TRANSFORMATION FROM GEOCENTRIC TO GEODETIC COORDINATES USING NEWTONS ITERATION

被引:22
作者
LIN, KC
WANG, J
机构
[1] Institute for Simulation and Training, University of Central Florida, Orlando, 32826, FL
来源
BULLETIN GEODESIQUE | 1995年 / 69卷 / 04期
关键词
D O I
10.1007/BF00806742
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
A new procedure for the transformation from geocentric to geodetic coordinates is introduced and analyzed. This new procedure which contains only one trigonometric function uses the Newton's iteration to solve the root of a non-linear equation. Compared with the well-known Bowring's iterative algorithm which uses a number of trigonometric functions, the new procedure is more efficient in computation. Numeric examples are used to test the two algorithms and the results show that the new procedure converges just as well as Bowring's algorithm but requires less time for completion.
引用
收藏
页码:300 / 303
页数:4
相关论文
共 6 条
[1]  
Borkowski K. M., 1989, Bulletin Geodesique, V63, P50, DOI 10.1007/BF02520228
[2]  
Bowring B.R., 1976, SURV REV, P323, DOI [10.1179/sre.1976.23.181.323, 23:181, DOI 10.1179/003962676791280626]
[3]  
HIVONEN R, 1963, 27 OHIO STATE U I GE
[4]  
Laskowski P., 1991, Bulletin Geodesique, V65, P14, DOI 10.1007/BF00806337
[5]  
PAUL MK, 1973, B GEOD, V108, P135
[6]  
RAPP RH, 1984, GEOMETRIC GEODESY 1, P121