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摘要: 载体运动速度和加速度的精确确定是航空重力中的关键问题之一。基于IGS发布的精密轨道和钟差产品，并对各种相关误差精确模型化，利用载波相位直接法计算速度和加速度。在静态条件下，水平方向的速度精度优于1.5 mm/s，加速度精度优于2.0 mm/s2；垂直方向的速度精度约为2.0 mm/s，加速度精度约为2.5 mm/s2。在动态条件下，与多参考站载波相位直接法精度相当，并且计算效率和解算成功率更高。结果表明了本文方法在航空重力中的有效性。Abstract: Precise velocity and acceleration is one of the key problems in airborne gravimetry. In this paper, a carrier phase-based velocity and acceleration determination method with precise orbit and clock products is introduced. In static case, the horizontal velocity and acceleration are better than 1.5 mm/s and 2.0 mm/s2, respectively, and the vertical ones are about 2.0 mm/s and 2.5 mm/s. In kinematic case, this method is comparable with the multi-reference stations method in precision, and has a higher computational efficiency and success rates. Meanwhile, the sampling rate of precise clock products only influences the velocity, and the order is lower than 1 mm/s. It turns out that the method presented here is effective in airborne gravimetry.
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Keywords:
- precise ephemeris /
- precise clock /
- carrier phase /
- velocity /
- acceleration
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图 1 动态实验速度和加速度结果比较
Figure 1. Comparison of Velocity and Acceleration in Kinematic Test
表 1 静态实验速度和加速度结果统计
Table 1 Statistics of Velocity and Acceleration in Static Test
速度/(mm\5s-1) 加速度/(mm\5s-2) N E U N E U 均值 PPVA -0.026 9 0.008 2 -0.026 9 -0.004 3 0.005 0 -0.004 0 EVA -0.020 1 0.020 1 -0.007 8 -0.002 7 0.005 6 -0.006 3 RMS PPVA 0.908 1 1.305 1 2.044 2 1.232 9 1.701 8 2.491 5 EVA 0.950 2 1.294 5 1.672 7 1.348 6 1.835 8 2.365 4 
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表 2 静态实验加速度结果统计/mGal
Table 2 Statistics of Acceleration in Static Test/mGal
30 s 60 s 90 s 120 s 均值 RMS 均值 RMS 均值 RMS 均值 RMS U 0.03 7.4 0.03 2.6 0.02 1.50 0.02 1.22 PPVA E 0.58 3.9 0.56 1.6 0.54 1.09 0.49 0.98 N -0.22 2.4 -0.21 0.9 -0.20 0.59 -0.18 0.51 U 0.62 3.7 -0.60 2.1 -0.57 1.44 0.52 1.23 EVA E 0.56 3.5 0.54 1.8 0.51 1.21 0.46 1.04 N -0.27 2.2 -0.26 1.1 -0.24 0.79 -0.22 0.71
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表 3 选择不同参考站的解算成功率统计
Table 3 Statistics of Success Rate with Different Reference Stations
参考站 参考站的选择 MSSC 0009 BVHS BVHS和0009 MSSC和BVHS MSSC和0009 MSSC、BVHS和0009 解算成功率/% 92.5 94.9 94.9 94.0 91.7 91.7 90.8
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表 4 动态实验速度和加速度差分结果统计
Table 4 Statistics of Velocity and Acceleration Difference in Kinematic Test
速度/(mm\5s-1) 加速度/(mm\5s-2) N E U N E U 均值 0.014 0 -0.055 6 0.019 7 -0.002 5 -0.000 5 -0.001 5 标准差 1.307 0 1.432 6 3.272 8 1.656 8 1.797 9 4.011 3
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表 5 动态实验加速度差值统计/mGal
Table 5 Statistics of Acceleration Difference in Kinematic Test/mGal
30 s 60 s 90 s 120 s 均值 标准差 均值 标准差 均值 标准差 均值 标准差 U -0.15 9.48 -0.15 4.14 -0.15 2.90 -0.14 2.63 E -0.05 4.79 -0.05 2.13 -0.05 1.44 -0.05 1.29 N -0.25 4.33 -0.25 1.75 -0.25 1.19 -0.24 1.07
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