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1.
中心体自转对天体轨道要素变化的后牛顿效应   总被引:2,自引:1,他引:1  
李林森 《天文学报》1990,31(1):108-111
本文给出了在三种引力理论为中心自转对天体轨道要素变化产生的后牛顿摄动效应的研究结果。研究结果表明:六个轨道要素除长钾不受摄动影响外其它五个要素均有周期摄动,特别升交点经度和近星点经度还有长期摄动效应。最后将文中的理论结论同前人的工作做了比较还应用于行星自转对卫星轨道要素变化的摄动效应计算上。作者在文[1]中研究了天体轨道要素变化的后牛顿效应,但在该文中并没有考虑中心体自转的影响。本文研究了三种引力理论(Einstein,Brans-Dick和Nordtvedt)中的这方面效应,并给出理论和数值的研究结果。  相似文献   

2.
研究了双星多方模型的形状对同步子星轨道要素的摄动影响,假定两子星在同一轨道面上运动,推出了主星对伴星的轨道要素的摄动量,理论结果表明,双星多方模型对轨道半长轴和偏心率只有周期项摄动,无长期摄动,但对近星点和历元平近点角除有周期摄动外还有长期摄动效应。文中将理论结果应用于同步双星βPer(大陵五双星)的计算上,除计算了两个子星的形状(椭率)外对同步子星的轨道要素变化的周期项振幅和长期项的效应做了数值  相似文献   

3.
研究了双星多方模型的形状对同步子星轨道要素的摄动影响。假定两子星在同一轨道面上运动,推出了主星对伴星的轨道要素的摄动量。理论结果表明:双星多方模型对轨道半长轴和偏心率只有周期项摄动,无长期摄动,但对近星点和历元平近点角除有周期摄动外还有长期摄动效应。文中将理论结果应用于同步双星βPer(大陵五双星)的计算上。除计算了两个子星的形状(椭率)外对同步子星的轨道要素变化的周期项振幅和长期项的效应做了数值计算  相似文献   

4.
李林森 《天文学报》2001,42(4):428-435
在以前研究的基础上继续研究了双星两子星的自转对轨道变化的后牛顿效应,给出自转对轨道产生的长期摄动效应和周期摄动效应。理论结果表明,两子星的自转对轨道半长轴、轨道偏心率、近星点角和平近点经度均产生周期摄动效应,但对前两个轨道根数不产生长期摄动效,人对后两个轨道根数产生长期摄动效应,并利用理论结果对6颗双星系:EK Cep、GT Cep、NY Cep、V448 Cyg和V451 Oph中两子星的自转对轨道产生周期和长期摄动效应做了数值计算,数值结果显示:对于两个质量较大快速自转的双星系,由此产生的后牛顿铲应是不能忽视的。  相似文献   

5.
研究了地球磁场对带电的非赤道卫星的轨道根数的摄动影响。理论结果表明,地球磁场对带电卫星的轨道半长轴没有摄动影响,既无周期摄动,也无长期摄动,但对轨道偏心率、轨道倾角、升交点赤经、近地点经度和历元平近点角均有周期摄动,且对升交点和近地点经度还有长期摄动效应。通过算例表明,当卫星带有大量电荷时,地球磁场对卫星轨道的摄动影响必须加以考虑。  相似文献   

6.
地球磁场对带电人造卫星轨道根数的摄动影响   总被引:2,自引:0,他引:2  
研究了地球磁场对带电的非赤道卫星的轨道根数的摄动影响,理论结果表明,地球磁场对带电卫星的轨道半长轴没有摄动影响,既无周期摄动,也无长期摄动,但对轨道偏心率、轨道倾角、升交点赤经、近地点经度和历元平近点角均有周期摄动,且对升交点和近地点经度还有长期摄动效应,通过算例表明,当卫星带有大量电菏时,地球磁场对卫星轨道的摄动影响必须加以考虑。  相似文献   

7.
给出了以偏近点角为自变量的变引力常数的摄动方程组的解.解包括轨道半长轴的长期和周期变化项,其他轨道根数在一阶解中无长期项,只有周期项.近星点经度和平经度在二阶解中显示长期项变化.给出了由于引力常数变化对双星轨道演变情况的数值估计,对结果做了讨论并给出结论.  相似文献   

8.
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k=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   

9.
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   

10.
用功能转换原理和摄动理论的两种方法重点研究了导体卫星在地球磁场和有电导率介质空间飞行时磁感应阻力对圆形轨道半径的摄动影响。理论研究表明:导体卫星在圆形轨道上受磁感应阻力后轨道半径有随时间变化的长期摄动效应外还有周期性变化。此外,文中还讨论了磁感应阻力对圆形轨道的其它要素的摄动影响概况。  相似文献   

