基于仰角视元模型的星地快速覆盖分析方法

doi:10.7527/S1000-6893.2024.30372

Abstract

Abstract:

The technology of satellite-ground coverage analysis plays an important role in the tasks such as satellite communication, navigation, and Earth observation. Considering the demand for ground coverage by satellite payloads, this paper proposes a fast coverage analysis method with the constraints of the ground elevation angle. The view element equation of the ground elevation angle is established, and the analytical solution expression for the equation is derived. The trajectory intersection method is used to quickly solve for the visible window of the ground elevation field of view to the satellite, namely, the time interval during which the satellite satisfies the ground elevation constraints. Subsequently, an adaptive search method is designed to rapidly determine the visible window. Through simulation experiments, it can be found that the calculation error of the visible window with the proposed method is on the order of 0.01 s and the computational efficiency is improved by 89.7% as compared to traditional numerical methods, verifying the effectiveness and efficiency of the proposed model and method.

Key words: satellite-ground coverage analysis, elevation angle view element, field of view mapping, adaptive search, analytical solution

CLC Number:

V474.2

Yi GU, Xiucong SUN, Liming FAN, Shenggang LIU, Guohua WU. A rapid satellite-ground coverage analysis method based on elevation view element model[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(23): 330372.

Figures/Tables 16

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Table 1

Table 2

Table 3

Fig.6

Fig.7

Table 4

Table 5

Fig.8

Table 6

Table 7

Calculation results of sensitivity analysis

$ε$	起始时间/s	结束时间/s	时长/s	Time/s	采样点数
0.05	28 983.208 7	29 002.114 5	18.905 9	0.345	92
	29 200.957 9	29 220.056 5	19.098 7
	34 783.420 3	35 017.391 6	233.971 3
	77 678.343 8	77 881.273 5	202.929 7
0.01	28 983.205 4	29 002.119 0	18.913 6	0.623	429
	29 200.959 8	29 220.059 8	19.099 9
	34 783.412 4	35 017.392 1	233.979 7
	77 678.340 6	77 881.274 0	202.933 4
0.005	28 983.205 4	29 002.119 0	18.913 6	1.033	858
	29 200.959 8	29 220.059 8	19.099 9
	34 783.412 4	35 017.392 1	233.979 7
	77 678.340 6	77 881.274 0	202.933 4
0.001	28 983.205 4	29 002.119 0	18.913 6	4.578	4 301
	29 200.959 8	29 220.059 8	19.099 9
	34 783.412 4	35 017.392 1	233.979 7
	77 678.340 6	77 881.274 0	202.933 4

Table 7

Fig.9

References 30

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半锥角/（°）	轨迹相交法/s			STK/s			误差/s
半锥角/（°）	起始时间	结束时间	时长	起始时间	结束时间	时长	误差/s
80	28 889.737 1	29 317.219 9	427.482 8	28 889.728 7	29 317.167 4	427.438 7	0.030 4
	34 671.085 9	35 133.833 6	462.747 7	34 671.062 8	35 133.797 9	462.735 1	0.029 4
	77 507.261 3	78 048.524 0	541.262 7	77 507.219 3	78 048.459 7	541.240 4	0.053 2
70	29 017.106 4	29 188.678 6	171.572 2	29 017.116 7	29 188.622 1	171.505 4	0.033 4
	34 781.673 1	35 021.4570	239.783 9	34 781.638 2	35 021.434 7	239.796 5	0.028 6
	77 592.132 5	77 965.1597	373.027 2	77 592.081 0	77 965.092 3	373.011 2	0.059 5

