共查询到20条相似文献，搜索用时 109 毫秒
1.
研究三体系统的长期共振效应,有助于了解系统的稳定性。在雅可比坐标系下建立了第三体摄动一般运动模型,将摄动函数按照半长径之比展开到十六极矩。通过对摄动函数进行轨道双重平均,消除了内外轨道的短周期项。基于限制性三体模型,分别在内摄和外摄两类情形下进行讨论。外摄情形下十六极矩项对系统结构的演化只有微弱的影响,而内摄情形下系统会出现新的共振和混沌现象。在圆型内摄情形下,系统出现了类似于Lidov-Kozai效应的近点共振。区别于Lidov-Kozai效应只在近心点幅角ω2=±90?时可能存在平衡点,十六极矩近似下,在ω2为0?和180?时也可能存在平衡点。角动量Z轴分量的取值会影响共振平衡点的数量、位置和稳定性。在椭圆型内摄情形下,系统在十六极矩近似下激发出新的轨道翻转,且翻转没有周期性,呈现混沌现象。十六极矩近似下的轨道翻转明显区别于八极矩近似下的轨道翻转,特别是,当半长径之比相当大时,十六极矩近似下偏心率的振幅明显大于八极矩近似下偏心率的振幅。 相似文献
2.
本文以较一般的方式讨论了自引力介质中线性波的传播和演化。在一种特殊情形下,得到熟知的Jeans公式;在另一特殊情形下,得到自引力介质中不稳定波的一个重要性质:等相面“冻结”于运动的物质之中。当基态运动为剪切流(或较差旋转)时,这一性质将使不稳定波自动演化到准稳阶段。这表明在自引力介质中,为抑制不稳定波的无限增长,除了通常的非线性效应外,在线性理论范畴内还存在一种特有的机制。最后讨论了这一效应与天体起源过程可能存在的联系。 相似文献
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太阳质量损失对高阶行星轨道的长期影响 总被引：1，自引：0，他引：1
在文[1]研究的基础上给出了太阳质量损失对三阶行星轨道的影响解，并计算了二、三阶解的长期效应的数值结果。理论结果表明，在三阶解中对于质量变化模型κ=3的情形，太阳质量损失对轨道半长轴继续产生长期项、混合项和周期项，但对轨道偏心率和近点角距只产生周期项，三阶解的效应值虽小，但有定性意义。 相似文献
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强作用对奇异星观测效应的影响 总被引：1，自引：0，他引：1
奇异星是类似于中子星的曲奇异夸克物质组成的致密天体。本文研究了夸克这间的强作用对奇异星观测效应的影响。我们认为：（１）中子星转变为奇异星的行为是一种大的周期突变（ｇｌｉｔｃｈ）现象，这种现象取决于夸克间的强作用；（２）强作用使高温奇异星的振动阻尼也有效，这可能是驱动超新星爆发的新机制；（３）强作用加强了高温情形下奇异星和中子星在转动上的差别，奇异星的最小周期比中子星的小。 相似文献
7.
俞允强 《中国天文和天体物理学报》1985,(2)
我们讨论了荷电星核坍缩中的光学表现。在QM的情形下,若坍缩形成奇点,在光学上将可看到有限时间内发生的无限红移和光强的消失。但奇点的形成不象是一种实际的可能。更可能是形成稳定的振荡位形。如果Q与M很接近,这种位形能有很大的红移。 相似文献
8.
岳曾元 《中国天文和天体物理学报》1989,(2)
本文给出对于臂数m≥2的旋涡星系(正常旋涡星系或棒旋星系),对任意旋臂倾角(0≤|β|≤π/2)一致有效的扰动密度-扰动引力势渐近关系。在|β|≤1的特殊情形,它回到紧卷波的各种已知渐近关系;在|β|不小的情形,这一新结果适用于讨论构成棒旋星系的“开展模式”(open mode)。 相似文献
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在单轴晶体光轴任意取向的情形下应用惠更斯原理导出了双折射滤光片产生位相差的精确公式,结合几种熟知的特殊情形进行了简要讨论,给出完全一致的相关结果,揭示该普遍公式的正确性.针对光轴标定误差小的晶片,对普遍公式进行相应的近似,进一步分析了晶片定轴误差对宽视场双折射滤光器视场的影响,说明引入适当的光轴定向微扰误差可以增大滤光器某一方位角处的视场. 相似文献
11.
