Sunspot Group 12209

group	Proj. U	Proj. WS	Corr. U	Corr. WS	B	L	LCM	Pos. angle	r	MU	MP

12209	453.19	2733.23	238.97	1450.57	-15.04	244.31	9.97	207.88	0.3530	-442.4	-210.6

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SDO HMI 2014-11-20 20:00:26 UT
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spot	Proj. U	Proj. WS	Corr. U	Corr. WS	B	L	LCM	Pos. angle	r	MU	MP

1	0.00	1.72	0.00	1.25	-19.55	276.98	42.65	240.52	0.7357	494.0	445.4
2	0.00	2.92	0.00	1.88	-4.79	273.52	39.19	259.83	0.6420	380.0	356.1
3	0.00	2.49	0.00	1.60	-4.72	273.33	38.99	259.88	0.6393	554.0	485.7
4	0.00	0.60	0.00	0.40	-11.05	273.57	39.24	250.44	0.6611	417.0	337.7
5	0.00	1.11	0.00	0.73	-11.71	273.13	38.80	249.29	0.6582	311.0	308.8
6	0.00	0.26	0.00	0.16	-8.86	272.11	37.78	253.11	0.6349	508.0	517.0
7	0.00	1.46	0.00	0.92	-4.71	271.62	37.29	259.45	0.6164	624.0	513.6
8	0.00	1.03	0.00	0.65	-5.10	271.57	37.24	258.82	0.6167	643.0	489.2
9	0.00	1.03	0.00	0.64	-4.08	271.25	36.91	260.38	0.6099	560.0	596.1
10	0.00	2.23	0.00	1.41	-9.11	271.35	37.01	252.41	0.6258	338.0	466.7
11	0.00	0.86	0.00	0.53	-5.23	270.98	36.65	258.43	0.6090	818.0	711.8
12	0.00	0.86	0.00	0.55	-10.08	271.47	37.13	250.97	0.6310	703.0	547.5
13	0.00	1.03	0.00	0.67	-14.35	271.14	36.80	244.45	0.6455	666.0	552.3
14	0.00	1.20	0.00	0.76	-11.92	270.56	36.23	247.76	0.6271	660.0	503.6
15	0.00	1.03	0.00	0.65	-13.28	269.96	35.62	245.38	0.6259	684.0	559.0
16	0.00	0.69	0.00	0.46	-19.36	271.11	36.77	237.48	0.6722	362.0	417.0
17	0.00	0.86	0.00	0.52	-5.54	268.88	34.54	257.24	0.5809	-650.0	-494.0
18	0.00	3.00	0.00	1.87	-11.73	269.31	34.97	247.38	0.6102	711.0	585.4
19	0.00	0.86	0.00	0.53	-11.26	268.76	34.43	247.81	0.6010	584.0	491.6
20	0.00	2.14	0.00	1.30	-8.82	267.92	33.59	251.33	0.5793	459.0	495.1
21	0.00	1.03	0.00	0.63	-11.25	268.17	33.84	247.51	0.5934	722.0	666.6
22	0.00	0.86	0.00	0.52	-8.36	267.48	33.15	251.89	0.5714	668.0	514.5
23	0.00	1.03	0.00	0.61	-5.86	267.25	32.91	256.07	0.5591	751.0	672.4
24	0.00	1.20	0.00	0.74	-11.85	267.85	33.52	246.37	0.5922	716.0	569.9
25	0.00	2.14	0.00	1.28	-6.10	267.23	32.89	255.65	0.5596	855.0	684.6
26	0.00	1.37	0.00	0.82	-8.29	267.26	32.93	251.89	0.5681	702.0	578.2
27	0.00	1.72	0.00	1.02	-5.23	267.03	32.70	257.10	0.5540	658.0	570.2
28	0.00	3.43	0.00	2.03	-4.96	266.98	32.65	257.57	0.5525	803.0	729.0
29	0.00	2.57	0.00	1.61	-15.36	268.01	33.68	241.08	0.6132	622.0	491.6
30	0.00	1.29	0.00	0.80	-15.69	267.30	32.97	240.12	0.6065	769.0	697.0
31	0.00	0.51	0.00	0.35	-24.83	269.51	35.18	229.40	0.6909	548.0	503.0
32	0.00	1.11	0.00	0.67	-10.71	265.99	31.65	247.11	0.5619	663.0	484.8
