Gravitational Radiation of Relativistic <Emphasis Type="Italic">n</Emphasis> = 1 Polytropes

The gravitational radiation of n = 1 polytropes undergoing quasiradial pulsations is examined. The intensity of the gravitational radiation and the gravitational wave amplitudes are calculated for polytropic models of white dwarfs and neutron stars when the energy of rotation of the object serves as the source of the radiated energy. Calculations of h₀ show that objects with a polytropic equation of state can describe the expected gravitational radiation from white dwarfs and neutron stars. The gravitational radiation of polytropic models of galactic nuclei and quasars is also examined. These objects can create a high enough background of gravitational radiation at frequencies of 10^-8–10^-11 Hz for gravitational wave detectors operating in this frequency range. __________ Translated from Astrofizika, Vol. 48, No. 4, pp. 603–612 (November 2005).     

质心运动的视超光速源的运动规律

在源的质心固定的视超光速模型的基础上，进一步出在质心运动情况下的视超光速运动的视速度议程，在喷流方向与源的退行方面相反的情况下，推导核与子源速率相等及核固定条件下子源真实速度的方程，然后代入视速度和由自康顿效应推算的喷流与视线的夹角数据，从而求出上述极值条件下子源的真实速度，再与对应源的哈勃红移速度相对照，结果发现，源的运动对其子源的速度没有影响。     

Faster-than-light motion in quasars

Over the past fifteen years, observations of some quasars with the techniques of very-long-baseline interferometry have shown that the angular separation between pairs of radio-emitting regions in their cores is increasing year after year. If the quasars are indeed as far away as implied by Hubble’s law, then these angular motions translate into linear speeds several times the speed of light. Several theoretical scenarios have been proposed to show that the observed motions are illusory. The leading contender in this field — the relativistic beam model — and an alternative offered by the concept of a gravitational screen are described and compared in the light of recent observational data.     

相对论大地测量

概述了相对论基本原理，综合阐述了大地测量领域的多种相对论效应，其中包括参考系、空间大地测量、重力测量以及惯性测量等方面的相对论效应，最后指出了目前有待解决的问题。     

Non-canonical perturbations in symplectic integration

The inclusion of non-canonical perturbations in symplectic integration schemes has been discussed. A rigorous derivation of an analog for theWisdom–Holman (1991) method, such that velocity dependent forces can be included, has been outlined. This is done both by using the δfunction formalism and also by means of formal Hamiltonization. Application to the relativistic corrections in Solar System integrations is discussed as an example. Numerical experiments confirm the usefulness of the method. This revised version was published online in July 2006 with corrections to the Cover Date.     

A Theoretical Study Of The Whistler Mode Instability At The Uranian Bow Shock

Relativistic whistler wave mode with a perpendicular AC electric field has been studied for generalized distribution function with an index j, which is reducible to bi-Maxwellian for j = 0, loss-cone for j = 1 and delta function for j = ∞. Based on particle trajectories, the dispersionrelation is obtained using the techniques of a kinetic approach anda method of characteristic solutions Calculations are compassed with observations of low frequency waves of Voyager 2 The growth rates for the plasma parameters suited to the magnetosphere of Uranus are obtained. It is inferred that, not the magnitude but the frequency of the AC field, influences the growth rate. In addition to the temperature anisotropy, plasma particles having a loss-cone provide an additional source of energy. The relativistic electrons along with increasing the growth rate, widen the band width so as to cover a wide frequency range thus may explain the entire spectrum of whistler emissions at Uranian bow shock. This revised version was published online in July 2006 with corrections to the Cover Date.     

Relativistic Correction of Neutrino Emission in Neutron Stars

By the relativistic mean field theory and relevant weak-interactional cooling theory, the relativistic cooling properties in the conventional and hyperonic neutron star matter are studied. Also a comparison between the relativistic and non-relativistic results after taking consideration of the gravity correction is performed. The results show that the relativistic effect of neutrino emission reduces the neutrino emissivity, luminosity, and the cooling rate of stellar objects, in comparison with the non-relativistic case. In the neutron star matter without hyperon, the amplitude of the cooling rate reduction caused by the relativistic effect is maximal after taking the gravity correction into consideration, it attains 56% for a 2 M_⊙ neutron star composed of conventional neutron star matter, and in the hyperonic matter the amplitude of reduction is minimal, about 38%.     

关于DSX体系下的广义相对论（1PN）流体力学问题的探讨

使用ＤＳＸ 体系对于广义相对论（１ＰＮ） 的一般流体和理想流体均作了初步的探讨,建立了一种既适用于局部坐标系又适用于整体坐标系的解决广义相对论流体力学的新方法．对于一般流体,利用Ｍａｐｌｅ 软件计算了精确到ｃ－ ４ 项的能量动量张量Ｔａｂ 的结构,经过化简整理代到描述流体运动的基本方程中,得到了ＤＳＸ 体系下一般流体的基本方程,这是在局部坐标系中的结果,通过局部坐标和整体坐标之间的变换关系,可得整体坐标下物体的运动状态．另外,还给出了ＤＳＸ 体系下的理想流体力学的表示形式,通过将理想流体力学中一般的量改写为该体系下的量,从而改写了理想流体的Ｅｕｌｅｒ 方程和能量方程     

On thermodynamics of fluids,solids and superconductors

We derive the relativistic Carnot-Clausius relation and the set of fundamental equations of the thermodynamic system with the aid of Neugebauer's variational principle for several media. Some equations are already well-known in the literature but here we obtain the full set from a uniform point of view.     

Electron impact excitation rate coefficients of N II ion

This paper calculates the electron impact excitation rate coefficients from the ground term 2s²2p^{2 3}P to the excited terms of the 2s²2p², 2s2p³, 2s²2p3s, 2s²2p3p, and 2s²2p3d configurations of N II. In the calculations, multiconfiguration Dirac--Fork wave functions have been applied to describe the target-ion states and relativistic distorted-wave calculation has been performed to generate fine-structure collision strengths. The collision strengths are then averaged over a Maxwellian distribution of electron velocities in order to generate the effective collision strengths. The calculated rate coefficients are compared with available experimental and theoretical data, and some good agreements are found for the outer shell electron excitations. But for the inner shell electron excitations there are still some differences between the present calculations and available experiments.