Visibility intervals between two artificial satellites under the action of Earth oblateness

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

Open Access

Visibility intervals between two artificial satellites under the action of Earth oblateness

M. K. Ammar

M. R. Amin

and

M.H.M. Hassan

| Jul 05, 2018

Applied Mathematics and Nonlinear Sciences

Volume 3 (2018): Issue 2 (July 2018)

About this article

Cite

Page range: 353 - 374

Received: Feb 06, 2018

Accepted: Jul 05, 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00028

Keywords
Visibility function, line of site, Earth Oblateness, 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.

Visibility Intervals Between AQUA and ARIRANG2 during 24-H

Visibility Intervals Between AQUA and ARIRANG2 24-H with Oblateness Force

Visibility Intervals Between HST and ODIN For 24-H

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

Visibility Intervals Between CFESAT and MTI For 24-H

Visibility Intervals Between CFESAT and MTI For 24-H with Oblateness Force

Visibility Intervals Between HST and ODIN 24 Houres

	Without Earth Oblateness Force				With Earth Oblateness Force
			visibility time				visibility time
	Rise	Set	m	s	Rise	Set	m	s
1	39.3255	44.4432	5	7.062	-	5.86362	-	-
2	87.2035	92.0758	4	52.338	14.1397	22.0401	7	54.024
3	134.82	139.913	5	5.52	28.8463	43.6288	14	46.59
4	182.699	187.545	4	50.76	57.927	91.3591	33	25.926
5	230.316	235.383	5	4.02	105.468	139.084	33	36.96
6	278.195	283.014	4	49.14	153.145	186.832	33	41.22
7	325.812	330.852	5	2.4	200.854	234.559	33	42.3
8	373.691	378.843	5	9.12	248.578	282.308	33	43.8
9	421.307	426.322	5	0.9	296.07	330.036	33	57.96
10	469.188	473.952	4	45.84	344.041	377.786	33	44.7
11	516.803	521.792	4	59.34	391.776	425.514	33	44.28
12	564.684	569.421	4	44.22	439.514	473.263	33	44.9
13	612.298	617.261	4	57.72	487.252	520.92	33	40.08
14	660.18	664.98	4	48	534.992	568.741	33	44.94
15	707.794	712.731	4	56.22	582.731	616.47	33	44.43
16	755.676	760.359	4	40.98	630.473	664.219	33	44.76
17	803.289	808.201	4	54.72	678.212	711.948	33	44.16
18	851.172	855.828	4	39.18	725.954	759.697	33	44.58
19	898.785	903.67	4	53.1	773.694	807.426	33	43.92
20	964.668	951.297	4	37.74	821.437	855.175	33	44.28
21	994.28	999.14	4	51.6	869.178	902.904	33	43.65
22	1042.16	1046.77	4	36.6	916.92	950.653	33	43.98
23	1089.78	1094.61	4	49.8	964.661	998.382	33	43.62
24	1137.66	1142.23	4	34.2	1012.4	1046.13	33	43.8
25	1185.27	1190.08	4	48.6	1060.15	1093.86	33	42.6
26	1233.16	1237.7	4	32.4	1107.89	1141.61	33	43.2
27	1280.77	1285.55	4	46.8	1155.63	1189.34	33	42.6
28	1328.65	1333.17	4	31.2	1203.37	1237.09	33	43.2
29	1376.26	1381.02	4	45.6	1251.11	1248.82	33	42.6
30	1424.15	1428.64	4	29.4	1298.86	1332.56	33	42
31	-	-	-	-	1346.6	1380.29	33	41.4
32	-	-	-	-	1394.34	1428.04	33	42

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
ρ (kg/km³)	3.63E-05	4.6E-05	0.000354	0.000369
ρ_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

Visibility Intervals Between AQUA and ARIRANG 24 Houres

	Without Earth Oblateness Force				With Earth Oblateness Force
	Rise	Set	visibility time		Rise	Set	visibility time
			m	s			m	s
1	17.1074	44.8663	27	45.534	-	2.35384	-	-
2	66.4086	94.0482	27	38.376	14.4534	51.6719	37	13.1
3	115.669	143.318	27	38.94	64.843	100.955	36	6.72
4	164.973	192.499	27	31.56	114.976	150.222	35	14.76
5	214.236	241.768	27	31.92	164.951	199.507	34	33.36
6	263.542	290.948	27	24.36	214.755	248.754	33	59.94
7	312.807	340.216	27	24.54	264.522	298.042	33	31.2
8	362.115	389.396	27	16.86	314.144	347.279	33	8.1
9	411.382	438.663	27	16.86	364.522	396.57	32	2.88
10	460.692	487.842	27	8.94	413.301	445.8	32	29.94
11	509.962	537.108	27	8.76	462.871	495.093	32	13.32
12	559.276	586.286	27	6	512.306	544.32	32	0.84
13	608.547	635.552	27	0.3	561.825	593.615	31	47.4
14	657.863	684.729	26	51.96	611.207	642.839	31	37.92
15	707.135	733.994	26	51.54	660.689	692.135	31	26.76
16	756.453	783.171	26	43.08	710.033	741.357	31	19.44
17	805.728	832.435	26	42.42	759.488	790.655	31	10.02
18	855.048	881.611	26	33.78	808.804	839.876	31	4.32
19	904.325	930.874	26	32.94	858.238	889.174	30	56.16
20	953.647	980.049	26	24.12	907.532	938.394	30	51.72
21	1002.93	1029.31	26	22.8	965.95	987.694	30	44
22	1052.25	1078.49	26	14.4	1006.23	1036.91	30	40.8
23	1101.35	1127.75	26	13.2	1055.63	1086.21	30	34.8
24	1150.86	1176.92	26	3.6	1104.9	1135.43	30	31.8
25	1200.14	1226.18	26	2.4	1154.29	1184.73	30	26.4
26	1249.47	1275.36	25	53.4	1203.54	1233.95	30	24.6
27	1298.75	1324.62	25	52.2	1252.93	1283.25	30	19.2
28	1348.08	1373.79	25	42.6	1302.17	1332.47	30	18
29	1397.37	1423.05	25	40.8	1351.55	1381.77	30	13.2
30	-	-	-	-	1400.79	1430.99	30	12

