含有集约束向量极值问题的最优性条件     

吴泽忠 《成都信息工程学院学报》2004,19(2):258-262

在序线性拓扑空间里研究了含有集约束向量极值问题的最优性条件,并建立了充分性和必要性条件.  相似文献   

Two-Parametric Families of Orbits and Multiseparability of Planar Potentials     

D. Voyatzi  S. Ichtiaroglou 《Celestial Mechanics and Dynamical Astronomy》2003,86(3):209-221

Combining the results of the inverse problem of dynamics with the theory of multiseparability of planar potentials, we find biparametric families of orbits, whose existence guarantees the multiseparability of the potential. We also study the allowed regions of the plane, where these orbits are traced.  相似文献   

Restricted Three-Body Problem: An Approximation of its General Solution – Part One – the Manifold of Symmetric Periodic Solutions     

Kostantinos Papadakis  Constantine Goudas 《Astrophysics and Space Science》2006,305(2):99-124

This paper gives the results of a programme attempting to exploit ‘la seule bréche’ (Poincaré, 1892, p. 82) of non-integrable systems, namely to develop an approximate general solution for the three out of its four component-solutions of the planar restricted three-body problem. This is accomplished by computing a large number of families of ‘solutions précieuses’ (periodic solutions) covering densely the space of initial conditions of this problem. More specifically, we calculated numerically and only for μ = 0.4, all families of symmetric periodic solutions (1st component of the general solution) existing in the domain D:(x ₀ ∊ [−2,2],C ∊ [−2,5]) of the (x ₀, C) space and consisting of symmetric solutions re-entering after 1 up to 50 revolutions (see graph in Fig. 4). Then we tested the parts of the domain D that is void of such families and established that they belong to the category of escape motions (2nd component of the general solution). The approximation of the 3rd component (asymmetric solutions) we shall present in a future publication. The 4th component of the general solution of the problem, namely the one consisting of the bounded non-periodic solutions, is considered as approximated by those of the 1st or the 2nd component on account of the `Last Geometric Theorem of Poincaré' (Birkhoff, 1913). The results obtained provoked interest to repeat the same work inside the larger closed domain D:(x ₀ ∊ [−6,2], C ∊ [−5,5]) and the results are presented in Fig. 15. A test run of the programme developed led to reproduction of the results presented by Hénon (1965) with better accuracy and many additional families not included in the sited paper. Pointer directions construed from the main body of results led to the definition of useful concepts of the basic family of order n, n = 1, 2,… and the completeness criterion of the solution inside a compact sub-domain of the (x ₀, C) space. The same results inspired the ‘partition theorem’, which conjectures the possibility of partitioning an initial conditions domain D into a finite set of sub-domains D i that fulfill the completeness criterion and allow complete approximation of the general solution of this problem by computing a relatively small number of family curves. The numerical results of this project include a large number of families that were computed in detail covering their natural termination, the morphology, and stability of their member solutions. Zooming into sub-domains of D permitted clear presentation of the families of symmetric solutions contained in them. Such zooming was made for various values of the parameter N, which defines the re-entrance revolutions number, which was selected to be from 50 to 500. The areas generating escape solutions have being investigated. In Appendix A we present families of symmetric solutions terminating at asymptotic solutions, and in Appendix B the morphology of large period symmetric solutions though examples of orbits that re-enter after from 8 to 500 revolutions. The paper concludes that approximations of the general solution of the planar restricted problem is possible and presents such approximations, only for some sub-domains that fulfill the completeness criterion, on the basis of sufficiently large number of families.  相似文献   

贵港市矿业发展现状与对策     

李东昌 《南方国土资源》2002,15(1):57-60

文章从贵港市矿产资源情况出发 ,通过对开发现状及存在问题的分析 ,探讨保证资源的合理开发和永续利用 ,为经济建设提供物质支撑的理念 ,提出了矿业可持续发展的对策。  相似文献   

Non-Existence of New Meromorphic First Integrals in the Planar Three-Body Problem     

Alexei V. Tsygvintsev 《Celestial Mechanics and Dynamical Astronomy》2003,86(3):237-247

We consider the planar three-body problem and prove that, apart from some exceptional cases, there is no additional first integral meromorphic with respect to positions, mutual distances and momenta.  相似文献   

