写一个无人机地理坐标系转机体坐标系的函数
时间: 2023-05-13 16:06:18 浏览: 169
好的,以下是一个无人机地理坐标系转机体坐标系的函数的示例代码:
```python
import math
def geo_to_body(lat, lon, alt, roll, pitch, yaw):
# Convert degrees to radians
lat = math.radians(lat)
lon = math.radians(lon)
roll = math.radians(roll)
pitch = math.radians(pitch)
yaw = math.radians(yaw)
# Earth's radius in meters
R = 6371000
# Calculate the position vector in ECEF coordinates
x = (R + alt) * math.cos(lat) * math.cos(lon)
y = (R + alt) * math.cos(lat) * math.sin(lon)
z = (R + alt) * math.sin(lat)
# Calculate the rotation matrix
R_roll = [[1, 0, 0],
[0, math.cos(roll), -math.sin(roll)],
[0, math.sin(roll), math.cos(roll)]]
R_pitch = [[math.cos(pitch), 0, math.sin(pitch)],
[0, 1, 0],
[-math.sin(pitch), 0, math.cos(pitch)]]
R_yaw = [[math.cos(yaw), -math.sin(yaw), 0],
[math.sin(yaw), math.cos(yaw), 0],
[0, 0, 1]]
R_body_to_ecef = [[0, 1, 0],
[0, 0, 1],
[1, 0, 0]]
R_ecef_to_body = [[0, 0, 1],
[1, 0, 0],
[0, 1, 0]]
R_body = [[0, 0, 0],
[0, 0, 0],
[0, 0, 0]]
# Multiply the rotation matrices to get the final rotation matrix
for i in range(3):
for j in range(3):
for k in range(3):
R_body[i][j] += R_roll[i][k] * R_pitch[k][j] * R_yaw[j][k]
# Calculate the position vector in body coordinates
pos_body = [[0], [0], [0]]
for i in range(3):
for j in range(3):
pos_body[i][0] += R_ecef_to_body[i][j] * (R_body_to_ecef[j][0] * x + R_body_to_ecef[j][1] * y + R_body_to_ecef[j][2] * z)
return pos_body
```
这个函数接受六个参数:纬度、经度、高度、横滚角、俯仰角和偏航角。它返回一个包含三个元素的列表,分别代表在机体坐标系下的 x、y、z 坐标。
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