郝卫峰^1,,
叶茂^2,,,
鄢建国²,
李斐^1,2
1. 武汉大学中国南极测绘研究中心, 武汉 430079
2. 武汉大学测绘遥感信息工程国家重点实验室, 武汉 430079

基金项目: 国家自然科学基金(41874010, 42030110, 41604004), 中央高校基本科研业务费专项资金(2042018kf0231, 2042020kf0012), 测绘遥感信息工程国家重点实验室自主科研项目联合资助


详细信息

作者简介: 郝卫峰, 男, 1983年生, 博士, 副教授, 主要从事大地测量数据处理的研究与教学工作.E-mail: haowf@whu.edu.cn

通讯作者: 叶茂, 男, 1989年生, 博士, 副研究员, 主要从事卫星精密定轨和重力场解算的研究工作.E-mail: mye@whu.edu.cn

中图分类号: P223

收稿日期:2020-05-03
修回日期:2021-03-12
上线日期:2021-07-10

Difference of normal gravity characteristics between the Moon and the Earth and its causes

HAO WeiFeng^1,,
YE Mao^2,,,
YAN JianGuo²,
LI Fei^1,2
1. Chinese Antarctic Center of Surveying and Mapping, Wuhan University, Wuhan 430079, China
2. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China


More Information

Corresponding author: YE Mao,E-mail:mye@whu.edu.cn

MSC: P223

--> Received Date: 03 May 2020
Revised Date: 12 March 2021
Available Online: 10 July 2021


摘要
摘要:月球和地球都非常接近于旋转椭球，基于正常椭球求定的正常重力场占据了月球和地球真实重力场的主要部分，比较月球和地球的正常重力，可以更好地理解这两个天体的重力变化特征.基于Clairaut定理求解月球和地球的正常重力，正常重力随纬度的变化呈现了相反趋势，即地球是两极的正常重力大于赤道的正常重力，而月球是两极的正常重力小于赤道的正常重力.从截断误差及椭球形状与自转角速度的协调关系分析了月球和地球正常重力随纬度变化产生相反趋势的原因：月球的椭球扁率与自转角速度之间的数值关系不满足行星流体静力学平衡条件，即利用Clairaut定理求解正常重力并不严格适用于月球.
关键词: 正常重力/
地球/
月球/
反趋势/
流体静力学平衡条件

Abstract:The Moon and the Earth are very similar to a rotating ellipsoid. The normal gravity of such a ellipsoid accounts for the main part of their real gravity. Comparing the normal gravity of the Moon and the Earth calculated by the Clairaut theorem permits to improve understanding the characteristic of the gravity for these two celestial bodies. The normal gravity variations with latitudes between the Moon and the Earth show an opposite trend, i.e. the polar normal gravity is smaller than that of the equator on the Moon while the polar normal gravity is greater than that of the equator on the Earth. This paper analyses the reasons for such a difference from the truncation error, and the relationship between the shape of the normal ellipsoid and rotation angular velocity. Our research suggests that the relationship between the flattening and rotation velocity of the Moon does not satisfy the hydrostatic equilibrium conditions, which means the Clairaut theorem cannot be used to calculate the normal gravity of the Moon.
Key words:Normal gravity/
The Earth/
The Moon/
Opposite trend/
Hydrostatics equilibrium condition



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