Preliminary Study on the Translunar Halo Orbits of the Real Earth–Moon System     

Miquel A. Andreu 《Celestial Mechanics and Dynamical Astronomy》2003,86(2):107-130

The computation of translunar Halo orbits of the real Earth–Moon system (REMS) has been an open problem for a long time, but now, it is possible to compute Halo orbits of the REMS in a systematic way. In this paper, we describe the method used for the numerical computation of Halo orbits for a time span longer than 41 years. Halo orbits of the REMS are computed from quasi-periodic Halo orbits of the quasi-bicircular problem (QBCP). The QBCP is a model for the dynamics of a spacecraft in the Earth–Moon–Sun system. It is a Hamiltonian system with three degrees of freedom and depending periodically on time. In this model, Earth, Moon and Sun are moving in a self-consistent motion close to bicircular. The computed Halo orbits of the REMS are compared with the family of Halo orbits of the QBCP. The results show that the QBCP is a good model to understand the main features of the Halo family of the REMS.  相似文献   

Virial oscillations of celestial bodies: V. The structure of the potential and kinetic energies of a celestial body as a record of its creation history     

V. I. Ferronsky  S. A. Denisik  S. V. Ferronsky 《Celestial Mechanics and Dynamical Astronomy》1996,64(3):167-183

The physical meaning of the terms of the potential and kinetic energy expressions, expanded by means of the density variation function for a nonuniform self-gravitating sphere, is discussed. The terms of the expansions represent the energy and the moment of inertia of the uniform sphere, the energy and the moment of inertia of the nonuniformities interacting with the uniform sphere, and the energy of the nonuniformities interacting with each other. It follows from the physical meaning of the above components of the energy structure, and also from the observational fact of the expansion of the Universe that the phase transition, notably, fusion of particles and nuclei and condensation of liquid and solid phases of the expanded matter accompanied by release of energy, must be the physical cause of initial thermal and gravitational instability of the matter. The released kinetic energy being constrained by the general motion of the expansion, develops regional and local turbulent (cyclonic) motion of the matter, which should be the second physical effect responsible for the creation of celestial bodies and their rotation.  相似文献   

Diffuse radiation,twilight, and photochemistry — I     

D. J. Lary  J. A. Pyle 《Journal of Atmospheric Chemistry》1991,13(4):373-392

A photochemical scheme which includes a detailed treatment of multiple scattering up to solar zenith angles of 96° (developed for use in a GCM) has been used to study partitioning within chemical families. Attention is drawn to the different zenith angle dependence of diffuse radiation for the two spectral regions <310 nm and >310 nm. The effect that this has on the so-called 40 km ozone problem is discussed. The importance of correctly including multiple scattering for polar ozone studies is emphasised.  相似文献   

埃达克岩研究的回顾和前瞻   总被引：15，自引：1，他引：14       下载免费PDF全文

张旗 《中国地质》2008,35(1):32-39

文中回顾了中国埃达克岩研究的进展,讨论了中国埃达克岩文献为什么多的原因,归纳了我们取得的成绩及存在的问题,探讨了埃达克岩目前面临的问题和今后研究的方向。笔者认为,中国埃达克岩的研究正处于方兴未艾的阶段,是现阶段国际埃达克岩研究的焦点和中心之一。尽管发表的文章不少,但是研究水平总体不高。在埃达克岩研究中,有大量的问题等待我们去回答,有众多的现象等待我们去解释。中国东部中生代C型埃达克岩的成因、中国东部高原、埃达克岩与青藏高原抬升的关系以及C型埃达克岩与成矿的关系等,应当是今后重点需要关注的问题。  相似文献   

富P过铝质岩浆体系的研究现状及存在的问题     

唐勇  张辉  刘丛强  饶冰 《矿物学报》2008,28(1):35-42

高度演化的富P过铝质岩浆体系,具有鲜明的、不同于其他体系的地球化学行为.富P过铝质熔体以富P,高ASI,贫Fe、Mg、Ca,强烈亏损REE、Th、Y以及具有W、Sn、Nb、Ta等金属的矿化为特征.富P过铝质岩浆体系中的碱性长石为富P长石,长石中P可以有效地指示过铝质岩浆体系的演化历程;在岩浆演化的晚期,P与Li具强的亲和性,形成锂辉石-磷铝锂石-羟磷铝锂石的组合.已有的实验研究揭示,P能降低简单花岗岩的液相线和固相线温度、粘度以及增加H2O在熔体中的溶解度.然而,这一体系还存在许多问题亟待研究,P能否促进过铝质岩浆的液态不混溶,能否促使等价不相容元素在过铝质岩浆演化过程中的分异,是否在稀有金属成矿过程中起作用等都是值得关注的问题.  相似文献