
1951 MAY. 6, 7, 8 (SUN, MON, TUE)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
6 0 | 223 02.6 | 139 29.2 N25 25.2 | 176 43.5 N17 27.8 | 219 43.9 N 0 13.8 | 45 44.3 N 3 52.2
1 | 238 05.1 | 154 28.5 N25 25.4 | 191 44.2 N17 28.3 | 234 45.8 N 0 14.0 | 60 46.9 N 3 52.2
2 | 253 07.5 | 169 27.8 N25 25.6 | 206 44.8 N17 28.9 | 249 47.8 N 0 14.2 | 75 49.4 N 3 52.2
3 | 268 10.0 | 184 27.1 N25 25.8 | 221 45.5 N17 29.4 | 264 49.8 N 0 14.4 | 90 52.0 N 3 52.3
4 | 283 12.5 | 199 26.4 N25 26.0 | 236 46.1 N17 29.9 | 279 51.8 N 0 14.6 | 105 54.5 N 3 52.3
S 5 | 298 14.9 | 214 25.6 N25 26.2 | 251 46.8 N17 30.4 | 294 53.8 N 0 14.8 | 120 57.1 N 3 52.3
U
N 6 | 313 17.4 | 229 24.9 N25 26.4 | 266 47.4 N17 30.9 | 309 55.7 N 0 15.0 | 135 59.6 N 3 52.4
D 7 | 328 19.9 | 244 24.2 N25 26.6 | 281 48.1 N17 31.5 | 324 57.7 N 0 15.2 | 151 02.2 N 3 52.4
A 8 | 343 22.3 | 259 23.5 N25 26.8 | 296 48.7 N17 32.0 | 339 59.7 N 0 15.4 | 166 04.7 N 3 52.4
Y 9 | 358 24.8 | 274 22.8 N25 27.0 | 311 49.4 N17 32.5 | 355 01.7 N 0 15.6 | 181 07.3 N 3 52.5
10 | 13 27.3 | 289 22.0 N25 27.2 | 326 50.0 N17 33.0 | 10 03.7 N 0 15.8 | 196 09.8 N 3 52.5
11 | 28 29.7 | 304 21.3 N25 27.4 | 341 50.7 N17 33.5 | 25 05.6 N 0 16.0 | 211 12.4 N 3 52.5
12 | 43 32.2 | 319 20.6 N25 27.6 | 356 51.3 N17 34.1 | 40 07.6 N 0 16.2 | 226 14.9 N 3 52.5
13 | 58 34.6 | 334 19.9 N25 27.8 | 11 52.0 N17 34.6 | 55 09.6 N 0 16.4 | 241 17.5 N 3 52.6
14 | 73 37.1 | 349 19.2 N25 28.0 | 26 52.6 N17 35.1 | 70 11.6 N 0 16.6 | 256 20.1 N 3 52.6
15 | 88 39.6 | 4 18.5 N25 28.2 | 41 53.3 N17 35.6 | 85 13.6 N 0 16.8 | 271 22.6 N 3 52.6
16 | 103 42.0 | 19 17.7 N25 28.4 | 56 53.9 N17 36.1 | 100 15.6 N 0 17.0 | 286 25.2 N 3 52.7
17 | 118 44.5 | 34 17.0 N25 28.6 | 71 54.6 N17 36.7 | 115 17.5 N 0 17.2 | 301 27.7 N 3 52.7
18 | 133 47.0 | 49 16.3 N25 28.8 | 86 55.2 N17 37.2 | 130 19.5 N 0 17.5 | 316 30.3 N 3 52.7
19 | 148 49.4 | 64 15.6 N25 29.0 | 101 55.9 N17 37.7 | 145 21.5 N 0 17.7 | 331 32.8 N 3 52.8
20 | 163 51.9 | 79 14.9 N25 29.2 | 116 56.5 N17 38.2 | 160 23.5 N 0 17.9 | 346 35.4 N 3 52.8
21 | 178 54.4 | 94 14.2 N25 29.4 | 131 57.2 N17 38.7 | 175 25.5 N 0 18.1 | 1 37.9 N 3 52.8
22 | 193 56.8 | 109 13.4 N25 29.6 | 146 57.8 N17 39.2 | 190 27.4 N 0 18.3 | 16 40.5 N 3 52.9