The model first introduced by Raga & Cantó in which astrophysical jets are deflected on passing through an isothermal high‐density region is generalized by taking into account gravitational effects on the motion of the jet as it crosses the high‐density cloud. The problem is also generalized for relativistic jets in which gravitational effects induced by the cloud are neglected. Two further cases, classical and relativistic, are discussed for the cases in which the jet is deflected on passing through the interstellar gas of a galaxy in which a dark matter halo dominates the gravitational potential. The criteria for the stability of jets due to the formation of internal shocks are also discussed. 相似文献
12.
N. Chamel 《Monthly notices of the Royal Astronomical Society》2008,388(2):737-752
Both relativistic and non-relativistic two-fluid models of neutron star cores are constructed, using the constrained variational formalism developed by Brandon Carter and co-workers. We consider a mixture of superfluid neutrons and superconducting protons at zero temperature, taking into account mutual entrainment effects. Leptons, which affect the interior composition of the neutron star and contribute to the pressure, are also included. We provide the analytic expression of the Lagrangian density of the system, the so-called master function, from which the dynamical equations can be obtained. All the microscopic parameters of the models are calculated consistently using the non-relativistic nuclear energy density functional theory. For comparison, we have also considered relativistic mean field models. The correspondence between relativistic and non-relativistic hydrodynamical models is discussed in the framework of the recently developed 4D covariant formalism of Newtonian multifluid hydrodynamics. We have shown that entrainment effects can be interpreted in terms of dynamical effective masses that are larger in the relativistic case than in the Newtonian case. With the nuclear models considered in this work, we have found that the neutron relativistic effective mass is even greater than the bare neutron mass in the liquid core of neutron stars. 相似文献
13.
V. G. Turyshev 《Astronomy Letters》2009,35(4):215-234
We study the impact of relativistic gravitational deflection of light on the accuracy of future Space Interferometry Mission
(SIM). We estimate the deflection angles caused by the monopole, quadrupole and octupole components of gravitational fields
for a number of celestial bodies in the solar system. We observe that, in many cases, the magnitude of the corresponding effects
is significantly larger than the 1 μas accuracy expected from SIM. This fact argues for the development of a relativistic
observational model for the mission that would account for the influence of both static and time-varying effects of gravity
on light propagation. Results presented here are different from the ones obtained elsewhere by the fact that we specifically
account for the differential nature of the future SIM astrometric measurements. We also obtain an estimate for the accuracy
of possible determination of the Eddington’s parameter γ via SIM global astrometric campaign; we conclude that accuracy of ∼7 × 10−6 is achievable via measurements of deflection of light by solar gravity.
The article was translated by the authors. 相似文献
14.
Relativistic effects on parallel whistler-mode propagation and instability are considered analytically in some limiting cases relevant to magnetospheric and/or astrophysical conditions. The corresponding wave dispersion equation for a weakly relativistic anisotropic plasma is expressed in terms of generalized Shkarofsky functions. Asymptotic presentation of these functions is found in the limit of large wave refractive indices. Based on this presentation, a new analytical expression for whistler-mode refractive index is obtained and analysed. It is pointed out that relativistic effects increase the value of anisotropy above which the waves are unstable, in agreement with the results of the earlier numerical analysis. This increase is particularly important for whistler-mode propagation in a rarefied, hot plasma but could be potentially observed in the magnetosphere of the Earth in the region outside the plasmasphere. 相似文献
15.
Large amplitude ion-acoustic (IA) soliton in a fully relativistic plasma consisting of relativistic cold ions and relativistic degenerate electrons and positrons are investigated. It is shown that the features of IA soliton are strengthened increasingly with relativistic effects. The relativistic degeneracy of electrons and positrons acts in opposite way on the properties of the IA soliton. The latter becomes more flatten in the first case and narrower in the second one. 相似文献
16.
There is a growing population of relativistically relevant minor bodies in the Solar System and a growing population of massive
extrasolar planets with orbits very close to the central star where relativistic effects should have some signature. Our purpose
is to review how general relativity affects the orbital dynamics of the planetary systems and to define a suitable relativistic
correction for Solar System orbital studies when only point masses are considered. Using relativistic formulae for the N body
problem suited for a planetary system given in the literature we present a series of numerical orbital integrations designed
to test the relevance of the effects due to the general theory of relativity in the case of our Solar System. Comparison between
different algorithms for accounting for the relativistic corrections are performed. Relativistic effects generated by the
Sun or by the central star are the most relevant ones and produce evident modifications in the secular dynamics of the inner
Solar System. The Kozai mechanism, for example, is modified due to the relativistic effects on the argument of the perihelion.
