Calculation of line of site periods between two artificial satellites under the action air drag

M. K. Ammar; M. R. Amin; M.H.M. Hassan

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Calculation of line of site periods between two artificial satellites under the action air drag

M. K. Ammar

M. R. Amin

M.H.M. Hassan

| 01 juil. 2018

Applied Mathematics and Nonlinear Sciences

Édition 3 (2018): Edition 2 (July 2018)

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Publié en ligne: 01 juil. 2018

Pages: 339 - 352

Reçu: 23 janv. 2018

Accepté: 20 juin 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00027

Mots clés
Visibility function, line of site, Air Drag force, rise and set times

© 2018 M. K. Ammar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The relation between RSW and TNW-Coordinate systems

Visibility Intervals Between AQUA and ARIRANG2 during 24-H

Visibility Intervals Between AQUA and ARIRANG2 24-H with Air Drag Force

Visibility Intervals Between HST and ODIN For 24-H

Visibility Intervals Between HST and ODIN For 24-H with Air Drag Force

Visibility Intervals Between CFESAT and MTI For 24-H

Visibility Intervals Between CFESAT and MTI For 24-H Air Drag Force

Visibility Intervals Between AQUA And ARIRANG2 During 24 Houres

	Without Air Drag Force				With Air Drag Force
			visibility time				visibility time
	Rise	Set	m	s	Rise	Set	m	s
1	17.1074	44.8663	27	45.534	17.1027	44.8676	27	45.894
2	66.4086	94.0482	27	38.376	66.4145	94.0542	27	38.382
3	115.669	143.318	27	38.94	115.674	143.306	27	37.92
4	164.973	192.499	27	31.56	164.973	192.519	27	32.76
5	214.236	241.768	27	31.92	214.25	241.742	27	29.52
6	263.542	290.948	27	24.36	263.536	290.982	27	26.76
7	312.807	340.216	27	24.54	312.83	340.177	27	20.82
8	362.115	389.396	27	16.86	362.103	389.443	27	20.4
9	411.382	438.663	27	16.86	411.416	438.61	27	11.64
10	460.692	487.842	27	8.94	460.675	487.903	27	13.68
11	509.962	537.108	27	8.76	510.006	537.041	27	2.1
12	559.276	586.286	27	6	559.251	586.362	27	6.66
13	608.547	635.552	27	0.3	608.6	635.472	26	52.32
14	657.863	684.729	26	51.96	657.831	684.819	26	59.28
15	707.135	733.994	26	51.54	707.199	733.9	26	42.06
16	756.453	783.171	26	43.08	756.416	783.275	26	51.54
17	805.728	832.435	26	42.42	805.802	832.327	26	31.5
18	855.048	881.611	26	33.78	855.004	881.729	26	43.5
19	904.325	930.874	26	32.94	904.41	930.753	26	20.58
20	953.647	980.049	26	24.12	953.597	980.182	26	35.1
21	1002.93	1029.31	26	22.8	1003.02	1029.18	26	9.6
22	1052.25	1078.49	26	14.4	1052.19	1078.63	26	26.4
23	1101.35	1127.75	26	13.2	1101.64	1127.6	25	57.6
24	1150.86	1176.92	26	3.6	1150.79	1177.08	26	17.4
25	1200.14	1226.18	26	2.4	1200.26	1226.02	25	45.6
26	1249.47	1275.36	25	53.4	1249.4	1275.53	26	7.8
27	1298.75	1324.62	25	52.2	1298.88	1324.44	25	33.6
28	1348.08	1373.79	25	42.6	1348.01	1373.89	25	58.2
29	1397.37	1423.05	25	40.8	1397.5	1422.68	25	21