23 | 208 59.3 | 124 12.7 N25 29.7 | 161 58.5 N17 39.8 | 205 29.4 N 0 18.5 | 31 43.0 N 3 52.9
------+----------+-------------------+-------------------+-------------------+--------------------
7 0 | 224 01.8 | 139 12.0 N25 29.9 | 176 59.1 N17 40.3 | 220 31.4 N 0 18.7 | 46 45.6 N 3 52.9
1 | 239 04.2 | 154 11.3 N25 30.1 | 191 59.7 N17 40.8 | 235 33.4 N 0 18.9 | 61 48.1 N 3 52.9
2 | 254 06.7 | 169 10.6 N25 30.3 | 207 00.4 N17 41.3 | 250 35.4 N 0 19.1 | 76 50.7 N 3 53.0
3 | 269 09.1 | 184 09.8 N25 30.5 | 222 01.0 N17 41.8 | 265 37.4 N 0 19.3 | 91 53.2 N 3 53.0
4 | 284 11.6 | 199 09.1 N25 30.7 | 237 01.7 N17 42.3 | 280 39.3 N 0 19.5 | 106 55.8 N 3 53.0
M 5 | 299 14.1 | 214 08.4 N25 30.8 | 252 02.3 N17 42.8 | 295 41.3 N 0 19.7 | 121 58.3 N 3 53.1
O
N 6 | 314 16.5 | 229 07.7 N25 31.0 | 267 03.0 N17 43.4 | 310 43.3 N 0 19.9 | 137 00.9 N 3 53.1
D 7 | 329 19.0 | 244 07.0 N25 31.2 | 282 03.6 N17 43.9 | 325 45.3 N 0 20.1 | 152 03.4 N 3 53.1
A 8 | 344 21.5 | 259 06.3 N25 31.4 | 297 04.3 N17 44.4 | 340 47.3 N 0 20.3 | 167 06.0 N 3 53.1
Y 9 | 359 23.9 | 274 05.5 N25 31.5 | 312 04.9 N17 44.9 | 355 49.3 N 0 20.5 | 182 08.5 N 3 53.2
10 | 14 26.4 | 289 04.8 N25 31.7 | 327 05.6 N17 45.4 | 10 51.2 N 0 20.7 | 197 11.1 N 3 53.2
11 | 29 28.9 | 304 04.1 N25 31.9 | 342 06.2 N17 45.9 | 25 53.2 N 0 20.9 | 212 13.6 N 3 53.2
12 | 44 31.3 | 319 03.4 N25 32.1 | 357 06.9 N17 46.4 | 40 55.2 N 0 21.1 | 227 16.2 N 3 53.3
13 | 59 33.8 | 334 02.7 N25 32.2 | 12 07.5 N17 46.9 | 55 57.2 N 0 21.3 | 242 18.7 N 3 53.3
14 | 74 36.2 | 349 02.0 N25 32.4 | 27 08.2 N17 47.5 | 70 59.2 N 0 21.5 | 257 21.3 N 3 53.3
15 | 89 38.7 | 4 01.2 N25 32.6 | 42 08.8 N17 48.0 | 86 01.2 N 0 21.7 | 272 23.8 N 3 53.4
16 | 104 41.2 | 19 00.5 N25 32.7 | 57 09.4 N17 48.5 | 101 03.1 N 0 21.9 | 287 26.4 N 3 53.4
17 | 119 43.6 | 33 59.8 N25 32.9 | 72 10.1 N17 49.0 | 116 05.1 N 0 22.1 | 302 28.9 N 3 53.4
18 | 134 46.1 | 48 59.1 N25 33.1 | 87 10.7 N17 49.5 | 131 07.1 N 0 22.3 | 317 31.5 N 3 53.4
19 | 149 48.6 | 63 58.4 N25 33.2 | 102 11.4 N17 50.0 | 146 09.1 N 0 22.5 | 332 34.0 N 3 53.5
20 | 164 51.0 | 78 57.7 N25 33.4 | 117 12.0 N17 50.5 | 161 11.1 N 0 22.7 | 347 36.6 N 3 53.5