33	0.00	1.29	0.00	0.76	-11.21	264.84	30.51	245.54	0.5493	763.0	561.5
34	0.00	1.63	0.00	1.04	-21.38	265.87	31.54	230.99	0.6292	548.0	411.2
35	0.00	0.86	0.00	0.49	-6.80	263.24	28.90	252.48	0.5053	672.0	522.6
36	0.00	0.77	0.00	0.52	-26.77	266.41	32.08	224.71	0.6763	582.0	421.7
37	0.00	0.60	0.00	0.35	-12.48	263.22	28.88	242.19	0.5353	322.0	236.3
38	0.00	0.26	0.00	0.16	-23.80	264.79	30.46	226.94	0.6371	541.0	435.3
39	0.00	1.20	0.00	0.68	-6.77	262.12	27.78	251.88	0.4890	748.0	670.6
40	0.00	1.63	0.00	1.00	-20.51	262.93	28.59	229.59	0.5909	776.0	661.4
41	0.00	0.77	0.00	0.44	-11.52	260.92	26.58	242.00	0.4986	615.0	545.7
42	0.00	1.54	0.00	0.88	-11.13	260.84	26.51	242.66	0.4950	890.0	795.1
43	0.00	1.29	0.00	0.73	-11.76	260.81	26.47	241.47	0.4988	814.0	675.5
44	0.00	2.66	0.00	1.52	-11.61	260.76	26.42	241.70	0.4971	852.0	673.9
45	0.00	1.80	0.00	1.10	-20.72	262.03	27.70	228.46	0.5831	774.0	676.5
46	0.00	3.69	0.00	2.10	-12.04	260.63	26.30	240.83	0.4983	744.0	683.1
47	0.00	2.32	0.00	1.29	-7.67	260.06	25.73	248.73	0.4636	768.0	642.9
48	0.00	1.29	0.00	0.78	-20.90	261.57	27.24	227.75	0.5798	598.0	475.7
49	0.00	1.29	0.00	0.78	-21.19	261.41	27.08	227.21	0.5806	686.0	548.8
50	0.00	1.20	0.00	0.73	-21.44	261.14	26.81	226.59	0.5800	526.0	521.4
51	0.86	3.69	0.52	2.23	-21.47	260.86	26.53	226.27	0.5774	886.2	666.2
52	0.00	0.60	0.00	0.34	-13.12	259.60	25.27	237.93	0.4926	611.0	535.4
53	0.00	1.37	0.00	0.78	-14.17	259.62	25.28	236.12	0.5009	464.0	502.4
54	0.00	1.97	0.00	1.12	-12.84	259.40	25.07	238.23	0.4879	971.0	758.5
55	0.00	0.77	0.00	0.48	-23.75	261.05	26.72	223.49	0.6002	575.0	454.2
56	0.00	1.37	0.00	0.77	-12.35	259.18	24.85	238.91	0.4814	697.0	621.8
57	0.00	1.03	0.00	0.58	-12.93	259.18	24.84	237.85	0.4857	901.0	803.1
58	0.00	0.86	0.00	0.49	-13.05	259.19	24.86	237.64	0.4868	790.0	712.7
59	0.00	0.77	0.00	0.47	-22.93	260.69	26.36	224.17	0.5890	603.0	453.4
60	0.00	0.94	0.00	0.58	-22.99	260.53	26.19	223.92	0.5880	699.0	620.3
61	0.00	1.37	0.00	0.83	-22.43	260.02	25.68	224.12	0.5777	683.0	630.7
62	0.00	1.03	0.00	0.59	-16.45	258.79	24.45	231.46	0.5097	826.0	685.1
63	0.00	0.43	0.00	0.26	-21.21	259.29	24.96	224.96	0.5589	633.0	630.0
64	0.00	1.29	0.00	0.77	-22.31	258.86	24.53	223.03	0.5651	378.0	451.1
65	0.00	2.40	0.00	1.37	-17.42	257.13	22.79	228.00	0.4994	845.0	726.3
66	0.00	1.37	0.00	0.76	-11.66	256.45	22.11	237.30	0.4399	944.0	769.7
67	0.00	2.92	0.00	1.68	-18.43	257.16	22.83	226.49	0.5095	1043.0	778.3
68	0.00	1.20	0.00	0.69	-17.76	257.00	22.67	227.32	0.5013	856.0	683.6
69	0.00	1.20	0.00	0.68	-16.51	256.81	22.47	229.07	0.4871	814.0	674.1
70	0.00	1.29	0.00	0.73	-17.39	256.89	22.55	227.76	0.4964	813.0	629.6
