共查询到20条相似文献,搜索用时 678 毫秒
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标量张量理论是目前为止最成功的相对论性引力理论之一,经受住了已有实验和观测的检验.随着实验和观测精度的提高,理论将得到进一步的检验.为此将该理论的可观测效应计算到二阶后牛顿近似非常必要.标量张量理论的二阶后牛顿近似结果已经由Xie等人给出.为得到有质量粒子在弱引力场中的偏转情况,利用二阶后闵可夫斯基近似下的度规解得到了粒子的测地线方程,并通过迭代的方法求得在非束缚条件下,粒子在弱引力场中的轨迹的解析解.进一步利用此结果计算了粒子在弱引力场中的偏转角(与光线的偏转角不同)并与前人的结果进行了比较. 相似文献
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大质量双黑洞OJ287是一个强引力辐射源.为了探测其引力波信号,需要知道波形,而这主要是由轨道运动所决定.为此,从广义相对论3.5阶后牛顿近似的运动方程出发对OJ287的轨道进行仔细研究,取大黑洞位置固定作为近似,给出了后牛顿近似下3.5阶的次黑洞轨道解,比他人2.5阶的工作高了一阶.次黑洞撞击吸积盘面到光学爆发存在时间延迟,这对于确定轨道参数有很大影响.利用径向距离与爆发时间关系的线性模型,对最近7次爆发时刻的观测值拟合,给出了更精确的OJ287双黑洞的轨道参数及其运动轨道.分析了计算结果,研究运动特征,并且发现了两个新性质:次黑洞进动在初期增加,在晚期接近并和时,进动达到最大值,然后减小并越过0而趋于负值.尚不能确定晚期的这个行为是否由3.5阶近似不够准确所造成.运动方程中耗散性的辐射项,后牛顿2.5阶和3.5阶的系数具有相反的符号.这意味着3.5阶项反而是从外界吸收能量.但2.5阶与3.5阶之和仍然是向外辐射引力波的,体系能量变化率为负.这个工作的计算结果可以用来更精确地计算OJ287的引力辐射. 相似文献
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本文给出考虑后牛顿(PN)效应的二体问题解所对应的基本关系式,并仿照开普勒(Kepler)运动,给出星历表计算方法和相应的计算公式以及适用于数值研究中的简单形式。 相似文献
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人造地球卫星轨道摄动二阶分析解的推导和结果都非常烦,本文在保持分析解优点的前提下,给出三种改进方法.其中椭圆摄动理论与中间轨道理论相结合的方法,有明显的优点,推导过程和结果都很简单,它不仅适用于二阶解,对于一阶解或高阶解用起来也是方便的. 相似文献
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Starting from the differential equation of motion of photons on equatorial plane and in spherically symmetric field of gravitation and adopting the post-Newtonian approximate method, the post-post-Newtonian amendments of radar echo delay test in the Reissner-Nordström metric field are investigated. Via calculations the post-Newtionian and post-post-Newtonian amendments are obtained. When the electric charge Q is equal to zero, these results are applicable to electrically neutral celestial bodies, and the amendments of post-Newtonian parts are consistent with those provided by classical literature. The approximate expansion used in this paper can also be adopted to probe the amendments of still higher orders. The high-order amendments for radar echo have important significance to the ongoing high-precision spatial gravitation tests. 相似文献
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Walter Petry 《Astrophysics and Space Science》1994,211(1):71-91
Starting from a previously studied theory of gravitation in flat space-time the post-Newtonian approximation of the gravitational field of an nonstationary spherically symmetric star is derived. To the post-Newtonian order the equations of motion and the conserved total energy of a collapsing star are given. Birkhoff's theorem holds to this accuracy. 相似文献
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Walter Petry 《Astrophysics and Space Science》1992,189(1):63-77
The post-Newtonian approximation of the gravitational field of a perfect fluid for a previously stated theory of gravitation in flat space-time is studied. The conservation laws of energy-momentum and angular-momentum are derived and the equivalence of the conservation law of energy-momentum and the equations of motion is shown to the studied accuracy. The equations of motion are stated. All the results of the post-Newtonian approximation of the gravitation theory in flat space-time and of the general theory of relativity, as considered by Will in his famous book, agree to the studied accuracy. 相似文献
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The first post-Newtonian approximation of general relativity is used to account for the motion of solar system bodies and near-Earth objects which are slow moving and produce weak gravitational fields. The \(n\)-body relativistic equations of motion are given by the Einstein-Infeld-Hoffmann equations. For \(n=2\), we investigate the associated dynamics of two-body systems in the first post-Newtonian approximation. By direct integration of the associated planar equations of motion, we deduce a new expression that characterises the orbit of test particles in the first post-Newtonian regime generalising the well-known Binet equation for Newtonian mechanics. The expression so obtained does not appear to have been given in the literature and is consistent with classical orbiting theory in the Newtonian limit. Further, the accuracy of the post-Newtonian Binet equation is numerically verified by comparing secular variations of known expression with the full general relativistic orbit equation. 相似文献
