# [1]柯福阳,王庆,潘树国.自动积分步长的GLONASS卫星轨道龙格库塔积分法[J].东南大学学报(自然科学版),2010,40(4):755-759.[doi:10.3969/j.issn.1001-0505.2010.04.018] 　Ke Fuyang,Wang Qing,Pan Shuguo.GLONASS orbit Runge-Kutta integral algorithm by automatic integral step length[J].Journal of Southeast University (Natural Science Edition),2010,40(4):755-759.[doi:10.3969/j.issn.1001-0505.2010.04.018] 点击复制 自动积分步长的GLONASS卫星轨道龙格库塔积分法() 分享到： var jiathis_config = { data_track_clickback: true };

40

2010年第4期

755-759

2010-07-20

## 文章信息/Info

Title:
GLONASS orbit Runge-Kutta integral algorithm by automatic integral step length

1 南京信息工程大学遥感学院, 南京 210044; 2 东南大学仪器科学与工程学院,南京 210096
Author(s):
1 School of Remote Sensing, Nanjing University of Information Science and Technology, Nanjing 210044, China
2 School of Instrument of Science and Engineering, Southeast University, Nanjing 210096, China

Keywords:

V557.1
DOI:
10.3969/j.issn.1001-0505.2010.04.018

Abstract:
In order to fix GLONASS(global navigation satellite system)satellites coordinate quickly and accurately, a correct GLONASS estate equation is given through comparing and analyzing different equations from different references. Then, different integral algorithm based on classical form, Runge-Kutta and Gill equation are put forward and compared. The accuracy of these methods are about the same but the rounding error of Gill is less. Detailed steps of Runge-Kutta based on Gill with fixed and automatic step length are introduced. The selection of fixed step length and convergence value of automatic step are discussed. The best convergence value is between 20 and 30. At last, the accuracy of GLONASS orbit Runge-Kutta integral algorithm by automatic step length based on Gill is analyzed using GLONASS broadcast navigation data. The integral error is less than 3m when integral time interval is 60 min.

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