71	0.00	4.46	0.00	2.48	-13.49	256.41	22.08	233.79	0.4549	-744.0	-680.0
72	0.00	1.11	0.00	0.65	-20.47	257.22	22.89	223.62	0.5304	778.0	592.8
73	0.00	1.37	0.00	0.78	-18.01	256.80	22.47	226.68	0.5015	788.0	662.9
74	0.77	2.32	0.44	1.31	-16.44	256.37	22.03	228.64	0.4813	1063.3	868.6
75	0.00	2.57	0.00	1.42	-13.55	255.89	21.56	233.05	0.4489	-946.0	-825.2
76	0.00	1.89	0.00	1.02	-9.76	255.49	21.16	240.10	0.4121	-729.0	-508.2
77	0.00	1.03	0.00	0.59	-18.06	256.03	21.70	225.65	0.4936	845.0	690.6
78	4.63	12.01	2.57	6.66	-14.44	255.49	21.15	230.94	0.4520	920.7	730.2
79	0.00	1.03	0.00	0.61	-22.36	256.53	22.20	220.23	0.5431	808.0	636.8
80	0.00	0.86	0.00	0.48	-16.82	254.98	20.65	226.22	0.4694	-731.0	-637.1
81	0.00	1.03	0.00	0.59	-20.41	255.24	20.90	221.21	0.5097	781.0	607.7
82	0.00	2.83	0.00	1.54	-12.38	253.88	19.54	232.64	0.4129	126.0	126.3
83	0.51	3.00	0.29	1.70	-19.08	254.49	20.15	222.08	0.4879	-934.2	-687.0
84	0.00	4.89	0.00	2.67	-13.48	253.64	19.31	230.18	0.4204	625.0	479.5
85	0.00	0.86	0.00	0.47	-13.79	253.44	19.11	229.32	0.4210	596.0	282.4
86	0.26	404.85	0.14	218.50	-12.92	253.12	18.78	230.49	0.4085	893.0	496.3
87	1.11	-86.00	0.60	-86.00	-13.05	253.09	18.76	230.22	0.4094	835.0	999999
88	0.60	2.06	0.33	1.13	-15.14	253.21	18.87	226.53	0.4321	805.1	642.8
89	0.00	1.20	0.00	0.69	-22.25	253.67	19.34	216.65	0.5154	623.0	535.2
90	65.52	-86.00	35.38	-86.00	-12.76	252.56	18.22	229.97	0.4000	1493.3	999999
91	0.00	1.97	0.00	1.04	-7.33	252.16	17.82	241.67	0.3464	-794.0	-672.5
92	0.00	3.52	0.00	1.93	-15.79	252.49	18.15	224.34	0.4308	717.0	644.1
93	0.00	1.37	0.00	0.73	-11.38	252.15	17.81	232.16	0.3813	84.0	145.4
94	0.00	2.74	0.00	1.45	-7.24	251.90	17.57	241.57	0.3420	-873.0	-743.5
95	0.00	5.06	0.00	2.66	-7.36	251.69	17.35	240.97	0.3398	-588.0	-723.1
96	0.00	1.63	0.00	0.86	-7.02	251.55	17.21	241.65	0.3352	-801.0	-656.5
97	0.00	1.03	0.00	0.54	-6.84	251.35	17.02	241.87	0.3310	-823.0	-686.7
98	0.00	0.86	0.00	0.46	-14.72	251.53	17.19	224.66	0.4084	-648.0	-488.8
99	0.00	1.37	0.00	0.72	-7.37	250.13	15.79	238.62	0.3176	-734.0	-603.6
100	0.00	2.83	0.00	1.49	-9.99	249.77	15.44	231.36	0.3371	-831.0	-665.3
101	0.00	1.72	0.00	0.91	-11.60	249.79	15.46	227.77	0.3541	871.0	689.8
102	0.00	0.77	0.00	0.41	-10.53	249.74	15.40	230.03	0.3422	-746.0	-569.1
103	0.00	1.11	0.00	0.59	-11.29	249.71	15.38	228.29	0.3499	878.0	687.8
104	0.00	1.37	0.00	0.71	-6.99	248.97	14.64	237.73	0.2980	-768.0	-619.8
105	6.00	8.83	3.18	4.67	-12.41	248.90	14.56	224.38	0.3526	-1002.7	-617.1
106	0.00	0.94	0.00	0.49	-7.38	248.43	14.09	235.64	0.2939	-752.0	-627.1
