Vector method to compute the Cartesian (X, Y, Z) to geodetic ({\phi}, λ, h) transformation on a triaxial ellipsoid

The vector-based algorithm to transform Cartesian (X, Y, Z ) into geodetic coordinates (, λ, h) presented by Feltens (J Geod, 2007, doi:) has been extended for triaxial ellipsoids. The extended algorithm is again based on simple formulae and has successfully been tested for the Earth and other celestial bodies and for a wide range of positive and negative ellipsoidal heights.     

Fast transform from geocentric to geodetic coordinates

 A new iterative procedure to transform geocentric rectangular coordinates to geodetic coordinates is derived. The procedure solves a modification of Borkowski's quartic equation by the Newton method from a set of stable starters. The new method runs a little faster than the single application of Bowring's formula, which has been known as the most efficient procedure. The new method is sufficiently precise because the resulting relative error is less than 10⁻¹⁵, and this method is stable in the sense that the iteration converges for all coordinates including the near-geocenter region where Bowring's iterative method diverges and the near-polar axis region where Borkowski's non-iterative method suffers a loss of precision. Received: 13 November 1998 / Accepted: 27 August 1999     

A new solution to the lagrange's case of the three‐body problem

The motion of three particles, interacting by gravitational forces, is studied in a new coordinate system given by the principal axes of inertia, as determined by Euler angles, and using the inertia principal moments and an auxiliar angle as coordinates. The solution to the particular Lagrange case of the three‐body problem is reviewed and solved in these new coordinates. This revised version was published online in July 2006 with corrections to the Cover Date.     

关于2000中国大地坐标系的建议

简述了建议的我国新一代大地坐标系——2000中国大地坐标系的定义和实现,给出了参考椭球的定义常数和导出常数的计算公式及其常数值,以及椭球面及其外部的正常重力公式。     

中国VLBI网测站参数解析

目的 介绍了利用OCCAM 软件处理中国 VLBI网(CVN)4台站常规天体测量与大地测量观测资料的解算方案,包括参数设置、模型选取和数据编辑等。通过单次实验解算和联合平差,获得了ITRF2000下参考历元J2010.0时昆明和北京站cm 级的站坐标及 mm 级每年的站速度。解算值相对于嫦娥一号工程期间采用值的推算值,坐标改正最大至51.9cm,速度改正最大至11.5mm·a-1。     

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Bowring?????????????????H???????H??1 000 km?,??????????????????????????Bowring?????????????????????????????????????????????????????????????????????????????H?????     

彩色CRT显示器呈色域的确定

彩色显示器呈色域的确定是彩色管理系统中实现颜色空间转换的前提。不考虑亮度因素Y而仅把在CIE1931色度图上连接R、G、B三原色点形成的三角形区域认为是彩色显示器的呈色域,尚不能全面地描述显示器的呈色域。如果考虑亮度因素Y,那么,在不同的呈色亮度下,其呈色域的形状与大小是不同的。本文就彩色显示器在不同呈色亮度下呈色域的确定问题进行实验研究,得出相应结论。     

交会测量布站优化与数值分析

本文基于遗传算法研究了交会测量布站方法,通过建立优化模型并用计算机进行仿真,得出了合理的布站方式;然后分别从参数精度的选取、落点的散布以及交会角的变化等角度分析了该布站方式在实际测量中的适用性.结果表明各参数在一定限度内波动所引起的误差在容许范围内,证明了该方法优化结果在靶场应用中的有效性.     

22°晕的光强度和颜色分布

本文首次提出了22°晕的折射—衍射理论，计算了几种冰晶大小平均值ā和标准差σ情况下22°晕的径向光强度分布和色品坐标，给出了相对光强度曲线和色品曲线。探讨了冰晶大小及其分布对22°晕光强度和颜色分布的影响。理论计算的22°晕光强度分布与实测结果基本相符。事实上，22°晕是一种折射—衍射晕。     

乡村规划坐标测设的一种方法

通过对某一乡村规划道路中线及拆建边线测设工作的解剖,阐述了在困难地区如何利用大比例尺模拟地形图和规划道路中线交点坐标进行中线加密桩和拆建边线的坐标计算和测设工作。