摘要
加速度计的精度是影响惯性导航精度的最直接的和最重要的因素,对正常重力平均值的选取是否合理将直接影响到加速度计的精度的高低。传统上还是直接以纬度 45°处的正常重力值作为平均值,这是不科学、不合理的。在计算机代数系统中,将正常重力计算公式利用级数展开、牛顿迭代法,推导出纬度关于椭球第一偏心率的函数式,并在考虑推广到太阳系中各天体的基础上,推导出纬度随椭球第一偏心率变化而变化的函数关系式,得到部分天体数据验证,具有一定科学意义。
The accuracy of accelerometer is the most direct and important factor that affects the accuracy of inertial navigation,however,the selection of normal gravity mean value will directly affect the accuracy of the accelerometer. Traditionally,normal gravity at latitude 45° has been used as the average value,which is unscientific and unreasonable. In computer algebra system,by using series expansion and Newton iteration method,the normal gravity calculation formula is deduced as a function of latitude about the first eccentricity of ellipsoid.,and on the basis of considering the extension to the celestial bodies in the solar system,the functional relationship of latitude with the first eccentricity of ellipsoid is derived,then obtains the partial celestial body data verification,has certain scientific significance.
作者
边少锋
席梦寒
纪兵
欧阳永忠
BIAN Shaofeng;XI Menghan;JI Bing;OUYANG Yongzhong(Department of Navigation Engineering, Naval University of Engineering, Wuhan 430033, China;School of Remote Sensing and Geomatics Engineering, Nanjing University of Information Science and Technology,Nanjing 210044,China)
出处
《海洋测绘》
CSCD
2019年第5期9-13,共5页
Hydrographic Surveying and Charting
基金
国家自然科学基金(41774021
41631072)
关键词
正常重力平均值
纬度
椭球第一偏心率
正常椭球
牛顿迭代法
normal gravity average
latitude
first eccentricity of ellipsoid
normal ellipsoid
Newton iteration method