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1 实验任务及目的
1. 了解常用坐标系统的基本知识;
2. 掌握地心地固坐标系下坐标与大地坐标系下坐标之间相互转换的方法,
编写程序进行实现;
3. 了解并掌握地心坐标与站心坐标间的相互转换。
2 数据来源及编程测试环境
MATLAB 2016a
3 实验内容及成果
3.1 大地坐标与地心地固坐标之间的相互转换
3.1.1 大地坐标转地心地固坐标——BLH2XYZ(pos)
1.程序设计
预期功能:将输入参数 pos(
[
𝐵, 𝐿, 𝐻
]
)转换为
[
𝑋, 𝑌, 𝑍
]
并输出。
设计思路:按
[
𝐵, 𝐿, 𝐻
]
与
[
𝑋, 𝑌, 𝑍
]
的换算关系编写函数,程序计算流程及步骤
如图 3-1 所示:
图 3-1 大地坐标转地心地固坐标计算流程示意
2.算例结果
大地坐标转地心地固坐标的算例结果如下表所示:
表 3-1 大地坐标转地心地固坐标算例结果
B
L
H
X
Y
Z
32.55165258
-76.05517747
497.85
1296948.55
-5223200.13
3412420.66
-5.70390942
-99.08322398
884.85
-1002096.49
-6268048.78
-629773.15
-14.65804010
17.00186163
86.67
5902212.93
1804697.28
-1603545.47
43.65184484
62.08014161
252.91
2164396.15
4084409.15
4380358.41
-46.55232398
-58.19086276
933.62
2316352.24
-3734563.76
-4608360.04
3.1.2 地心地固坐标转大地坐标——XYZ2BLH(coord)
1.程序设计
预期功能:将输入参数 coord(
[
𝑋, 𝑌, 𝑍
]
)转换为
[
𝐵, 𝐿, 𝐻
]
并输出。
设计思路:按
[
𝑋, 𝑌, 𝑍
]
与
[
𝐵, 𝐿, 𝐻
]
的换算关系编写函数,值得注意的是:大地
纬度的计算需要通过迭代实现,而大地高的计算又依赖于大地纬度 B,因此可以
先计算大地经度,再通过设置循环迭代计算大地纬度 B 和卯酉圈半径 N。
具体计算流程及步骤如图 3-3 所示:
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