21 | 179 53.5 | 93 57.0 N25 33.5 | 132 12.7 N17 51.0 | 176 13.1 N 0 22.9 | 2 39.1 N 3 53.5
22 | 194 56.0 | 108 56.2 N25 33.7 | 147 13.3 N17 51.5 | 191 15.1 N 0 23.1 | 17 41.7 N 3 53.6
23 | 209 58.4 | 123 55.5 N25 33.9 | 162 14.0 N17 52.0 | 206 17.0 N 0 23.3 | 32 44.2 N 3 53.6
------+----------+-------------------+-------------------+-------------------+--------------------
8 0 | 225 00.9 | 138 54.8 N25 34.0 | 177 14.6 N17 52.5 | 221 19.0 N 0 23.5 | 47 46.8 N 3 53.6
1 | 240 03.4 | 153 54.1 N25 34.2 | 192 15.3 N17 53.1 | 236 21.0 N 0 23.7 | 62 49.3 N 3 53.6
2 | 255 05.8 | 168 53.4 N25 34.3 | 207 15.9 N17 53.6 | 251 23.0 N 0 23.9 | 77 51.9 N 3 53.7
3 | 270 08.3 | 183 52.7 N25 34.5 | 222 16.5 N17 54.1 | 266 25.0 N 0 24.1 | 92 54.4 N 3 53.7
4 | 285 10.7 | 198 51.9 N25 34.6 | 237 17.2 N17 54.6 | 281 27.0 N 0 24.3 | 107 56.9 N 3 53.7
T 5 | 300 13.2 | 213 51.2 N25 34.8 | 252 17.8 N17 55.1 | 296 29.0 N 0 24.5 | 122 59.5 N 3 53.7
U
E 6 | 315 15.7 | 228 50.5 N25 34.9 | 267 18.5 N17 55.6 | 311 30.9 N 0 24.7 | 138 02.0 N 3 53.8
S 7 | 330 18.1 | 243 49.8 N25 35.1 | 282 19.1 N17 56.1 | 326 32.9 N 0 24.9 | 153 04.6 N 3 53.8
D 8 | 345 20.6 | 258 49.1 N25 35.2 | 297 19.8 N17 56.6 | 341 34.9 N 0 25.1 | 168 07.1 N 3 53.8
A 9 | 0 23.1 | 273 48.4 N25 35.4 | 312 20.4 N17 57.1 | 356 36.9 N 0 25.3 | 183 09.7 N 3 53.9
Y 10 | 15 25.5 | 288 47.7 N25 35.5 | 327 21.1 N17 57.6 | 11 38.9 N 0 25.5 | 198 12.2 N 3 53.9
11 | 30 28.0 | 303 46.9 N25 35.7 | 342 21.7 N17 58.1 | 26 40.9 N 0 25.7 | 213 14.8 N 3 53.9
12 | 45 30.5 | 318 46.2 N25 35.8 | 357 22.3 N17 58.6 | 41 42.9 N 0 25.9 | 228 17.3 N 3 53.9
13 | 60 32.9 | 333 45.5 N25 36.0 | 12 23.0 N17 59.1 | 56 44.8 N 0 26.1 | 243 19.9 N 3 54.0
14 | 75 35.4 | 348 44.8 N25 36.1 | 27 23.6 N17 59.6 | 71 46.8 N 0 26.3 | 258 22.4 N 3 54.0
15 | 90 37.9 | 3 44.1 N25 36.2 | 42 24.3 N18 00.1 | 86 48.8 N 0 26.5 | 273 25.0 N 3 54.0
16 | 105 40.3 | 18 43.4 N25 36.4 | 57 24.9 N18 00.6 | 101 50.8 N 0 26.7 | 288 27.5 N 3 54.0
17 | 120 42.8 | 33 42.7 N25 36.5 | 72 25.6 N18 01.1 | 116 52.8 N 0 26.9 | 303 30.0 N 3 54.1
18 | 135 45.2 | 48 42.0 N25 36.6 | 87 26.2 N18 01.6 | 131 54.8 N 0 27.1 | 318 32.6 N 3 54.1