107	0.00	1.11	0.00	0.59	-12.33	247.27	12.94	221.20	0.3335	-908.0	-771.0
108	0.00	3.60	0.00	1.88	-12.26	245.69	11.35	217.71	0.3158	-413.0	-646.6
109	0.00	2.06	0.00	1.07	-11.70	244.46	10.13	215.72	0.2962	890.0	764.5
110	0.00	1.29	0.00	0.66	-11.45	243.69	9.35	214.10	0.2854	881.0	829.2
111	0.00	1.37	0.00	0.71	-13.13	243.75	9.41	211.13	0.3094	-773.0	-601.4
112	0.00	0.94	0.00	0.49	-12.21	243.65	9.32	212.52	0.2957	651.0	529.9
113	2.32	2057.20	1.21	1079.63	-14.67	243.65	9.32	208.41	0.3307	-921.9	-408.6
114	0.00	2.14	0.00	1.11	-11.56	243.35	9.02	212.91	0.2840	1022.0	837.7
115	10.63	-113.00	5.58	-113.00	-14.94	243.38	9.05	207.32	0.3326	-1207.5	999999
116	0.00	0.86	0.00	0.44	-12.30	243.25	8.92	211.24	0.2934	564.0	311.9
117	2.49	-113.00	1.32	-113.00	-16.47	243.33	8.99	205.13	0.3545	823.7	999999
118	3.00	-113.00	1.57	-113.00	-14.66	243.16	8.82	207.13	0.3268	-1018.9	999999
119	9.69	-113.00	5.09	-113.00	-15.13	242.93	8.59	205.88	0.3319	-1042.8	999999
120	0.69	-113.00	0.36	-113.00	-15.72	242.79	8.46	204.76	0.3397	-685.1	999999
121	0.00	1.29	0.00	0.66	-11.41	242.55	8.22	210.84	0.2746	902.0	790.7
122	8.66	-113.00	4.55	-113.00	-15.34	242.62	8.29	204.80	0.3329	-1116.5	999999
123	0.00	1.20	0.00	0.61	-7.47	242.37	8.04	219.61	0.2185	-771.0	-653.8
124	24.95	-113.00	13.04	-113.00	-14.57	242.53	8.20	205.61	0.3208	-1595.5	999999
125	13.12	-113.00	6.87	-113.00	-14.94	242.33	8.00	204.56	0.3249	-1468.8	999999
126	3.17	-113.00	1.64	-113.00	-12.99	242.20	7.87	207.02	0.2950	-1176.1	999999
127	0.00	1.20	0.00	0.61	-5.11	242.04	7.71	226.50	0.1850	-630.0	-474.9
128	1.37	-113.00	0.72	-113.00	-15.15	242.03	7.69	203.46	0.3261	-1258.1	999999
129	5.23	-113.00	2.74	-113.00	-14.93	241.99	7.66	203.63	0.3225	-1561.5	999999
130	1.80	-113.00	0.94	-113.00	-15.40	241.98	7.64	203.01	0.3295	-1036.6	999999
131	1.54	-113.00	0.81	-113.00	-15.93	241.96	7.63	202.34	0.3374	-1308.0	999999
132	47.68	-113.00	25.14	-113.00	-16.43	241.92	7.59	201.65	0.3447	-1558.9	999999
133	3.17	-113.00	1.65	-113.00	-14.25	241.81	7.48	204.04	0.3110	-945.8	999999
134	4.80	-113.00	2.51	-113.00	-15.15	241.72	7.38	202.62	0.3240	-1266.8	999999
135	3.77	-113.00	1.97	-113.00	-14.90	241.62	7.28	202.65	0.3196	-1433.0	999999
136	0.77	-113.00	0.40	-113.00	-15.52	241.33	6.99	201.11	0.3273	-1319.8	999999
137	61.57	-113.00	32.04	-113.00	-14.28	241.20	6.86	202.24	0.3074	-1376.7	999999
138	1.89	-113.00	0.99	-113.00	-15.61	240.87	6.53	199.73	0.3260	-1332.7	999999
139	112.94	-113.00	59.51	-113.00	-16.67	240.81	6.47	198.49	0.3422	-1735.2	999999
140	0.00	1.46	0.00	0.87	-30.82	241.48	7.14	191.09	0.5571	-634.0	-487.8
141	2.06	-113.00	1.08	-113.00	-15.58	240.62	6.28	199.07	0.3241	-1230.2	999999
