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1.
刘麟仲  彭秋和 《天文学报》1994,35(4):371-379
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   

2.
何妙福  张捷 《天文学报》1990,31(1):27-38
在IBKM 4341电子计算机上应用Hansen方法和运行Broucke R.开发的Poisson级数展开程序系统,自动推导了木星对Flora群小行星的普遍摄动,将将计算得到的摄动系数表与前人应用Bohlin群法所得相应表作了比对。由此得到结论:1.取代Bohlin群法,用在电子计算机上建立的Hansen方法程序能够既快又精确地计算小行星的普遍摄动;2.对于1000″<n<1100″(n为小行星的周日平均运动,单位以弧秒/日表示)情形,如果小行星轨道的偏心率e和交角i不太大,Stroemberg表是适用的,最大误差不到20″;3.对于n-1047″情形,因此时n′/n-2/7,接近通约状态(n′为木星的周日平均运动),必须计及(2-7)长周期项,而de la Villemarque所给出的公式不够精确;4.对于975″<n<1000″情形,Stromberg表因其精度低而不适用,当e,i较大时尤甚;5.对于n-997″情形,因此时n′/n-3/10,即接近另一种通约状态,必须计及(3-10)长周期项。  相似文献   

3.
黄天衣  王昌彬 《天文学报》1997,38(3):278-287
本文说明对称法在一定意义下是一种积分线性保守动力系统的辛方法.并指出在hλ的左半复平面上存在有一个对称法的相对稳定区域.这里,h是步长而λ是动力系统的特征根.对称法适用于不显含速度的非线性Hamilton系统,但不适用于显含速度的系统.  相似文献   

4.
甘为群 《天文学报》1997,38(4):394-396
白光耀斑研究近年来获得较大进展,对其连续发射起源机制目前流行三种解释.一是耀斑形成过程中所产生的色球凝聚[1-3],二是非热粒子注入大气致氢原子非热激发和电离[4-6],三是色球强加热所引起的对大气深层的辐射反加热[7].这三类解释具有一个共性,即除了自身直接对连续谱  相似文献   

5.
关于数值求解天体运动方程的几个问题   总被引:4,自引:0,他引:4  
刘林  廖新浩 《天文学报》1997,38(1):75-85
本文讨论三个问题:1.在采用各种非辛(Symplectic)的数值积分器积分天体运动方程时,截断误差将引起人为的能量耗散,这一问题是不能用简单地在相应的力模型中加进一个人为的阻力因子而得以解决的,被歪曲的能量(或数值轨道)必须在积分过程的每一步用能量关系来进行校正,此即能量控制方法.2.当摄动加速度涉及到坐标轴的旋转时,如何在各种积分器中采用能量控制方法.3.对于大偏心率轨道,用数值方法求解相应运动方程时,积分步长必须随运动天体与中心天体之间的距离变化而改变,显然,这对所有积分器都是不方便的,特别是多步积分器.本义给出了一种步长均匀化的处理,可以使上述大偏心率轨道积分问题按定步长计算.  相似文献   

6.
对一类具非零角动量的平面三体系统研究其三体构形对系统演化的影响.根据Agekian和Anosova提出的构形图(homology map),三体系统按其构形特点分属于4个不同的区域.通过数值计算,考察了初始位置位于不同区域中的构形颗粒(homolgydrop)的演化,并就有关性质与Heinamaki等人研究的角动量为零的三体系统作了比较指出,构形颗粒的组成系统全部发生解体的时间在L区域最早,H区域最晚,这与零角动量系统不同.还对4个区域的三体系统的寿命进行了统计分析,得到了各区域中末解体的系统数随时间指数衰减的函数关系.  相似文献   

7.
构造描述一类特殊平面圆型限制性三体问题的一个映射,并用这个映射讨论了该类三体问题Lagrange 三角平动点邻近的相空间结构以及它的稳定性,发现当两个主天体的质量比μ< 0 .02165 时,除去μ= 0 .01440 的例外情况,三角平动点被不变曲线包围,是稳定的,这与理论结果相符,由此可解释特罗央群和希腊群小行星的稳定存在.该结果也验证了映射方法的可靠性和有效性  相似文献   

