PSR J1701—3726脉冲消零现象研究

利用Parkes 64 m射电望远镜在中心频率为1369 MHz的观测数据, 分析了PSR J1701—3726的脉冲消零现象, 发现这颗星的脉冲消零现象存在准周期性, 准周期值约为81.25P, 其中P为PSR J1701—3726的自旋周期, 并计算出脉冲消零比(Nulling Fraction, NF)为27% ± 0.97%. 进一步研究单脉冲在脉冲辐射窗口区域的相对能量随时间的变化关系, 发现在消零态和爆发态之间存在a、b、c、d共4种不同的切换模式, 其中, a模式出现23次, b模式出现6次, c模式出现5次, d模式出现79次, 表明状态转换可能存在一定的随机性.     

Estimates for the luminosity function of galaxies and its evolution

A new method is presented to obtain a non-parametric maximum likelihood estimate of the luminosity function and the selection function of a flux-limited redshift survey. The method parametrizes the selection function as a series of stepwise power laws and allows possible evolution of the luminosity function. We also propose a new technique to estimate the rate of evolution of the luminosity function. This is based on a minimization of the observed large-scale power with respect to the evolutionary model. We use an ensemble of mock surveys extracted from an N -body simulation to verify the power of this method. We apply our estimators to the 1.2-Jy survey of IRAS galaxies. We find a far-infrared luminosity function in good agreement with previously published results and evidence for rather strong evolution. If the comoving number density of IRAS galaxies is assumed to scale ∝ (1 +  z ) ^P , we estimate P  = 4.3 ± 1.4.     

Kepler Equation solver

Kepler's Equation is solved over the entire range of elliptic motion by a fifth-order refinement of the solution of a cubic equation. This method is not iterative, and requires only four transcendental function evaluations: a square root, a cube root, and two trigonometric functions. The maximum relative error of the algorithm is less than one part in 10¹⁸, exceeding the capability of double-precision computer arithmetic. Roundoff errors in double-precision implementation of the algorithm are addressed, and procedures to avoid them are developed.     

Parameter information from non-linear cosmological fields

We develop a general formalism for analysing parameter information from non-Gaussian cosmic fields. The method can be adapted to include the non-linear effects in galaxy redshift surveys, weak lensing surveys and cosmic velocity field surveys as part of parameter estimation. It can also be used as a test of non-Gaussianity of the cosmic microwave background. Generalizing maximum-likelihood analysis to second order, we calculate the non-linear Fisher information matrix and likelihood surfaces in parameter space. To this order we find that the information content is always increased by including non-linearity. Our methods are applied to a realistic model of a galaxy redshift survey, including non-linear evolution, galaxy bias, shot-noise and redshift-space distortions to second order. We find that including non-linearities allows all of the degeneracies between parameters to be lifted. Marginalized parameter uncertainties of a few per cent will then be obtainable using forthcoming galaxy redshift surveys.     

脉冲星射电辐射束半径与周期关系的研究

脉冲星的周期非常稳定.前人通过研究发现脉冲星射电辐射束半径大小应该正比于周期的-1/3或-1/2次方.通过整理收集了87颗信噪比很好的、偏振位置角明显为"S"曲线的脉冲星数据,用脉冲星辐射束几何模型计算得到了每颗脉冲星的辐射束半径及误差.发现脉冲星周期小于0.85 s时,辐射束半径正比于周期的-1/2次方.周期大于0.85 s时,辐射束半径与周期之间并没有明显的幂律关系,但这可能与选择效应有关.当假设脉冲星的磁倾角为90?时,计算得到的辐射束半径随周期分布的下边界正比于周期的-1/2次方,与前人的结论一致.     

Electron density diagnostic potential of the Si x ion and its application in Procyon

Theoretical electron density sensitive line ratios   R ₁– R ₆  of Si  x soft X-ray emission lines are presented. We found that these line ratios are sensitive to electron density n _e, and the ratio R ₁ is insensitive to electron temperature T _e. For reliable determination of the electron density of laboratory and astrophysical plasmas, atomic data, such as electron impact excitation rates, are very important. Our results reveal that the discrepancy of the line ratios from different atomic data calculated with the distorted wave (DW) approximation and the R-matrix method is up to 19 per cent at   n _e= 2 × 10⁸ cm⁻³  . We applied the theoretical intensity ratio R ₁ to the Low Energy Transmission Grating Spectrometer (LETGS) spectrum of the solar-like star Procyon. By comparing the observed value (1.29) with the theoretical calculation, the derived electron density n _e is  2.6 × 10⁸ cm⁻³  , which is consistent with that derived from  (C  v < 8.3 × 10⁸ cm⁻³)  . When the temperature structure of the Procyon corona is taken into account, the derived electron density increases from   n _e= 2.6 × 10⁸  to  2.8 × 10⁸ cm⁻³  .