19 | 150 47.7 | 63 41.2 N25 36.8 | 102 26.9 N18 02.1 | 146 56.8 N 0 27.3 | 333 35.1 N 3 54.1
20 | 165 50.2 | 78 40.5 N25 36.9 | 117 27.5 N18 02.6 | 161 58.8 N 0 27.5 | 348 37.7 N 3 54.2
21 | 180 52.6 | 93 39.8 N25 37.0 | 132 28.1 N18 03.1 | 177 00.7 N 0 27.7 | 3 40.2 N 3 54.2
22 | 195 55.1 | 108 39.1 N25 37.2 | 147 28.8 N18 03.6 | 192 02.7 N 0 27.9 | 18 42.8 N 3 54.2
23 | 210 57.6 | 123 38.4 N25 37.3 | 162 29.4 N18 04.1 | 207 04.7 N 0 28.1 | 33 45.3 N 3 54.2
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.7 d 0.2 | v 0.6 d 0.5 | v 2.0 d 0.2 | v 2.5 d 0.0
1951 MAY. 6, 7, 8 (SUN, MON, TUE)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
6 0 | 180 50.2 N16 14.7 | 182 55.1 13.1 N20 03.2 10.7 54.7 | Acamar 315 54.0 S40 29.8
1 | 195 50.3 N16 15.4 | 197 27.2 13.1 N20 13.9 10.6 54.7 | Achernar 336 01.7 S57 28.9
2 | 210 50.4 N16 16.1 | 211 59.2 13.0 N20 24.4 10.6 54.7 | Acrux 174 01.7 S62 50.0
3 | 225 50.4 N16 16.9 | 226 31.2 13.0 N20 34.9 10.5 54.7 | Adhara 255 49.5 S28 54.3
4 | 240 50.5 N16 17.6 | 241 03.2 12.9 N20 45.3 10.4 54.7 | Albireo 67 48.5 N27 51.0
S 5 | 255 50.5 N16 18.3 | 255 35.0 12.9 N20 55.5 10.3 54.7 |
U | | | Aldebaran 291 43.4 N16 24.9
N 6 | 270 50.6 N16 19.0 | 270 06.9 12.8 N21 05.7 10.2 54.6 | Alioth 167 00.8 N56 13.5
D 7 | 285 50.6 N16 19.7 | 284 38.6 12.8 N21 15.8 10.1 54.6 | Alkaid 153 34.9 N49 33.3
A 8 | 300 50.7 N16 20.4 | 299 10.3 12.7 N21 25.8 10.0 54.6 | Al Na-ir 28 42.2 S47 11.8
Y 9 | 315 50.7 N16 21.1 | 313 42.0 12.7 N21 35.6 9.9 54.6 | Alnilam 276 34.0 S 1 13.8
10 | 330 50.8 N16 21.8 | 328 13.6 12.6 N21 45.4 9.8 54.6 |
11 | 345 50.8 N16 22.5 | 342 45.1 12.5 N21 55.1 9.7 54.6 | Alphard 218 42.0 S 8 26.8
| | | Alphecca 126 50.2 N26 52.4
12 | 0 50.9 N16 23.3 | 357 16.6 12.5 N22 04.7 9.6 54.6 | Alpheratz 358 32.3 N28 49.2
13 | 15 50.9 N16 24.0 | 11 48.1 12.4 N22 14.2 9.5 54.6 | Altair 62 53.7 N 8 44.0
14 | 30 51.0 N16 24.7 | 26 19.5 12.4 N22 23.5 9.4 54.5 | Ankaa 354 01.8 S42 34.1
15 | 45 51.0 N16 25.4 | 40 50.8 12.3 N22 32.8 9.3 54.5 |
16 | 60 51.1 N16 26.1 | 55 22.1 12.3 N22 42.0 9.2 54.5 | Antares 113 23.4 S26 19.8
17 | 75 51.1 N16 26.8 | 69 53.3 12.2 N22 51.0 9.1 54.5 | Arcturus 146 38.0 N19 25.9
| | | Atria 109 07.0 S68 56.7
