摘要
传统的引力场梯度计算公式在两极附近存在奇异性,需要换用其他的非奇异计算公式。从奇异性产生的原因入手,并结合勒让德函数的有关性质,推导了一组新的计算公式。实际计算验证了该公式的正确性和有效性。
GOCE has released gravity gradients,but there aren＇t data in polar regions because the inclination of the orbit is about 96.7°.We need to simulate data with known gravity field model in this area,whereas many formulas to compute the gravity gradients are singular at poles,which can cause a lot of difficulties in gravity field recovery using GOCE data.In order to overcome the so-called singularities,we firstly analyze the singular term,then derives a new nonsingular expression for gravitational gradients calculation based on properties of Legendre function.At last we compare several different formulas through calculation.The proposed formulas is more accurate than conventional methods.
出处
《武汉大学学报（信息科学版）》
EI
CSCD
北大核心
2011年第12期1486-1489,共4页
Geomatics and Information Science of Wuhan University
基金
国家自然科学基金资助项目(41074015)
中国科学院资源环境科学与技术局专项资助项目(XMXX280730)
关键词
GOCE卫星
引力场梯度
非奇异
勒让德函数
GOCE satellite
gradient of the gravitational field
nonsingular
Legendre function