半锥角/（°）	轨迹相交法/s			STK/s			误差/s
半锥角/（°）	起始时间	结束时间	时长	起始时间	结束时间	时长	误差/s
80	11 969.795 7	12 165.460 8	195.665 1	11 969.871 2	12 165.407 5	195.536 3	0.064 4
	17 565.698 9	18 050.128 1	484.429 2	17 565.698 4	18 050.096 9	484.398 4	0.015 9
	23 334.699 4	23 876.949 4	542.250 0	23 334.695 9	23 876.924 4	542.228 5	0.014 2
	29 315.759 6	29 624.284 1	308.524 5	29 315.761 6	29 624.248 9	308.487 3	0.018 6
	65 440.131 6	65 800.174 9	360.043 3	65 440.075 9	65 800.107 3	360.031 3	0.061 7
	71 203.896 4	71 750.191 4	546.295 0	71 203.842 7	71 750.121 7	546.279 0	0.061 7
	77 035.120 3	77 502.009 3	466.889 0	77 035.082 2	77 501.926 3	466.844 1	0.060 5
	82 938.299 9	83 068.779 1	130.479 2	82 938.364 5	83 068.582 0	130.217 5	0.130 9
70	17 666.441 5	17 948.402 2	281.960 7	17 666.440 9	17 948.371 2	281.930 3	0.015 8
	23 420.296 9	23 790.018 1	369.721 2	23 420.285 8	23 789.994 7	369.708 9	0.017 3
	71 289.611 9	71 665.792 4	376.180 5	71 289.564 9	71 665.734 9	376.170 0	0.052 2
	77 143.714 8	77 394.359 6	250.644 8	77 143.683 5	77 394.283 3	250.599 9	0.053 8

半锥角/（°）	自适应搜索求根法/s				STK/s			误差/s
半锥角/（°）	起始时间	结束时间	时长	Time	起始时间	结束时间	时长	误差/s
60	28 979.255 2	29 224.194 1	244.939 0	0.547	28 979.310 1	29 224.140 5	244.830 4	0.054 3
	34 750.741 2	35 049.974 1	299.232 9		34 750.762 0	35 049.959 1	299.197 0	0.017 9
	77 573.325 8	77 986.205 0	412.879 2		77 573.337 2	77 986.193 5	412.856 3	0.011 5
65	28 952.949 3	29 253.354 3	300.405 0	0.635	28 952.935 8	29 253.334 6	300.398 8	0.016 6
	34 729.031 7	35 074.880 1	345.848 4		34 728.994 2	35 074.870 5	345.876 3	0.023 5
	77 554.628 1	78 002.008 3	447.380 2		77 554.573 1	78 001.958 1	447.385 1	0.052 6

半锥角/（°）	自适应搜索求根法/s				STK/s			误差/s
半锥角/（°）	起始时间	结束时间	时长	Time	起始时间	结束时间	时长	误差/s
55/45	28 983.205 4	29 002.119 0	18.913 6	0.623	28 983.207 4	29 002.092 3	18.884 9	0.014 4
	29 200.959 8	29 220.059 8	19.099 9		29 200.985 1	29 220.056 2	19.071 2	0.014 4
	34 783.412 4	35 017.392 1	233.979 7		34 783.412 9	35 017.392 6	233.979 7	0.000 5
	77 678.340 6	77 881.274 0	202.933 4		77 678.345 3	77 881.266 0	202.920 7	0.006 3
65/55	28 952.949 3	29 253.354 3	300.405 0	0.592	28 952.935 8	29 253.334 6	300.398 8	0.016 6
	34 729.031 7	35 074.880 1	345.848 4		34 728.994 2	35 074.870 5	345.876 3	0.023 5
	77 623.547 9	77 935.989 9	312.441 9		77 623.550 5	77 935.986 2	312.435 7	0.003 1

半锥角/（°）	暴力法计算结果/s
半锥角/（°）	起始时间	结束时间	起始误差	结束误差	Time
圆锥60	28 979.249 3	29 224.149 3	-0.060 8	0.008 8	5.744
	34 750.731 7	35 049.931 7	-0.030 3	-0.027 4
	77 573.228 1	77 986.128 1	-0.109 1	-0.065 4
矩形55/45	28 983.149 3	29 002.049 3	-0.058 1	-0.043 0	6.164
	29 200.949 3	29 220.049 3	-0.035 8	-0.006 9
	34 783.331 7	35 017.331 7	-0.081 2	-0.060 9
	77 678.328 1	77 881.228 1	-0.017 2	-0.037 9
圆锥65	28 952.949 3	29 253.249 3	0.013 5	-0.085 3	5.570
	34 729.031 7	35 074.731 7	0.037 5	-0.138 8
	77 554.628 1	78 001.828 1	0.055 0	-0.130 0
矩形65/55	28 952.949 3	29 253.2493	0.013 5	-0.085 3	5.794
	34 729.031 7	35 074.731 7	0.037 5	-0.138 8
	77 623.528 1	77 935.9281	-0.022 4	-0.058 1

A rapid satellite-ground coverage analysis method based on elevation view element model

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