8.
本提出了处理分离的太阳活动体光谱不对称轮廓的一种方法-“多云模型”方法。在某些假设和一定的近似条件下利用本提出的方法可同时得到太阳多个分离活动体的视向速度v,多普勒线宽ΔλD和线心光学深度τ0,源函数S的近似值。章给出了该方法的几个应用实例并进行了讨论。研究表明,计算所得的v和ΔλD的值是较为可靠的,二云模型是处理由两个分离活动体沿视线重叠而产生的不对称轮廓较为有效的方法。  相似文献   

9.
统计分析表明,在目前的观测精度(Imas)下,由于三体效应大多数等级三星系统已不能用经典的双二体运动学模型来描述;即使对于应用需求而言,该模型也不再适用于描述三体视效应较强的等级三星系统.因为在实用星表参考架中不宜采用数据量较大的数值历表来描述子星的运动,所以有必要针对等级三星系统建立尽可能简单实用的运动学模型.借助已有的观测资料和拟合研究结果,给出了6个等级三星系统的质量参数和初始条件,进而根据实用需求讨论了这些系统的运动学描述问题.  相似文献   

10.
本文提出了处理分离的太阳活动体光谱不对称轮廓的一种方法──“多云模型”方法。在某些假设和一定的近似条件下利用本文提出的方法可同时得到太阳多个分离活动体的视向速度V,多普勒线宽△λ_D和线心光学深度τ_0,源函数S的近似值。文章给出了该方法的几个应用实例并进行了讨论。研究表明,计算所得的V和△λ_D的值是较为可靠的,二云模型是处理由两个分离活动体沿视线重叠而产生的不对称轮廓较为有效的方法。  相似文献   

11.
Observational data on the dynamics of stars in the neighborhood of the sun indicate the existence of a third integral besides the integrals of the angular momentum and energy. The Poincaré integral is proposed as a third integral. The consequences of this assumption are derived and compared with available astrophysical data.  相似文献   

12.
介绍和论述了在后牛顿引力理论(PPN形式)中在优越参考系和非优越参考系中经过参数化后引力常数变化对地球自转产生的效应,其中特别重点介绍了年周期变化的效应。此外也将理论结果同观测结果相对比。  相似文献   

13.
耀变体(Blazars)的亮温度与黑洞喷流能量和吸积率有重要关系.搜集了53个耀变体源样本,包括22个蝎虎天体(BL Lacs)和31个平谱射电类星体(Flat Spectrum Radio Quasars,FSRQs),研究了耀变体亮温度与黑洞喷流能量的分布,并对子类中亮温度与黑洞喷流能量的相关性进行了讨论.研究结果...  相似文献   

14.
We have developed a cosmological model for the Earth rotation and planetary acceleration that gives a good account (data) of the Earth astronomical parameters. These data can be compared with the ones obtained using space-base telescopes. The expansion of the universe has shown to have an impact on the rotation of planets, and in particular, the Earth. The expansion of the universe causes an acceleration that is exhibited by all planets.  相似文献   

15.
We present the design concept of the spectropolarimeter for the high‐resolution echelle spectrograph PEPSI tobe installed at the 2 × 8.4 m Large Binocular Telescope (LBT) in Arizona. We discuss the optical key elements, the principles of operations of the instrument and its instrumental polarization effects (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)  相似文献   

