垂线偏差时变计算公式的讨论  

Discussion about Formulas to Calculate Variation of Plumb-Line Deflection

作　　者：李月锋[1] 丁行斌[2] 李正心[1] 

机构地区：[1]中国科学院上海天文台,上海200030 [2]信息工程大学测绘学院,郑州450053

出　　处：《桂林工学院学报》2005年第1期58-61,共4页Journal of Guilin University of Technology

基　　金：国家自然科学基金重点项目 (10133010)

摘　　要：对用重复重力测量的方法测定垂线偏差时变的计算公式进行了探讨, 从物理大地测量学和地球动力学的角度分别推导出 2种不同的计算垂线偏差时变的微分公式, 即基于扰动位时变的微分公式和基于重力位时变的微分公式. 对后一公式的理论根据、推导过程进行了比较详细的叙述. 通过比较证实了两者的一致, 但后者思路更清晰、形式更简单; 用它进行计算, 远区域的影响会更小一些, 且精度不差于前者.Formula to calculate variation of plumb-line deflection by the way of repeated gravity measurement is discussed.Two different formulas from different points of geodesy and geodynamics deducing time-variation of plumb-line deflection are given:one is basic on time-variation of perturbation potential, the other is basic on time-variation of gravity potential. The theoretic basis and deducing process of the latter formula are emphasized. By analysis it is known that they are consistent in theory, but the latter is clearer in thought and simpler in form and less effect in far area and lower precision than the one calculated by the former.

关 键 词：垂线偏差时变 扰动位时变 重力位时变 

分 类 号：P223.7[天文地球—大地测量学与测量工程]