弦线法解算大地线问题的研究.pdf

第19 卷 第5 期 青海大学学报( 自然科学版) Vol. 19 No.5 2001 年10 月 Journal of inghai University Oct.2001 宋宜容 ( , 810016) 在大地测量计算中, 弦线法可以解决若干大地测量问题文中介绍了大地线可以表示 成椭球 的弦线或曲面线, 且对任 一距离能得到精确的结果为了使结果达到亚毫米的精度, 大地线的长度限制在 100KM 左右 弦线法 大地线 正算 反算 :P204 :A The Research on the Question of Resolving Geodetic Line with Chord- line Method Song Yirong (Hydroelectric Department of inghaiUniversity,Xining 810016) Abstract Chord- linemethod can solvemany geodetic problems ingeodetic calculation.The paper gives some discussions about that geodetic line can be showed as chord- line or irregulare avea- lineof elliptic sphere and any distance can begiven exact result.For thepurpose of reaching themillmicron,the length of geodetic line must be limited within 100 kilometres. Key words chord- line method,geodetic line,direct calculation, indirect calculation , ( 1880) , ( ) , , (XYZ) ,, ,XYZ , , ,100km , 1 1. 1 , , C, , 1 2 12 21 2 2 1/2 N= a/ ( 1- e sin ) , i= 1,2 ( 1) i 1 2 [ 1] X = N cos ,Y = 0,Z = N ( 1- e ) sin (2) 1 1 1 1 1 1 1 [1] X2= N2cos2cos,Y2= - N2cos2sin 2 Z2= N2( 1- e ) sin2 (3) 1 2 2 2