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
ρ (kg/km³)	0.001162	0.003008
ρ_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

Visibility Intervals Between CFESAT and MTI 24 Houres

	Without Earth Oblateness Force				With Earth Oblateness Force
			visibility time				visibility time
	Rise	Set	m	s	Rise	Set	m	s
1	430.519	432.975	2	27.36	2.48729	10.1979 7		42.6366
2	476.988	479.867	2	52.74	27.8353	40.9145	13	4.752
3	523.051	527.147	4	5.76	49.141	56.6622 7		31.26
4	569.583	573.973	4	23.4	74.605	87.7845	13	10.77
5	615.801	621.095	5	17.64	95.8712	103.138 7		16.008
6	662.353	667.899	5	32.76	121.338	134.611	13	16.38
7	708.642	714.947	6	18.3	142.528	149.665 7		8.22
8	755.203	761.74	6	32.22	168.1	181.437	13	20.22
9	801.535	808.742	7	12.42	189.261	196.185 6		55.44
10	848.101	855.526	7	25.5	214.827	228.227	13	24
11	894.462	902.496	8	2.04	235.913	242.757 6		50.64
12	941.03	949.275	8	14.7	261.583	275.027	13	26.64
13	987.413	996.22	8	48.42	282.643	289.308 6		39.9
14	1033.98	1042.99	9	0.6	308.306	321.796	13	29.4
15	1080.38	1089.92	9	32.4	329.285	335.916 6		37.86
16	1126.95	1136.69	9	44.4	355.057	368.578	13	31.26
17	1173.37	1183..	6 10	13.8	376.01	382.491 6		28.86
18	1219.93	1230.37	10	26.4	401.777	429.13	13	29.52
19	1266.36	1277.26	10	54	422.638	429.13 6		42.6
20	1312.93	1324.02	11	5.4	448.525	462.103	13	43.68
21	13.5937	1370.9	11	31.8	469.357	475.726 6		22.14
22	1405.93	1417.66	11	43.8	495.241	508.85	13	36.54
23	-	-	-	-	515.968	522.395 6		25.62
24	-	-	-	-	541.985	555.61	13	37.5
25	-	-	-	-	562.68	569.009 6		19.74
26	-	-	-	-	588.7	602.351	13	39.06
27	-	-	-	-	609.273	615.705 6		25.92
28	-	-	-	-	635.441	649.103	13	39.72
29	-	-	-	-	655.978	662.335 6		21.42
30	-	-	-	-	682.152	695.45	13	17.88
31	-	-	-	-	702.554	709.056 6		30.12
32	-	-	-	-	728.89	742.586	13	41.76
33	-	-	-	-	749.251	755.7 6		26.94
34	-	-	-	-	775.6	789.321	13	43.26
35	-	-	-	-	795.811	802.441 6		37.98
36	-	-	-	-	822.335	836.06	13	43.5
37	-	-	-	-	842.502	849.102 6		36
38	-	-	-	-	869.042	882.795	13	45.18
39	-	-	-	-	889.048	895.865 6		49.02
40	-	-	-	-	915.775	929.528	13	45.18
41	-	-	-	-	953.733	942.536 6		48.18
42	-	-	-	-	962.48	976.261	13	46.86
43	-	-	-	-	982.266	989.316 7		33
44	-	-	-	-	1009.21	1022.99	13	46.8
45	-	-	-	-	1028.95	1036 7		3
46	-	-	-	-	1055.91	1069.72	13	48.6
47	-	-	-	-	1075.47	1082.79 7		19.2
48	-	-	-	-	1102.64	1116.44	13	48
49	-	-	-	-	1122.15	1129.84 7		19.8
50	-	-	-	-	1149.34	1163.18	13	50.4
51	-	-	-	-	1168.66	1176.29 7		37.8
52	-	-	-	-	1196.07	1209.89	13	49.2
53	-	-	-	-	1215.34	1222.99 7		39
54	-	-	-	-	1242.76	1256.63	13	52.2

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Visibility intervals between two artificial satellites under the action of Earth oblateness

Published Online: Jul 05, 2018

Page range: 353 - 374

Received: Feb 06, 2018

Accepted: Jul 05, 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00028

Keywords
Visibility function, line of site, Earth Oblateness, 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

Visibility Intervals Between HST and ODIN 24 Houres

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

Visibility Intervals Between AQUA and ARIRANG 24 Houres

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

Visibility Intervals Between CFESAT and MTI 24 Houres

Visibility intervals between two artificial satellites under the action of Earth oblateness

Published Online: Jul 05, 2018

Page range: 353 - 374

Received: Feb 06, 2018

Accepted: Jul 05, 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00028

KeywordsVisibility function, line of site, Earth Oblateness, 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

Visibility Intervals Between HST and ODIN 24 Houres

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

Visibility Intervals Between AQUA and ARIRANG 24 Houres

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

Visibility Intervals Between CFESAT and MTI 24 Houres

Keywords
Visibility function, line of site, Earth Oblateness, Rise and Set times