11.
The influence of the gravitational radiation damping on the evolution of the orbital elements of compact binary stars is examined by using the method of perturbation. The perturbation equations with the true anomaly as an independent variable are given. This effect results in both the secular and periodic variation of the semi-major axis, the eccentricity, the mean longitude at the epoch and the mean longitude. However, the longitude of periastron exhibits no secular variation, but only periodic variation. The effect of secular variation of the orbit would lead to collapse of the system of binary stars. The deduced formulae are applied to the calculation of secular variation of the orbital elements for three compact binary stars: PSR19 13 + 16, PSR J0737-3039 and M33X-7. The results obtained are discussed.  相似文献   

12.
13.
The Secular influence of the change in the heliocentric gravitational constant on the evolution of orbits of Meteor Streams is examined by using the method of celestial mechanics with variable mass and variable gravitational constant. The change in the heliocentric gravitational constant includes the combined changes in the sun’s mass and gravitational constant obtained from the modern observation of planets and spacecraft. The perturbation equations are solved by expanding series with mean anomaly. The solutions of the secular and periodic variation of orbital elements are derived. The theoretical results for the secular variables of the semi-major axes, solar distances at perihelion and orbital periods are given for three Meteor Streams: Dracorids, Quadrantids, and Ursids. The numerical results are shown in Table 2. The discussion and conclusion are drawn.  相似文献   

14.
We describe an approximate numerical-analytical method for calculating the perturbations of the elements of distant satellite orbits. The model for the motion of a distant satellite includes the solar attraction and the eccentricity and ecliptic inclination of the orbit of the central planet. In addition, we take into account the variations in planetary orbital elements with time due to secular perturbations. Our work is based on Zeipel’s method for constructing the canonical transformations that relate osculating satellite orbital elements to the mean ones. The corresponding transformation of the Hamiltonian is used to construct an evolution system of equations for mean elements. The numerical solution of this system free from rapidly oscillating functions and the inverse transformation from the mean to osculating elements allows the evolution of distant satellite orbits to be studied on long time scales on the order of several hundred or thousand satellite orbital periods.  相似文献   

15.
A form of planetary perturbation theory based on canonical equations of motion, rather than on the use of osculating orbital elements, is developed and applied to several problems of interest. It is proved that, with appropriately selected initial conditions on the orbital elements, the two forms of perturbation theory give rise to identical predictions for the observable coordinates and velocities, while the orbital elements themselves may be strikingly different. Differences between the canonical form of perturbation theory and the classical Lagrange planetary perturbation equations are discussed. The canonical form of perturbation theory in some cases has advantages when the perturbing forces are velocity-dependent, but the two forms of perturbation theory are equivalent if the perturbing forces are dependent only on position and not on velocity. The canonical form of the planetary perturbation equations are derived and applied to the Lense Thirring precession of a test body in a Keplerian orbit around a rotating mass source.  相似文献   

16.
The dynamics of planetary and star systems including perturbing forces due to the flattering and quadrupole distortion of the bodies is studied. The analytical model describing the perturbations which influence on the orbital motion of extrasolar planetary systems is presented. The calculations of the secular evolution of the mean orbital elements have shown that the effects related to the shape of the body are more important than the ones due to the quadrupole distortion.  相似文献   

17.
将作者在变质量天体力学所得理论结果应用于太阳质量损失对流星群轨道根数变化的长期效应上。太阳质量损失包括光子辐射和太阳风造成的质量损失。利用G—M型变质量天体轨道根数变化方程的一阶和二阶解对15个流星群轨道半长轴、近日点距离、轨道周期和近日点经度因太阳质量损失造成的每世纪的长期改变效应做了数值计算,并得出计算结果。其计算结果表明,太阳质量损失使流星群轨道半长轴每世纪的改变效应较明显,它们同太阳距离的扩大影响值得关注,但对轨道周期的拉长每世纪的影响甚小,对近日点经度只有量级变化小到可以略而不计。  相似文献   

18.
易照华 《天文学报》2001,42(2):113-120
以当前太阳系动力学中的重要课题以及研究方法进行讨论,并提出一些看法,课题中主要讨论动力学模型,轨道共振,行星环,混沌和长期演化,近地天体运动,Kupiper带,太阳系中的引力理论,以及其他有关问题。  相似文献   

19.
Time evolution of the meteoroid's orbit under the action of the solar electromagnetic radiation is discussed in terms of perihelion and aphelion distances. Perturbation equations for secular changes of orbital elements are written for the most simple case. Initial conditions are formulated for the obtained system of perturbation equations and simple example is presented.  相似文献   

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