142	3.60	-113.00	1.88	-113.00	-15.30	240.52	6.18	199.08	0.3192	-724.1	999999
143	1.97	-113.00	1.03	-113.00	-16.01	240.51	6.17	198.32	0.3303	-1381.2	999999
144	0.00	1.29	0.00	0.74	-27.04	240.82	6.49	191.65	0.5004	-391.0	-427.6
145	1.46	-113.00	0.76	-113.00	-15.92	240.32	5.99	197.89	0.3279	-1228.2	999999
146	6.26	-113.00	3.27	-113.00	-15.42	240.31	5.97	198.35	0.3200	-839.3	999999
147	0.00	1.89	0.00	1.08	-27.10	240.59	6.26	191.22	0.5007	-747.0	-591.3
148	26.76	-113.00	13.93	-113.00	-14.86	240.04	5.71	198.17	0.3098	1207.5	999999
149	2.83	-113.00	1.48	-113.00	-15.76	240.07	5.73	197.33	0.3242	-1121.5	999999
150	0.00	1.63	0.00	0.87	-19.67	239.97	5.63	193.95	0.3852	973.0	751.0
151	0.00	2.32	0.00	1.29	-24.48	240.09	5.76	191.51	0.4599	-715.0	-590.3
152	2.74	-113.00	1.44	-113.00	-16.76	239.75	5.42	195.57	0.3385	-1103.9	999999
153	0.00	1.03	0.00	0.53	-11.75	239.64	5.31	200.60	0.2585	794.0	508.0
154	0.00	1.11	0.00	0.60	-19.70	239.46	5.13	192.73	0.3837	950.0	653.2
155	0.00	1.03	0.00	0.57	-24.28	239.60	5.26	190.63	0.4553	-758.0	-586.8
156	0.00	1.80	0.00	0.93	-13.59	239.22	4.88	196.93	0.2855	-727.0	-488.0
157	0.00	4.12	0.00	2.13	-13.90	239.13	4.80	196.34	0.2900	398.0	460.6
158	0.00	1.37	0.00	0.73	-19.54	239.24	4.90	192.28	0.3804	1064.0	791.0
159	0.00	1.29	0.00	0.67	-14.21	238.71	4.38	194.69	0.2930	816.0	559.1
160	0.00	0.86	0.00	0.46	-19.57	238.67	4.34	190.89	0.3790	-552.0	-391.7
161	0.00	1.11	0.00	0.57	-10.11	238.38	4.04	198.05	0.2250	-761.0	-631.8
162	0.00	1.11	0.00	0.58	-16.07	238.22	3.89	191.75	0.3213	861.0	656.2
163	0.00	1.03	0.00	0.54	-15.97	237.88	3.55	190.80	0.3187	733.0	469.1
164	0.00	1.63	0.00	0.87	-19.21	237.75	3.42	188.77	0.3708	-985.0	-785.9
165	0.00	1.20	0.00	0.63	-17.85	237.07	2.74	187.56	0.3472	-894.0	-664.1
166	0.00	1.29	0.00	0.69	-20.84	237.06	2.72	186.47	0.3955	-897.0	-658.9
167	0.00	2.74	0.00	1.48	-20.78	236.83	2.50	185.96	0.3940	-741.0	-638.2
168	0.00	0.94	0.00	0.49	-16.56	236.78	2.44	187.24	0.3255	-662.0	-528.1
169	0.00	1.63	0.00	0.88	-20.55	236.73	2.40	185.79	0.3903	-950.0	-731.5
170	0.00	1.97	0.00	1.05	-19.81	236.63	2.30	185.74	0.3782	-942.0	-743.9
171	0.00	1.11	0.00	0.60	-20.33	236.60	2.27	185.54	0.3864	-906.0	-705.5
172	0.00	0.94	0.00	0.50	-19.08	236.37	2.03	185.28	0.3659	-727.0	-543.6
173	0.00	0.69	0.00	0.37	-20.62	236.29	1.96	184.72	0.3906	-733.0	-591.1
174	0.00	1.97	0.00	1.05	-19.88	236.16	1.82	184.55	0.3785	-1012.0	-859.4
175	0.00	0.43	0.00	0.23	-20.45	236.16	1.83	184.44	0.3879	-800.0	-616.4
176	0.00	0.60	0.00	0.32	-18.98	236.05	1.72	184.49	0.3639	-587.0	-498.3
