超高阶重力场模型的研究与实现  

Research and Realization of Ultra-high Degree Gravity Field Model

作　　者：胡品[1] 王建强[1,2,3] 张飞[1] 

机构地区：[1]东华理工大学测绘工程学院,江西南昌330013 [2]流域生态与地理环境监测国家测绘地理信息局重点实验室,江西南昌330013 [3]江西省数字国土重点实验室,江西南昌330013

出　　处：《测绘与空间地理信息》2017年第12期57-59,63,共4页Geomatics & Spatial Information Technology

基　　金：国家自然科学基金项目(41304020;41204003;41404026;41464001);东华理工大学博士科研启动基金项目(DHBK201114)资助

摘　　要：超高阶重力场模型的提出使大地水准面差距的计算结果越来越精确。本文主要介绍了采用重力场模型计算大地水准面差距的算法,采用标准向前列递推法求解缔合勒让德函数值,增大勒让德函数前三项,避免产生超高阶递推过程的不稳定现象。结果表明:增大勒让德函数前三项能稳定递推至2 700阶,验证了大地水准面差距验证算法、软件的正确性与可行性。Ultra-high model gravitational field proposed make geoid calculations more accurate. the method of calculating the geoid using gravity field models,using standard forward columnmethod to solve the associated Legendre function values,increasing the former three of Legendre function to avoid instability of recursive procedure; Calculate and Analysis the slope of based on Geoid Undulation using difference algorithm. the result show that increasing the former three of Legendre function can stability recursive to 2700 orders,geoid calculatd to verify the correctly and feasibility of the algorithm and software.

关 键 词：重力场 大地水准面差距 勒让德函数 拟合 

分 类 号：P223.0[天文地球—大地测量学与测量工程]