Orbit Determination of High-Orbit Space Targets Based on Space-Based Optical Angle Measurement

Lei Liu; Jianfeng Cao

doi:10.3788/AOS202141.1912002

Acta Optica Sinica, Volume. 41, Issue 19, 1912002(2021)

Orbit Determination of High-Orbit Space Targets Based on Space-Based Optical Angle Measurement

Lei Liu^* and Jianfeng Cao

Author Affiliations

Science and Technology on Aerospace Flight Dynamics Laboratory, Beijing Aerospace Control Center, Beijing 100094, China

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Figures & Tables(12)

Fig. 1. Schematic of space-based angle tracking of space targets

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Fig. 2. Position deviation corresponding to GEO orbital force model and its local magnification

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Fig. 3. Measurement deviation corresponding to GEO orbital force model and its local magnification

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Fig. 4. Observation residuals of GEO target orbit determination simulation. (a) Residual of right ascension; (b) residual of declination

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Fig. 5. Result deviation of GEO target orbit determination simulation

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Fig. 6. Space－based angular observations of high orbit targets

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Fig. 7. Observational residuals of high－altitude target orbit determination. (a) Residual of right ascension; (b) residual of declination

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Fig. 8. Result deviation of high orbit target orbit determination

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Table 1. Initial trajectory parameters of platform and target
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Table 1. Initial trajectory parameters of platform and target
Orbit element a /km e i /(°) Ω /(°) ω /(°) M /(°)
Platform 7978.137 0 55.000 0 0 0
Target 42246.894 0.0007 0.933 86.2 68.5 205.5

Table 2. Calculation results of initial orbit of GEO target
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Table 2. Calculation results of initial orbit of GEO target
Parameter x /km y /km z /km v_x /(m·s^－1) v_y /(m·s^－1) v_z /(m·s^－1)
IOD 41707.6 3891.9 －620.5 －624.3 3033.2 62.7
Error －379.5 －2.7 58.8 －340.5 －23.5 54.8

Table 3. Residual statistics of GEO target orbit determination simulation
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Table 3. Residual statistics of GEO target orbit determination simulation
Parameter Δα₁ Δα₂ Δβ₁ Δβ₂
Mean /(″) 0.940 －0.353 －1.058 －10.845
Standard deviation /(″) 102.808 102.353 88.238 91.220

Table 4. Calculation results of high orbit target orbit

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Table 4. Calculation results of high orbit target orbit

Parameter	x /km	y /km	z /km	v_x /(m·s^－1)	v_y /(m·s^－1)	v_z /(m·s^－1)
σ₀	－1834	21483	15983	－2513	－1927	2186
ε₀	17	141	57	40	105	37
σ₁	－1849	21505	15994	－2505	－1960	2161
ε₁	15.164	114.974	45.975	30.252	80.337	28.020
σ₂	－1843	21485	15993	－2509	－1944	2179
ε₂	0.214	1.771	0.717	0.476	1.264	0.441

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Lei Liu, Jianfeng Cao. Orbit Determination of High-Orbit Space Targets Based on Space-Based Optical Angle Measurement[J]. Acta Optica Sinica, 2021, 41(19): 1912002

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