Visibility Intervals Between HST and ODIN 24 Houres

	Without Air Drag Force				With Air Drag Force
	Rise	Set	visibility time		Rise	Set	visibility time
			m	s			m	s
1	39.3255	44.4432	5	7.062	39.3208	44.4432	5	7.344
2	87.2035	92.0758	4	52.338	87.168	92.1059	4	56.274
3	134.82	139.913	5	5.52	134.901	139.846	4	56.7
4	182.699	187.545	4	50.76	182.584	187.635	5	3.06
5	230.316	235.383	5	4.02	230.484	235.246	4	45.72
6	278.195	283.014	4	49.14	278.002	283.163	5	9.66
7	325.812	330.852	5	2.4	326.072	330.642	4	34.2
8	373.691	378.843	5	9.12	373.42	378.69	5	16.26
9	421.307	426.322	5	0.9	421.663	426.033	4	22.2
10	469.188	473.952	4	45.84	468.84	474.217	5	22.62
11	516.803	521.792	4	59.34	517.259	521.42	4	9.66
12	564.684	569.421	4	44.22	564.261	569.743	5	28.92
13	612.298	617.261	4	57.72	612.861	616.8	3	56.34
14	660.18	664.98	4	48	659.682	665.267	5	35.1
15	707.794	712.731	4	56.22	708.47	712.175	3	42.3
16	755.676	760.359	4	40.98	755.105	760.791	5	41.16
17	803.289	808.201	4	54.72	804.087	807.541	3	27.24
18	851.172	855.828	4	39.18	850.528	856.314	5	47.16
19	898.785	903.67	4	53.1	899.714	902.896	3	10.92
20	964.668	951.297	4	37.74	945.952	951.836	5	53.04
21	994.28	999.14	4	51.6	995.353	998.24	2	53.22
22	1042.16	1046.77	4	36.6	1041.38	1047.36	5	31.8
23	1089.78	1094.61	4	49.8	1091.01	1093.57	2	33.6
24	1137.66	1142.23	4	34.2	1136.8	1142.88	6	4.8
25	1185.27	1190.08	4	48.6	1186.69	1188.87	2	10.8
26	1233.16	1237.7	4	32.4	1232.23	1238.4	6	10.2
27	1280.77	1285.55	4	46.8	1282.42	1284.12	1	42
28	1328.65	1333.17	4	31.2	1327.66	1333.92	6	15.6
29	1376.26	1381.02	4	45.6	1378.23	1379.29	1	3.6
30	1424.15	1428.64	4	29.4	1423.08	1429.44	6	21.6

Norad Two - Line Element Sets For The Satellites CFESAT and MTI

Satellite Orbital Elements	5-CFESAT	6-MTI
Equivalent altitude (Km)	468.8831	412.5092
a (Km)	6847.02	6790.646
n (rev/min)	0.010953	0.011074
e	0.000582	0.000812
i (degree)	35.4247	97.5789
Ω (degree)	203.043	17.7612
ω (degree)	183.8662	345.6071
M (degree)	176.2019	143.5229
p (kg=km³)	0.001162	0.003008
p_o (kg=km³)	0.001585	0.003725
h₀(Km) (kg/km³)	450	400
H (Km)	60.828	58.515
Epoch Year & Julian Date	18182.5017322	18182.7746284
time of data (min)	2018 07 01	2018 07 01
	12:02:28.526	18:02:08.608
B^*	6.71E-05	4.84E-05
BC =C_DA/m (m²/kg)	1.33E-05	4.07E-06

