内编队地球重力场测量性能数值分析  

Numerical analysis for earth gravity field measurement performance by inner-formation flying system

作　　者：刘红卫[1] 王兆魁[2] 张育林[1,2] 

机构地区：[1]国防科技大学航天科学与工程学院,湖南长沙410073 [2]清华大学航天航空学院,北京100084

出　　处：《国防科技大学学报》2013年第4期14-19,共6页Journal of National University of Defense Technology

基　　金：国家高分重大专项项目(GFZX04011101);国家自然科学基金项目(11002076)

摘　　要：内编队系统通过实现内卫星纯引力轨道环境和内卫星精密定轨,完成高精度地球重力场测量,实现了不依赖于加速度计的重力卫星实施新途径。针对内编队重力场测量性能难以解析分析的情况,基于MATLAB并行程序设计进行了重力场测量数值模拟,获得了内编队重力场测量的有效阶数及其精度。在内编队轨道高度为300km、内卫星干扰力为1.0×10-10m/s2、外卫星定轨精度为3cm、内外卫星相对状态测量精度为1mm的条件下,计算得到内编队测量重力场的有效阶数为72,相应的大地水准面累积误差为44cm,重力异常累积误差为4.5mGal,由此可知内编队测量重力场的有效阶数主要分布在低阶部分。The Earth gravity field can be measured with high precision by constructing the purely gravitational orbit of the inner-satellite in Inner-formation Flying System （ IFS）, which offers a new way to carry out gravity satellite measurement without accelerometers. Since it is difficult to analytically evaluate gravity field measurement performance by IFS, numerical simulation for gravity field measurement was done based on MATLAB parallel programs, and the highest degree of recovered gravity field model and the corresponding geoid and gravity anomaly errors were obtained. Under the condition that IFS orbit altitude is 300km, non-gravitational interference on the inner-satellite is 1.0 × 10 -10m/s2, the outer- satellite orbit determination error is 3cm and the measurement error of relative position between the inner-satellite and outer-satellite is 1 mm, the highest degree of recovered gravity field model is 72, the corresponding geoid cumulative error is 44cm, and the corresponding gravity anomaly cumulative error is 4.5mGal. It is known that the effective frequency band of gravity field measurement by IFS is at the lower degree.

关 键 词：内编队 重力场 数值模拟 有效阶数 定轨误差 

分 类 号：V19[航空宇航科学与技术—人机与环境工程] P228[天文地球—大地测量学与测量工程]