利用空中球面边值问题确定似大地水准面

针对航空重力向下延拓计算过程中的不稳定性,提出了扰动位空中球面边值问题,以航空重力测量数据作为扰动位在空中球面上满足的边值条件,得到扰动位空中球面边值问题,在球外部即为经典的球外边值问题,但对于球内直到地面则没有封闭的解析形式,给出了空中球面球内到地面区域的级数解,对于认识空中重力测量数据向下延拓特征和实际应用具有参考意义。利用地面实测数据计算结果表明,对于1km航高的测量数据,一阶解可满足厘米级高程异常的解算精度。

Local Quasi-geoid Determination Based on Air Boundary Value Problem

Aimed to the uncertainty of downward continuation for airborne gravity data.This paper discusses theair spherical boundary value problem of the disturbing potential,the airborne gravimetric data is used as the airboundary condition of the disturbance position,in which the external value is classical spherical boundary valueproblem,but the solution from spherical surface to the ground does not exist an analytical expression,a series ofexpression about air boundary problem are given in this paper which can be used in downward continuation ofairborne gravimetry data.Using ground data to check the calculation.for the gravity survey data of 1.km height,the first order solution can meet the centimeter level accurate of the calculation of the height anomaly.