基于轨道间最小距离的空间环境指数

doi:10.12305/j.issn.1001-506X.2024.11.20

Abstract

Abstract:

The space index is a quantitative assessment index that describes the long-term impact of space debris on the space environment. This index allows for a comparative analysis of whether the in-orbit operation of a space object poses a significant threat to other objects or the overall environment. This paper analyzes and compares existing typical space indices and their modeling methods. Addressing the shortcomings in the calculation of average collision risk in previous models, a space index model based on the minimum orbital intersection distance (MOID), namely the MOID-based space index (MBSI). This index considers factors such as the mass and effective cross-sectional area of space debris and incorporates collision risk. The MBSI indices of different space objects in the low Earth orbit (LEO) are calculated and compared with the results of existing R_N and CSI indices, providing a comprehensive analysis. The results show that the conformity between MBSI and R_N and CSI indices exceeds 60%. Additionally, MBSI better reflects the danger level of space objects throughout their lifespan.

Key words: space debris, minimum orbital intersection distance (MOID), collision risk, space index

CLC Number:

Enhui WU, Jing LIU, Xu YANG. Minimum orbital intersection distance based space index[J]. Systems Engineering and Electronics, 2024, 46(11): 3784-3791.

Figures/Tables 8

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References 31

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指数名称	公式	提出机构	提出时间/年份	质量M	截面积A	空间密度F	空间通量D	寿命l	轨道倾角i
RC	RC=P·M_i	NASA Johnson Space Center	2009	√	√	√	-	-	-
EC	$\mathrm{EC}=\sum\limits_{t=t_{\text {start }}}^{t_{\text {end }}}\left(D(h) \cdot A \sum\limits_{t=t_{\text {frag }}}^{t_{\text {end }}}(\Delta D(h) \cdot A)\right) $	Technical University of Braunschweig	2014	-	√	-	√	-	-
R_N	$R_{\mathrm{N}}=\left(\frac{M}{M_0}\right)^{1.75} \cdot \frac{\overline{F(h)}}{\overline{F\left(h_0\right)}} \cdot \frac{l(h)}{l\left(h_0\right)} $	Institute of Information Science and Technologies	2014	√	-	-	√	√	-
CSI	$\operatorname{CSI}=\frac{M}{M_0} \cdot \frac{D(h)}{D_0} \cdot \frac{l(h)}{l\left(h_0\right)} \cdot \frac{1+k \varGamma(i)}{1+k} $	Institute of Applied Physics	2014	√	-	√	-	√	√
ECOB	$ \mathrm{ECOB}=\sum\limits_{j=1}^{N_{\mathrm{tar}}} w_j P_{c, j}$	University of Southampton	2016	-	√	-	√	-	-

NORADID	质量/kg	CSI	R_N	MBSI	CSI排名	R_N排名	MBSI排名
22285	8 225.97	0.262 2	79.517 1	4 321.702 1	1	1	1
19120	8 225.97	0.203 2	73.722 1	2 565.905 0	7	6	2
20625	8 225.97	0.237 0	79.517 1	2 481.016 8	4	4	3
17590	8 225.97	0.248 0	79.517 1	2 255.914 5	3	3	4
29499	4 086.00	0.007 4	1.194 9	1 426.449 4	18	18	7
22803	8 225.97	0.248 4	79.517 1	1 992.651 7	2	2	5
16182	8 225.97	0.214 1	64.239 6	1 918.211 2	6	7	6
22823	1 890.98	0.046 4	5.626 3	287.902 9	12	13	9
25260	2 730.43	0.013 4	1.419 7	701.136 8	17	16	8
23705	8 225.97	0.233 8	79.517 1	46.560 0	5	5	10
27453	1 403.00	0.029 1	2.494 9	10.317 9	14	14	14
38771	4 086.00	0.079 8	13.228 2	34.717 9	9	9	11
25400	8 225.97	0.150 5	55.115 8	32.502 8	8	8	12
12443	1 421.21	0.018 2	1.756 0	9.201 2	15	15	15
25634	2 490.00	0.061 7	9.106 9	12.187 5	10	10	13
39177	7 000.00	0.029 2	7.374 0	8.447 5	13	11	16
16682	1 421.21	0.017 0	1.402 6	6.779 9	16	17	17
25394	2 444.00	0.047 3	6.589 9	5.103 2	11	12	18

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Minimum orbital intersection distance based space index

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