retrograde quasiperiodic orbits in the Poincaré surfaces of section. We also report on the existence of a stability curve which may be of relevance with respect to the structure of star clusters. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)