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11.
An analytical approach to small amplitude solutions of the extended nearly circular Sitnikov problem
J. Hagel 《Celestial Mechanics and Dynamical Astronomy》2009,103(3):251-266
The model of extended Sitnikov Problem contains two equally heavy bodies of mass m moving on two symmetrical orbits w.r.t the centre of gravity. A third body of equal mass m moves along a line z perpendicular to the primaries plane, intersecting it at the centre of gravity. For sufficiently small distance from the
primaries plane the third body describes an oscillatory motion around it. The motion of the three bodies is described by a
coupled system of second order differential equations for the radial distance of the primaries r and the third mass oscillation z. This problem which is dealt with for zero initial eccentricity of the primaries motion, is generally non integrable and
therefore represents an interesting dynamical system for advanced perturbative methods. In the present paper we use an original
method of rewriting the coupled system of equations as a function iteration in such a way as to decouple the two equations
at any iteration step. The decoupled equations are then solved by classical perturbation methods. A prove of local convergence
of the function iteration method is given and the iterations are carried out to order 1 in r and to order 2 in z. For small values of the initial oscillation amplitude of the third mass we obtain results in very good agreement to numerically
obtained solutions. 相似文献
12.
地震安全性评价制度是地震灾害预防制度的重要组成部分,自中华人民共和国成立之初演化发展至20世纪90年代基本成形,并纳入《中华人民共和国防震减灾法》。在深化“放管服”改革中,国务院先后取消了地震安全性评价资质许可和结果审定的行政审批事项,提出施行区域评估。在建立新制度过程中,面临着审批部门须承担委托开展地震安全性评价责任、区域性地震安全性评价与地震小区划及地震区划同质化、地震安全性评价结果质量监管困难、重大建设工程“应评未评”“评而未用”等问题。本文在分析地震安全性评价制度历史变迁、改革现状的基础上,提出地震安全性评价制度改革的展望,以期为地震安全性评价制度改革和《中华人民共和国防震减灾法》《地震安全性评价管理条例》修订提供参考。 相似文献
13.
Energy and stability in the Full Two Body Problem 总被引：1，自引：0，他引：1
The conditions for relative equilibria and their stability in the Full Two Body Problem are derived for an ellipsoid–sphere
system. Under constant angular momentum it is found that at most two solutions exist for the long-axis solutions with the
closer solution being unstable while the other one is stable. As the non-equilibrium problem is more common in nature, we
look at periodic orbits in the F2BP close to the relative equilibrium conditions. Families of periodic orbits can be computed
where the minimum energy state of one family is the relative equilibrium state. We give results on the relative equilibria,
periodic orbits and dynamics that may allow transition from the unstable configuration to a stable one via energy dissipation.
相似文献
14.
在地震波速度和地震波 值层析成像中,对于非线性反演问题解的可靠性研究非常重要．为了讨论ＡＲＴ（ＡｌｇｅｂｒａｉｃＲｅｃｏｎｓｔｒｕｃｔｉｏｎ Ｔｅｃｈｎｉｑｕｅ）、ＳＶＤ（Ｓｉｎｇｕｌａｒ ＶａｌｕｅＤｅｃｏｍｐｏｓｉｔｉｏｎ）、ＬＳＱＷ（ＬｅａｓｔＳｕａｒｅ）３种方法的算法稳定性以及反演效果,本研究将这３种算法用于求解非常病态问题和一般稳定问题,根据数值计算结果,分别给出了在非常病态问题和一般稳定问题中３种算法的相对误差及其算法稳定性评价．进而针对３种算法在同一地质模型上的速度成像结果进行了比较,为地震层析成像反演效果分析提供了定量参数． 相似文献
15.
伴随着国家经济建设的飞速发展,我国城市建设也取得了长足的进步,交通网络四通八达,车载导航产品竞相上市,并成为解决定位服务的领先力量。作为车载导航的重要功能的路径规划与语音提示功能备受消费者关注。车载导航电子地图成为驾车出行不可或缺的辅助工具,尤其是车载导航电子地图的语音提示功能,已变得举足轻重,应用越来越广泛。本文主要就车载导航电子地图使用中语音提示问题进行探讨,并提出一些建议。 相似文献
16.
17.
18.
When standard boundary element methods (BEM) are used in order to solve the linearized vector Molodensky problem we are confronted with
two problems: (1) the absence of O(|x|−2) terms in the decay condition is not taken into account, since the single-layer ansatz, which is commonly used as representation
of the disturbing potential, is of the order O(|x|−1) as x→∞. This implies that the standard theory of Galerkin BEM is not applicable since the injectivity of the integral operator
fails; (2) the N×N stiffness matrix is dense, with N typically of the order 105. Without fast algorithms, which provide suitable approximations to the stiffness matrix by a sparse one with O(N(logN)
s
), s≥0, non-zero elements, high-resolution global gravity field recovery is not feasible. Solutions to both problems are proposed.
(1) A proper variational formulation taking the decay condition into account is based on some closed subspace of co-dimension
3 of the space of square integrable functions on the boundary surface. Instead of imposing the constraints directly on the
boundary element trial space, they are incorporated into a variational formulation by penalization with a Lagrange multiplier.
The conforming discretization yields an augmented linear system of equations of dimension N+3×N+3. The penalty term guarantees the well-posedness of the problem, and gives precise information about the incompatibility
of the data. (2) Since the upper left submatrix of dimension N×N of the augmented system is the stiffness matrix of the standard BEM, the approach allows all techniques to be used to generate
sparse approximations to the stiffness matrix, such as wavelets, fast multipole methods, panel clustering etc., without any
modification. A combination of panel clustering and fast multipole method is used in order to solve the augmented linear system
of equations in O(N) operations. The method is based on an approximation of the kernel function of the integral operator by a degenerate kernel
in the far field, which is provided by a multipole expansion of the kernel function. Numerical experiments show that the fast
algorithm is superior to the standard BEM algorithm in terms of CPU time by about three orders of magnitude for N=65 538 unknowns. Similar holds for the storage requirements. About 30 iterations are necessary in order to solve the linear
system of equations using the generalized minimum residual method (GMRES). The number of iterations is almost independent
of the number of unknowns, which indicates good conditioning of the system matrix.
Received: 16 October 1999 / Accepted: 28 February 2001 相似文献
19.
20.
靖学青 《云南地理环境研究》1997,9(1):18-22
随着时间的推移，沿边地区开放开发将不以人的意志为转移地发生形式上的转换，即边境国际贸易→边境出口加工企业→边境国际性区域经济合作，这种转换规律，是由利益机制驱动的。我国沿边地区在开放开发中出现的诸如沿边国际贸易不稳、发展缓慢等问题，就是因为沿边开放开发的形式转换，没有跟上边境经贸发展的步伐，沿边出口加工生产严重滞后的缘故，因此中国沿边地区应加快外向性产业实体建设，大力推进沿边开发形式的转换，以扭转当前的被动局面。 相似文献