177	0.00	0.94	0.00	0.50	-19.53	235.97	1.63	184.15	0.3726	-648.0	-584.5
178	0.00	1.37	0.00	0.74	-20.52	235.75	1.42	183.44	0.3884	-851.0	-740.8
179	0.00	1.89	0.00	1.02	-21.39	235.67	1.33	183.09	0.4023	-846.0	-683.5
180	0.00	2.49	0.00	1.30	-16.65	235.60	1.27	183.76	0.3251	-815.0	-776.7
181	0.00	3.09	0.00	1.67	-21.48	235.38	1.05	182.42	0.4037	-677.0	-593.2
182	0.00	1.37	0.00	0.69	-7.86	235.21	0.88	184.97	0.1761	-876.0	-660.5
183	0.00	2.92	0.00	1.46	-5.41	234.91	0.58	184.35	0.1332	-851.0	-795.4
184	0.00	1.63	0.00	0.81	-5.08	234.85	0.52	184.08	0.1275	-1154.0	-907.8
185	0.00	1.54	0.00	0.81	-17.56	234.61	0.28	180.79	0.3395	-724.0	-554.1
186	0.00	1.54	0.00	0.78	-8.77	234.58	0.25	181.30	0.1910	-973.0	-802.2
187	0.00	1.37	0.00	0.77	-25.53	233.96	-0.37	179.28	0.4671	-679.0	-578.6
188	0.00	1.63	0.00	0.82	-8.34	232.82	-1.52	171.86	0.1856	-823.0	-519.4
189	0.00	1.20	0.00	0.68	-27.42	232.35	-1.98	176.45	0.4971	-671.0	-471.5
190	0.00	0.51	0.00	0.29	-26.67	231.70	-2.63	175.14	0.4865	-809.0	-656.7
191	0.00	1.46	0.00	0.83	-26.61	231.44	-2.89	174.64	0.4858	-791.0	-680.6
192	0.00	2.40	0.00	1.36	-26.34	231.45	-2.89	174.60	0.4817	-973.0	-851.5
193	0.00	0.51	0.00	0.29	-26.44	231.18	-3.16	174.13	0.4836	-723.0	-649.3
194	0.00	1.11	0.00	0.62	-23.77	230.76	-3.57	172.58	0.4432	-709.0	-689.5
195	0.00	2.32	0.00	1.29	-25.10	229.74	-4.59	171.01	0.4660	-527.0	-385.3

	Proj. U	- Projected umbra area in millionths of solar disc, negative values indicate
	that the umbra consists of fragmented regions which cannot be separated without losing umbral area. In this way several spots (intensity minima in the umbra) have a common umbra, e.g. -2 means that the given spot shares an umbra with spot No.2, and the common U value is indicated at spot No.2.
	Proj. WS	- Projected whole spot area in millionths of solar disc, negative values indicate
	that several umbras have a common penumbra, e.g. -7 means that the given umbra shares a penumbra with umbra No.7, and the WS value is indicated at No.7.
	Corr. U	- Corrected umbra area in millionths of solar hemisphere, for negative values see above
	Corr. WS	- Corrected whole spot area in millionths of solar hemisphere, for negative values see above
	B	- Heliographic latitude B; positive: North, negative: South
	L	- Heliographic longitude L
	LCM	- Longitudinal distance from the Sun's central meridian
	Pos. angle	- Position angle
	r	- Distance from the centre of Sun's disc in terms of Sun's radius
	MU	- Mean magnetic field within the umbra contour averaged the pixel values with sign.
	MP	- Mean magnetic field within the penumbra contour averaged the pixel values with sign.