GPS掩星振幅反演中的天顶补偿项

推导了GPS无线电掩星振幅观测反演地球大气技术中Abel积分变换中的天顶补偿项，定性地说明了天顶补偿项对计算过程和反演剖面的影响。     

GPS掩星振幅反演中的天顶补偿项

推导了GPS无线电掩星振幅观测反演地球大气技术中Abel积分变换中的天顶补偿项 ,定性地说明了天顶补偿项对计算过程和反演剖面的影响。     

GPS/LEO掩星技术中超折射效应的修正

在GPS掩星探测地球大气技术中，Abel积分变换要求大气折射指数n是折射半径a的单值函数，当大气折射率的垂直梯度达到小于一个极限值dN／dr≈-0．16N-unit m^-1上述单值性不成立，称其为超折射，此时Abel积分变换不再适用,如果还是在形式上应用经典的Abel变换，在反演结果中就会产生负大气折射率偏差．描述了低对流层中超折射现象的物理特性和数学表示；在广义Abel积分变换的基础上，讨论了超折射层内和超折射层下的大气剖面反演算法；选择了一个简单的采样间隔内等大气折射率垂直梯度假设，对英国高分辨率无线电探空观测资料进行模拟计算，验证了负超折射与大气折射率偏差的关系，并提出的广义Abel变换的合理性.     

大气对地球自转变化的影响-方法和数据的深入分析

大气相对固体地球的运动产生大气相对角动量，它的变化可以激发地球自转多时间尺度的变化．计算大气相对角动量现在采用两种不同的垂直积分高度，一种为从地形表面积分到顶层大气，称之为SP方法；另一种为从1000hPa积分到顶层大气，称之为BP方法，对采用这两种方法所得到的大气相对角动量进行了详细的比较．应用欧洲中距气象预报中心（ECMWF）和美国国家环境预报中心（NCEP）大气再分析数据，重新研究了大气相对角动量变化的时空特征．通过对大气相对角动量季节平均，季节振幅和时空特征的分析，得出ECMWF和NCEP的大气相对角动量变化对地球自转周年极移的影响，在亚洲季风区域和南极洲区域差别最为明显．     

二维射线跟踪技术中的掩星面坐标系

在大气球对称假设下,可以从弯曲角观测资料通过Abel积分变换反演得到折射率廓线。在低层大气中,折射率水平不均匀性可能导致Abel反演在近地面的误差达到10%。避免该误差的一种有效方法是不通过Abel反演而采用非对称模式下二维射线跟踪算子直接将弯曲角同化到数值天气预报模式中。文章介绍了非对称模式下二维射线跟踪技术的背景、原理和数学模型,讨论了掩星面坐标系与地心惯性坐标系之间的转换关系。     

卫星圆轨道假设对GPS无线电掩星反演地球大气参数的影响

给出GPS无线电掩星反演地球大气参数过程中计算大气折射角的解析表达式，以圆轨道假设下的大气折射角计算值为先验约束，采用迭代法对不引入圆轨道假设情况的大气折射角进行归算，在此基础，利用反演方法得到了引入和不引入圆轨道假定两种情况下大气参数（气压和温度）的差分序列，结果表明：卫星圆轨道假设对GPS无线电掩星反演大气参数的影响，在气压方面为1mbar左右，而在气温方面为1K左右，这一结果支持了目前无线电掩星定性误差估计研究中通常引入卫星圆轨道假设这个近似处理方法的合理性，同时也表明：若在高精度反演地球大气参数时，摒弃圆轨道是必要的。     

CHAMP观测资料的振幅反演初步结果

在几何光学和薄相位屏的假设下，给出GPS／LEO无线电掩星反演地球大气技术中振幅反演的计算方法．从产生接收信号振幅变化的机制出发，提出产生信号振幅变化的几何衰减和物理衰减两个不同的源．利用CHAMP卫星观测资料的个例，用观测信噪比序列进行了大气弯曲角、大气折射率、压力、温度剖面的反演；并与相位反演结果进行比较和讨论．     

非圆轨道GPS/LEO掩星反演地球大气参数的算法及讨论

在非圆轨道GPS和LEO卫星条件下，给出一种较为直接的GPS／LEO掩星反演地球大气参数技术中弯曲角序列的迭代算法，并在理论上对该迭代法的收敛性进行了严格的数学证明．利用GPS掩星反演模拟程序，定量估算了卫星圆轨道假设对GPS／LEO掩星反演地球大气参数的影响，并验证了在非圆轨道条件下各种迭代法的一致性．指出了文献中给出的级数展开迭代算法的不足之处．     

用地球自转的历史观测资料反演大气环流的年际变化特征

运用近代天和气象观测技术所测得的资料证实了，固体地球自转的速率变化与大气角动量之间，在几年以下的时间尺度上是非常符合的。 因此，本作首先探讨际用历史上的地球自转观测资料序列作为表征大气环流的一种数据的可能性，用多级数字滤波方法反演了过去近三个世纪的大气年际变化过程，并揭示了历史上大气活动的某些特征。     