16.
Range of values of the Sun's mass quadrupole moment of coefficient J2 arising both from experimental and theoretical determinations enlarge across literature on two orders of magnitude, from around 10-7 until to 10-5. The accurate knowledge of the Moon's physical librations, for which the Lunar Laser Ranging data reach an outstanding precision level, prove to be appropriate to reduce the interval of J2 values by giving an upper bound of J2. A solar quadrupole moment as high as 1.1 10-5 given either from the upper bounds of the error bars of the observations, or from the Roche's theory, is not compatible with the knowledge of the lunar librations accurately modeled and observed with the LLR experiment. The suitable values of J2 have to be smaller than 3.0 10-6. As a consequence, this upper bound of 3.0 10-6 is accepted to study the impact of the Sun's quadrupole moment of mass on the dynamics of the Earth-Moon system. Such as effect (with J2 = 5.5±1.3 × 10-6) has been already tested in 1983 by Campbell & Moffat using analytical approximate equations, and thus for the orbits of Mercury, Venus, the Earth and Icarus. The approximate equations are no longer sufficient compared with present observational data and exact equations are required. As if to compute the effect on the lunar librations, we have used our BJV relativistic model of solar system integration including the spin-orbit coupled motion of the Moon. The model is solved by numerical integration. The BJV model stems from general relativity by using the DSX formalism for purposes of celestial mechanics when it is about to deal with a system of n extended, weakly self-gravitating, rotating and deformable bodies in mutual interactions. The resulting effects on the orbital elements of the Earth have been computed and plotted over 160 and 1600 years. The impact of the quadrupole moment of the Sun on the Earth's orbital motion is mainly characterized by variations of , , and . As a consequence, the Sun's quadrupole moment of mass could play a sensible role over long time periods of integration of solar system models. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

17.
By means of a simple relation between the velocity v of the fluid particle and the velocity vf of the photospheric footpoint of the magnetic field line vz and Bz being respectively the components of v and the magnetic field B normal to the photospheric surface, it is shown formally that through the phtospheric surface the transport of all the quantities attributed to the magnetic field, such as the magnetic flux, the magnetic energy and the helicity, is independent of vz, and vf is the only kinematical quantity on which the transport depends. In addition, in the neighborhood of the neutral line the velocity vl of the moving curve of constant Bz is found to be equal approximately to the component of v or vf in the direction of vl. Since vl can be measured or extimated, so can the components of v and vf near the neutral line.  相似文献   

18.
The solar system's position in the Galaxy is an exclusive one, since the Sun is close to the corotation circle, which is the place where the angular velocity of the galactic differential rotation is equal to that of density waves displaying as spiral arms. Each galaxy contains only one corotation circle; therefore, it is an exceptional place. In the Galaxy, the deviation of the Sun from the corotation is very small — it is equal to ΔR/R ≈0.03, where ΔR=R c ?R ,R c is the corotation distance from the galactic center andR is the Sun's distance from the galactic center. The special conditions of the Sun's position in the Galaxy explain the origin of the fundamental cosmogony timescalesT 1≈4.6×109 yr,T 2?108 yr,T 3?106 yr detected by the radioactive decay of various nuclides. The timescaleT 1 (the solar system's ‘lifetime’) is the protosolar cloud lifetime in a space between the galactic spiral arms. The timescaleT 2 is the presolar cloud lifetime in a spiral arm.T 3 is a timescale of hydrodynamical processes of a cloud-wave interaction. The possibility of the natural explanation of the cosmogony timescales by the unified process (on condition that the Sun is near the state of corotation) can become an argument in favour of the fact that the nearness to the corotation is necessary for the formation of systems similar to the Solar system. If the special position of the Sun is not incidental, then the corotation circles of our Galaxy, as well as those of other galaxies, are just regions where situations similar to ours are likely to be found.  相似文献   

19.
Perturbations in the motion of the Moon are computed for the effect by the oblateness of the Earth and for the indirect effect of planets. Based on Delaunay's analytical solution of the main problem, the computations are performed by a method of Fourier series operation. The effect of the oblateness of the Earth is obtained to the second order, partly adopting an analytical evaluation. Both in longitude and latitude are found a few terms whose coefficient differs from the current lunar ephemeris based on Brown's theory by about 0.01. While, concerning the indirect effect of planets, several periodic terms in the current ephemeris seem to have errors reaching 0.05.As for the secular variations of and due to the figure of the Earth and the indirect effect of planets, the newly-computed values agree within 1/cy with Brown's results reduced to the same values of the parameters. Further, the accelerations in the mean longitude, and caused by the secular changes in the eccentricity of the Earth's orbite and in the obliquity of the ecliptic are obtained. The comparison with Brown shows an agreement within 0.3/cy2 for the former cause and 0.02/cy2 for the latter. An error is found in the argument of the principal term for the perturbations due to the ecliptic motion in the current ephemeris.Proceedings of the Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets. Facultés universitaires Notre Dame de la Paix, Namur, Belgium, 28–31 July, 1980.  相似文献   

20.
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