Visibility Intervals Between CFESAT and MTI 24 Houres

	Without Air Drag Force				With Air Drag Force
	Rise	Set	visibility time		Rise	Set	visibility time
			m	s			m	s
1	430.519	432.975	2	27.36	383.281	386.757	3	28.56
2	476.988	479.867	2	52.74	475.837	480.888	5	3.06
3	523.051	527.147	4	5.76	568.562	574.83	6	16.08
4	569.583	573.973	4	23.4	617.63	619.378	1	44.88
5	615.801	621.095	5	17.64	661.372	668.709	7	20.22
6	662.353	667.899	5	32.76	710.16	713.559	3	23.94
7	708.642	714.947	6	18.3	754.234	762.517	8	16.98
8	755.203	761.74	6	32.22	802.941	807.477	4	32.22
9	801.535	808.742	7	12.42	847.133	856.283	9	9
10	848.101	855.526	7	25.5	895.808	901.304	5	29.76
11	894.462	902.496	8	2.04	940.061	950.015	9	57.24
12	941.03	949.275	8	14.7	988.72	995.079	6	21.54
13	987.413	996.22	8	48.42	1033.01	1043.72	10	42.6
14	1033.98	1042.99	9	0.6	1081.66	1088.82	7	9.6
15	1080.38	1089.92	9	32.4	1125.98	1137.4	11	25.2
16	1126.95	1136.69	9	44.4	1174.61	1182.52	7	54.6
17	1173.37	1183..6	10	13.8	1218.97	1231.06	12	5.4
18	1219.93	1230.37	10	26.4	1267.58	1276.23	8	39
19	1266.36	1277.26	10	54	1311.98	1324.69	12	42.6
20	1312.93	1324.02	11	5.4	1360.55	1369.91	9	21.6
21	13.5937	1370.9	11	31.8	1405	1418.31	13	18.6
22	1405.93	1417.66	11	43.8	-	-	-	-

Norad Two - Line Element Sets For The Satellites AQUA, ARIRANG–2, HST and ODIN

Satellite Orbital Elements	1-AQUA	2-ARIRANG-2	3-HST	4-ODIN
Equivalent altitude (Km)	699.588	682.6205	543.2687	540.5256
a (Km)	7077.725	7060.757	6921.405	6918.662
n (rev/min)	0.010408	0.010445	0.010779	0.010769
e	0.000286	0.001669	0.000256	0.001057
i (degree)	98.2031	98.0676	28.4705	97.591
Ω (degree)	121.6097	76.9906	17.611	200.4958
ω (degree)	54.081	258.4665	301.12	186.4076
M (degree)	125.1605	101.4671	170.9719	173.7019
p (kg=km³)	3.63E-05	4.6E-05	0.000354	0.000369
p_o (kg=km³)	0.000145	0.000145	0.000697	0.000697
h₀(Km) (kg=km³)	600	600	500	500
H (Km)	71.835	71.835	63.822	63.822
Epoch Year & Julian Date	18180. 59770749	18180. 82019665	18182.935593	18182.93790454
time of data (min)	2018 06 29	2018 06 29	2018 07 01	2018 07 01
	13:31:30	19:41:03.004	21:57:32.134	22:30:32.994
B^*	2.5E-05	3.76E-05	1.36E-05	5.61E-05
BC =C_DA/m (m²/kg)	5.4E-05	8.1E-05	6.11E-06	2.52E-05

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Calculation of line of site periods between two artificial satellites under the action air drag

Publié en ligne: 01 juil. 2018

Pages: 339 - 352

Reçu: 23 janv. 2018

Accepté: 20 juin 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00027

Mots clés
Visibility function, line of site, Air Drag force, rise and set times

© 2018 M. K. Ammar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Visibility Intervals Between AQUA And ARIRANG2 During 24 Houres

Visibility Intervals Between HST and ODIN 24 Houres

Norad Two - Line Element Sets For The Satellites CFESAT and MTI

Visibility Intervals Between CFESAT and MTI 24 Houres

Norad Two - Line Element Sets For The Satellites AQUA, ARIRANG–2, HST and ODIN

Calculation of line of site periods between two artificial satellites under the action air drag

Publié en ligne: 01 juil. 2018

Pages: 339 - 352

Reçu: 23 janv. 2018

Accepté: 20 juin 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00027

Mots clésVisibility function, line of site, Air Drag force, rise and set times

© 2018 M. K. Ammar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Visibility Intervals Between AQUA And ARIRANG2 During 24 Houres

Visibility Intervals Between HST and ODIN 24 Houres

Norad Two - Line Element Sets For The Satellites CFESAT and MTI

Visibility Intervals Between CFESAT and MTI 24 Houres

Norad Two - Line Element Sets For The Satellites AQUA, ARIRANG–2, HST and ODIN

Mots clés
Visibility function, line of site, Air Drag force, rise and set times