上海天文台GPS掩星技术研究现状

简要地介绍了GPS／LEO卫星无线电掩星技术的基本原理、意义以及国际上的最近动态，列举了几个主要的LEO卫星计划；重点分析了GPS掩星探测地球大气技术中需要注意的若干问题，并推出可能采取的改进方案和相应的技术路线。上海天台在GPS／LEO空基气象学中已经成功地提出：通过通约LEO／GPS轨道方法，实现掩星地面观测点控制的新思路。作为一个应用实例，针对东中国海洋上空大气状况对中国东部经济发达的地区特别是上海地区的天气有着重要影响的背景，提出利用通约LEO／GPS卫星可对该地区大气实施监控。为了充分利用GPS／LEO掩星观测资源，上海天台开展了振幅反演的计算方法研究；提出了在振幅反演中存在着无线电信号几何衰减和物理衰减两种不同的衰减机制，并考虑了它们的数学模型以及对反演结果的影响。简要地叙述了掩星质量因子的定义和计算方法。作为国内天地球动力学研究中心，上海天台将与国内外一些合作单位考虑建立GPS／LEO掩星技术观测处理的软件系统。作为空基GPS气象学的推广，还考虑进行山基和飞机载掩星观测实验，论证用这些方法监测局部大气剖面的可行性以及它们在国民经济和科学研究上的作用。     

Correcting the superrefraction effect in the GPS/LEO occultation technique

The Abel integral transformation in GPS/LEO occultation technique requires the atmospheric index of refraction n to be a single-valued function of the refractional radius a. This condition is broken when the vertical refractivity gradient is less than a critical value dN/dr∼-0.16 N-units m⁻¹, and it is called superrefraction. The Abel integral transformation is no longer valid under this condition, and, if the classical Abel transformation is still formally applied, then a negative refractivity bias occurs in results. The physical characteristics and mathematical expression of the superrefraction phenomenon in the lower troposphere are described. In the frame of a general Abel integral transformation, the inversion algorithm of the atmospheric profiles in and below the superrefraction layer is discussed. Under a simple assumption of the constant vertical gradient of refractivity in the sampling interval, the simulation calculation is carried out on UK High Resolution Radiosonde Data. The computational results have verified the relationship between the negative refractivity bias and the superrefraction phenomenon, as well as the validity of the general Abel transformation proposed.     

Spatio-temporal variations of density of the particles generating the optical emission of meteor plasma

The data of absolute spectrophotometry of meteors permit to determine number densities of particles of different elements.It is possible to solve mathematically the problem on space-time structure of the meteor with the model of a spherically symmetrical flare.The space distribution of radiating matter can be estimated by the integral equation of Abel type.Variation of density of particles in time can be found from the differential equations of kinetics.     

Cases of a star's planar motion integrated in the gravitational field of a rotating system

The paper deals with some special cases of the existence of a local integral of motion in a two-dimensional potential field rotating with constant angular velocity. In this case the trajectories may be completely determined, which is not always possible in other cases with a local integral, in contrast to the cases with a true integral. Some cases where the trajectories can be determined analytically are trivial but there are also some new nontrivial cases.     

A new technique for exact and unique solution of transfer equations in finite media

In this paper we develop a new method, combined with Laplace transformation and Wiener-Hopf technique, to obtain unique solutions of transport equations in finite media. For this purpose we consider the simple transfer equation for diffuse reflection by a plane-parallel finite atmosphere scattering radiation with moderate anisotropy. It is transformed, by Laplace transformation, into two coupled linear integral equations which are then reduced to two uncoupled Fredholm integral equations admitting of unique solutions by the method of iteration for values of the breadth of the atmosphere greater than that specified, depending on the scattering process.     

Ultra-Deep Optical Spectroscopy with PMAS. Using the Nod-and-Shuffle Technique

PMAS, the Potsdam Multi-Aperture Spectrophotometer, is a new integral field spectrograph in the optical, which is optimized for good transmission and high image quality from 350 nm to 1 μm. We present our plan to implement a CCD charge-shuffle mode to allow for beam switching with a very high degree of sky subtraction accuracy for faint object 3-D spectroscopy. This revised version was published online in July 2006 with corrections to the Cover Date.     

Increased accuracy of computations in the main satellite problem through linearization methods

The set of canonical redundant variables previously introduced by the first author is derived from Cartesian coordinates in a simplified form which allows the reduction of the Kepler problem to four harmonic oscillators with unit frequency. The coordinates are defined to be the direction cosines of the position of the particle along with the inverse of its distance. True anomaly is the new independent variable. The behavior of this new transformation is studied when applied to the numerical integrations of the main problem in satellite theory. In particular, computation time and accuracy of orbits in the new variables are compared with those in K-S and Cartesian variables. It is noteworthy that for high eccentricities the new variables require the least computation time for comparable accuracy, regardless of the integration scheme.     

Observations of photometric profiles of two planetary nebulae

It is noted that the Abel integral of a Gaussian function is a Gaussian function. This special property is used in order to develop an analytic method for studying photometric profile in Planetary Nebulae. Monochromatic observations have been made at the Haute-Provence Observatory using the RCA-CCD (320×512 pixels) mounted at theF/6 Newtonian focus of the 1.2 m telescope. Among the observed nebulae, two of them (NGC 6778 and NGC 7354) are regular enough to test the photometric profile method. The nebular emissivity per volume unit is then obtained for H⁺ and O⁺⁺ ions.     

Third Integral and the Dynamics of the Galaxy in the Neighborhood of the Sun

Observational data on the dynamics of stars in the neighborhood of the sun indicate the existence of a third integral besides the integrals of the angular momentum and energy. The Poincaré integral is proposed as a third integral. The consequences of this assumption are derived and compared with available astrophysical data.