Relativistic effects generated by planets instead are of very low relevance but detectable in numerical simulations. 相似文献
17.
《New Astronomy》2022
In this paper, general sufficiently analytical formulae are developed for the arbitrary order generalized relativistic Fermi-Dirac (FD) functions. Analytical assessment of relativistic FD function is very important for various fields of physics especially in the theory of relativistic nondegenerate and degenerate electron gas systems. One of the more appropriate and correct approximations is based on a binomial expansion method and incomplete Gamma functions that have been used in the calculations of the generalized relativistic FD functions. Note that, the established expression in special cases of specific values of parameters becomes the evaluation formulae of other type FD functions. Calculation results of the generalized relativistic FD functions are compared with the other approximations methods and available numerical approaches and demonstrated satisfactory agreement. 相似文献
18.
S.J. Aarseth 《Astrophysics and Space Science》2003,285(2):367-372
We discuss a new N-body simulation method for studying black hole binary dynamics. This method avoids previous numerical problems due to large
mass ratios and trapped orbits with short periods. A treatment of relativistic effects is included when the associated time-scale
becomes small. Preliminary results with up to N = 2.4 × 10
5 particles are obtained showing systematic eccentricity growth until the relativistic regime is reached, with subsequent coalescence
in some cases.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
19.
Megan Govender Roy Maartens Sunil D. Maharaj 《Monthly notices of the Royal Astronomical Society》1999,310(2):557-564
Relaxational effects in stellar heat transport can in many cases be significant. Relativistic Fourier–Eckart theory is inherently quasi-stationary, and cannot incorporate these effects. The effects are naturally accounted for in causal relativistic thermodynamics, which provides an improved approximation to kinetic theory. Recent results, based on perturbations of a static star, show that relaxation effects can produce a significant increase in the central temperature and temperature gradient for a given luminosity. We use a simple stellar model that allows for non-perturbative deviations from staticity, and confirms qualitatively the predictions of the perturbative models. 相似文献
20.
Estelle Asseo Alain Riazuelo 《Monthly notices of the Royal Astronomical Society》2000,318(4):983-1004
The properties of waves able to propagate in a relativistic pair plasma are at the basis of the interpretation of several astrophysical observations. For instance, they are invoked in relation to radio emission processes in pulsar magnetospheres and to radiation mechanisms for relativistic radio jets. In such physical environments, pair plasma particles probably have relativistic, or even ultrarelativistic, temperatures. Besides, the presence of an extremely strong magnetic field in the emission region constrains the particles to one-dimensional motion: all the charged particles strictly move along magnetic field lines.
We take anisotropic effects and relativistic effects into account by choosing one-dimensional relativistic Jűttner–Synge distribution functions to characterize the distribution of electrons and/or positrons in a relativistic, anisotropic pair plasma. The dielectric tensor, from which the dispersion relation associated with plane wave perturbations of such a pair plasma is derived, involves specific coefficients that depend on the distribution function of particles. A precise determination of these coefficients, using the relativistic one-dimensional Jűttner–Synge distribution function, allows us to obtain the appropriate dispersion relation. The properties of waves able to propagate in anisotropic relativistic pair plasmas are deduced from this dispersion relation. The conditions in which a beam and a plasma, both ultrarelativistic, may interact and trigger off a two-stream instability are obtained from this same dispersion relation. Two astrophysical applications are discussed. 相似文献
We take anisotropic effects and relativistic effects into account by choosing one-dimensional relativistic Jűttner–Synge distribution functions to characterize the distribution of electrons and/or positrons in a relativistic, anisotropic pair plasma. The dielectric tensor, from which the dispersion relation associated with plane wave perturbations of such a pair plasma is derived, involves specific coefficients that depend on the distribution function of particles. A precise determination of these coefficients, using the relativistic one-dimensional Jűttner–Synge distribution function, allows us to obtain the appropriate dispersion relation. The properties of waves able to propagate in anisotropic relativistic pair plasmas are deduced from this dispersion relation. The conditions in which a beam and a plasma, both ultrarelativistic, may interact and trigger off a two-stream instability are obtained from this same dispersion relation. Two astrophysical applications are discussed. 相似文献