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P. Bouvier 《Astrophysics and Space Science》1982,87(1-2):105-116
The scale covariant theory of gravitation, outlined by Dirac (1973), later developed by Canutoet al. (1977), revisited by Maeder and Bouvier (1978, 1979), takes into account the possible relative changes in the system of units associated with different physical interactions; in this respect, it represents a generalization of the General Relativity Theory. In the line of the latter aforementioned papers, we study here the case of a weak gravitational field, well suited to the inner motions of a star or galaxy cluster, in order to see whether the post-Newtonian approximation scheme can consistently fit into the scale covariant formalism. Such a task turns out to be feasible when the gauge terms met in the field equations are handled in an appropriate way, but only if the gauge or metrical connection vector is inversely proportional to cosmic time, as it should be in consequence of the outer boundary condition imposed on the solution of the field equations describing the Newtonian and the first post-Newtonian approximation. 相似文献
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本文用后-后牛顿近似讨论Kerr场中缓慢粒子的运动,我们用Boyer-Lindquist坐标,导出试验粒子的运动方程,把它与有心力场中粒子作二体运动之球坐标形式下的运动方程对比,得出由于Kerr场的作用而引起的试验粒子的等效摄动加速度,利用球面三角公式把它换算到行星运动摄动方程的形状,对摄动方程进行积分,我们得出了试验粒子绕中心天体运动一周后粒子轨道根数的变化以及单位时间中轨道根数的平均变化,运用 相似文献
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《Chinese Astronomy and Astrophysics》2007,31(2):192-204
Under the post-Newtonian approximation, the internal and external metrics of a rigidly rotating oblate spheroid filled by a uniform and incompressible perfect fluid are obtained. And the analytic solutions of post-Newtonian metric components are derived by using the series expansion in an ellipsoidal coordinate system. For this specific problem, there are only finite terms remaining in the series expansion, so the obtained results can be used to study particle motion under these metrics. 相似文献
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Based on the 2nd-order post-Newtonian approximation under the DSX frame of the general relativity theory, the 2nd-order post-Newtonian orbital equation of light in the axis-symmetrical stationary spacetime is derived, and from this, the angle of deflection of light propagating in the equatorial plane is derived. The obtained results are consistent with those of the Schwarzchild and Kerr metrics within the limits of measuring precision. 相似文献
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Yi Xie 《中国天文和天体物理学报》2014,(9)
With the rapid development of techniques for astronomical observations,the precision of measurements has been significantly increasing. Theories describing astronomical relativistic reference systems, which are the foundation for processing and interpreting these data now and in the future, may require extensions to satisfy the needs of these trends. Besides building a framework compatible with alternative theories of gravity and the pursuit of higher order post-Newtonian approximation, it will also be necessary to make the first order post-Newtonian multipole moments of celestial bodies be explicitly expressed in the astronomical relativistic reference systems.This will bring some convenience into modeling the observations and experiments and make it easier to distinguish different contributions in measurements. As a first step,the global solar system reference system is expressed as a multipolar expansion and the post-Newtonian mass and spin moments are shown explicitly in the metric which describes the coordinates of the system. The full expression of the global metric is given. 相似文献