共查询到16条相似文献,搜索用时 93 毫秒
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研究了Coriolis力和离心力摄动对Robe限制性三体问题主要平动点位置及线性稳定性的影响,给出了Robe限制性三体问题主要平动点的摄动位置和Coriolis力和离心力摄动对主要平动点位置和线性稳定的影响量级.改进了Shrivastava的结果. 相似文献
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基于最小二乘法原理的速度因子方法是保流形结构算法中效率最高、稳定性最好、应用最广的方法.利用速度因子方法讨论了主星为辐射源,伴星为扁球的平面圆型限制性三体问题的稳定性问题.数值研究表明:(1)仅考虑扁状摄动项时,系统混沌运动的轨道数量会增多;(2)仅考虑辐射项时,系统有序运动的轨道数量会增多;(3)同时存在辐射和扁状摄动时,辐射占主导作用,系统有序运动的几率会增加. 相似文献
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定点在日-地(月)系L1点附近的探测器的发射及维持 总被引:1,自引:0,他引:1
在限制性三体问题中共线平动点附近的运动虽然是不稳定的,但可以是有条件稳定的,该动力学特征使得一些有特殊目的的探测器只需消耗较少的能量即可定点在这些点附近(如ISEE-3、SOHO).以日-地(月)系的L1点为例,根据其附近的运动特征,探讨定点探测器的发射与轨道控制问题,给出了相应的数值模拟结果,为工程上的实现提供理论依据. 相似文献
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与共线平动点不同,圆型限制性三体问题中的两个三角平动点在一定条件下,无论是线性意义下还是非线性意义下,都是稳定的,其附近存在着周期与拟周期轨道,在深空探测中有应用前景.该文首先简单介绍三角平动点附近运动的动力学特征,然后以日-(地+月)系和地-月系两个三体系统为例,进一步阐述真实引力模型下三角平动点附近的运动状态,最后以这两个三体系统为例,探讨了三角平动点探测器的发射和定点轨道控制问题. 相似文献
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考虑周期解的数值延拓问题并提出基于Broyden拟牛顿法来延拓周期解的一种有效算法,先后以布鲁塞尔振子、平面圆型限制性三体问题(Planar Circular Restricted Three-Body Problem, PCRTBP)的周期解为例进行了验证.这里的Broyden方法包含线性搜索、正交三角分解求线性方程组的步骤.对一般的周期解,周期性条件方程组中含有周期作为待延拓参数,可用周期来决定积分时长,将解代入周期性条件得到积分型的非线性方程组,利用Broyden方法迭代延拓直至初值收敛.根据两次垂直通过一个超平面的轨道是对称周期轨道的性质,可采用插值的方法求得再次抵达超平面的解分量,得到周期性条件方程组,再用Broyden方法求解.结合哈密顿系统的对称性和PCRTBP周期轨道的一些分类,对2/1、3/1的内共振周期解族进行了数值研究.最后,对算法和计算结果做了总结和讨论. 相似文献
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The existence and stability of triangular libration points in the relativistic restricted three-body problem has been studied.
It is found that L4,5 are unstable in the whole range 0 ≤ μ ≤ 1/2 in contrast to the classical restricted three-body problem where they are stable
for 0 < μ < μ0, where μ is the mass parameter and μ0 = 0.03852....
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
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Ravinder Kumar Sharma Z. A. Taqvi K. B. Bhatnagar 《Celestial Mechanics and Dynamical Astronomy》2001,79(2):119-133
This paper deals with the stationary solutions of the planar restricted three-body problem when the primaries are triaxial rigid bodies with one of the axes as the axis of symmetry and its equatorial plane coinciding with the plane of motion. It is seen that there are five libration points, two triangular and three collinear. It is further observed that the collinear points are unstable, while the triangular points are stable for the mass parameter 0 < crit(the critical mass parameter). It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of .This revised version was published online in October 2005 with corrections to the Cover Date. 相似文献
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The equilibrium points of the relativistic restricted three-body problem are considered. The stability of the triangular points is determined and contrary to recent results of other authors a region of linear stability in the parameter space is obtained. The positions of the collinear points are approximated by series by expansions and their stability is similarly determined. It is found that these are always unstable.This revised version was published online in October 2005 with corrections to the Cover Date. 相似文献
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The restricted three-body problem in Schwarzschild's gravitational field is analyzed. The existen- ce of the equilibrium points in the orbital plane is discussed and the corresponding positions are established. There are three collinear libration points, and, if they exist, two triangular libration points (situated in the orbital plane of the primaries). If triangular points exist, they may not form equilateral triangles; the triangles are isosceles for equal masses of the primaries, and scalene else. 相似文献
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In this paper the authors provide a study of the phenomenon of the gravitational capture by using the models of the circular
and elliptic restricted three-body problem. In the first part the inadequacy of the circular restricted three-body problem
in the study of the phenomenon of the capture in the case of NEAs is shown. In the model of the spatial elliptic restricted
three-body problem criteria of the capture are deduced by using the pulsating Hill-regions.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
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A symplectic mapping for Trojan-type motion has been developed in the secularly changing elliptic restricted three-body problem. The mapping describes well the characteristics of Trojan-type dynamics at small eccentricities. By using this mapping the boundary of the stability region has been studied for different values of the initial eccentricities of hypothetical Jupiter's Trojans. It has been found that in the secularly changing elliptic case the chaotic diffusion at the border of the stability region is stronger than simply in the elliptic case. An explanation of this observation might be the destruction of the chain of islands of the 13:1 secondary resonance between the short and long period component of the Trojan-like motion, caused possibly by the indirect perturbations of Saturn. 相似文献