东亚地区气象参数卫星遥感反演理论和方法研究Ⅰ:ISPRM和SRRM

文中对10a来改进的同步物理反演方法(ISPRM)实践与发展进行了总结。在不违背先验信息和卫星测值之间独立的原则下,所做的改进都是针对这类非适定反演问题的欠定性(under-determinedness)进行的。由适定反演理论知道,正演是反演的基础,又是卫星辐射率测值输入和反演结果输出之间的桥梁。为了获得好的正演,就必须竭尽可能充分利用一切可以使用的先验信息,把非适定反演问题转化成适定的反演问题,从而通过Ridge回归或Bayes反演过程,把先验信息、理论模拟信息和卫星探测信息三者最佳地结合起来,以最大限度减少这类反演问题的欠定性对数值解的影响。     

不可见金赋存状态研究现状

综述了近年来不可见金赋存状态研究的新近展,包括：卡林型金矿床,部分其它类型中温热液金矿床中金和一些块状硫化物矿床中的伴生金的赋存状态研究;一些载金矿物合成实验研究。评述了不可见金赋存状态研究中有待进一步探索的一些问题。最后提出了可能有助于金矿床研究的几个方面。     

可持续发展及其在中国的重大战略问题及对策

从可持续发展的内涵出发,分析了可持续发展的机制,阐述了中国可持续发展过程中应注意的重大战略问题,最后提出了相应的对策。     

An analysis of the scalar geodetic boundary-value problem with natural regularity results

A new local existence and uniqueness theorem is obtained for the scalar geodetic boundary-value problem in spherical coordinates. The regularities H _α and H _1+α are assumed for the boundary data g (gravity) and v (gravitational potential) respectively. Received: 27 July 1998 / Accepted: 19 April 1999     

Maximum Entropy Density Determination for the Earth and Terrestrial Planets

The maximum entropy principle of the information theory gives rise to a general regularization strategy for ill-posed inverse problems. The methods based on this principle have become standard in various branches of engineering sciences. Of course, ill-posed problems frequently appear in Earth sciences, too. Nonetheless, the concept of maximum entropy is not very popular here. Therefore, we review the basic approaches employing the principle of maximum entropy in one way or another. We can distinguish at least three different approaches, partly yielding coincident results. One possible area of application is the determination of Earth and planetary models, although the paper cannot treat this in its practical complexity. Most of the discussion is restricted to the determination of the Earth's mass density function from various sources of data. Three sample problems are solved using the principle of maximum entropy: a spherical and an ellipsoidal problem related to the Earth and an ellipsoidal problem related to Mars. This illustrates the numerical procedure, which is non-trivial in many cases. It also shows some results, partly compared to standard solutions. The pros and cons of the approaches are discussed.     

Keplerian periodic orbits in the isosceles problem

The planar isosceles three-body problem where the two symmetric bodies have small masses is considered as a perturbation of the Kepler problem. We prove that the circular orbits can be continued to saddle orbits of the Isosceles problem. This continuation is not possible in the elliptic case. Their perturbed orbits tend to a continued circular one or approach a triple collision. The basic tool used is the study of the Poincaré maps associated with the periodic solutions. This revised version was published online in July 2006 with corrections to the Cover Date.     

内蒙古雨养农业区土壤水分动态监测模式

文章根据多年实际观测资料,在土壤水分平衡参数模拟方法的基础上,利用初始土壤有效水分贮存量、降水量和实际蒸散量3要素,建立了0～50 cm土层的土壤水分动态监测模式,确定了各项参数的计算方法。通过11个站点两年的检验和试用,对主要农作物春小麦和春玉米农田的水分状况监测准确率达80%以上。同时,对两个站点的土壤水分进行了预报,准确率平均为92%。     

The Inverse Problem for Collinear Central Configurations

We consider the problem: given a collinear configuration of n bodies, find the masses which make it central. We prove that for n ≤ 6, each configuration determines a one-parameter family of masses (after normalization of the total mass). The parameter is the center of mass when n is even and the square of the angular velocity of the corresponding circular periodic orbit when n is odd. The result is expected to be true for any n. This revised version was published online in July 2006 with corrections to the Cover Date.     

On the vertical families of two-dimensional tori near the triangular points of the Bicircular problem

This paper focuses on some aspects of the motion of a small particle moving near the Lagrangian points of the Earth–Moon system. The model for the motion of the particle is the so-called bicircular problem (BCP), that includes the effect of Earth and Moon as in the spatial restricted three body problem (RTBP), plus the effect of the Sun as a periodic time-dependent perturbation of the RTBP. Due to this periodic forcing coming from the Sun, the Lagrangian points are no longer equilibrium solutions for the BCP. On the other hand, the BCP has three periodic orbits (with the same period as the forcing) that can be seen as the dynamical equivalent of the Lagrangian points. In this work, we first discuss some numerical methods for the accurate computation of quasi-periodic solutions, and then we apply them to the BCP to obtain families of 2-D tori in an extended neighbourhood of the Lagrangian points. These families start on the three periodic orbits mentioned above and they are continued in the vertical (z and ż) direction up to a high distance. These (Cantor) families can be seen as the continuation, into the BCP, of the Lyapunov family of periodic orbits of the Lagrangian points that goes in the (z, ż) direction. These results are used in a forthcoming work [9] to find regions where trajectories remain confined for a very long time. It is remarkable that these regions seem to persist in the real system. This revised version was published online in July 2006 with corrections to the Cover Date.