18 | 90 51.2 N16 27.5 | 84 24.5 12.2 N22 60.0 9.0 54.5 | Avior 234 37.5 S59 21.3
19 | 105 51.2 N16 28.2 | 98 55.6 12.1 N23 08.8 8.8 54.5 | Bellatrix 279 22.4 N 6 18.6
20 | 120 51.3 N16 28.9 | 113 26.6 12.1 N23 17.6 8.7 54.5 |
21 | 135 51.3 N16 29.6 | 127 57.6 12.0 N23 26.2 8.6 54.5 | Betelgeuse 271 52.2 N 7 24.1
22 | 150 51.4 N16 30.3 | 142 28.6 12.0 N23 34.7 8.5 54.4 | Canopus 264 17.3 S52 40.2
23 | 165 51.4 N16 31.0 | 156 59.5 11.9 N23 43.1 8.4 54.4 | Capella 281 44.0 N45 57.3
------+-------------------+----------------------------------| Castor 247 07.6 N32 00.1
7 0 | 180 51.5 N16 31.7 | 171 30.3 11.8 N23 51.4 8.3 54.4 | Deneb 50 03.4 N45 05.9
1 | 195 51.5 N16 32.4 | 186 01.1 11.8 N23 59.6 8.2 54.4 |
2 | 210 51.6 N16 33.1 | 200 31.9 11.7 N24 07.7 8.1 54.4 | Denebola 183 21.0 N14 50.6
3 | 225 51.6 N16 33.8 | 215 02.5 11.7 N24 15.6 8.0 54.4 | Diphda 349 43.0 S18 15.2
4 | 240 51.6 N16 34.5 | 229 33.2 11.6 N24 23.5 7.8 54.4 | Dubhe 194 48.1 N62 01.1
M 5 | 255 51.7 N16 35.2 | 244 03.8 11.6 N24 31.2 7.7 54.4 | Elnath 279 12.1 N28 34.3
O | | | Eltanin 91 07.5 N51 29.2
N 6 | 270 51.7 N16 35.9 | 258 34.3 11.5 N24 38.8 7.6 54.4 |
D 7 | 285 51.8 N16 36.6 | 273 04.8 11.5 N24 46.3 7.5 54.3 | Enif 34 33.0 N 9 38.8
A 8 | 300 51.8 N16 37.3 | 287 35.2 11.4 N24 53.7 7.4 54.3 | Fomalhaut 16 15.5 S29 52.8
Y 9 | 315 51.9 N16 38.0 | 302 05.6 11.4 N25 01.0 7.3 54.3 | Gacrux 172 53.0 S56 50.7
10 | 330 51.9 N16 38.7 | 316 35.9 11.3 N25 08.1 7.1 54.3 | Gienah 176 40.3 S17 16.5
11 | 345 52.0 N16 39.4 | 331 06.2 11.3 N25 15.1 7.0 54.3 | Hadar 149 54.2 S60 08.6
| | |
12 | 0 52.0 N16 40.1 | 345 36.4 11.2 N25 22.0 6.9 54.3 | Hamal 328 54.0 N23 14.0
13 | 15 52.1 N16 40.8 | 0 06.6 11.2 N25 28.8 6.8 54.3 | Kaus Austr. 84 45.6 S34 24.8
14 | 30 52.1 N16 41.5 | 14 36.7 11.1 N25 35.5 6.7 54.3 | Kochab 137 16.3 N74 21.2
15 | 45 52.1 N16 42.2 | 29 06.8 11.1 N25 42.0 6.5 54.3 | Markab 14 25.1 N14 56.4
16 | 60 52.2 N16 42.9 | 43 36.9 11.0 N25 48.5 6.4 54.3 | Menkar 315 04.3 N 3 54.1
17 | 75 52.2 N16 43.6 | 58 06.8 11.0 N25 54.8 6.3 54.3 |
| | | Menkent 149 02.6 S36 08.2
18 | 90 52.3 N16 44.3 | 72 36.8 11.0 N26 00.9 6.2 54.2 | Miaplacidus 221 50.1 S69 31.2
19 | 105 52.3 N16 45.0 | 87 06.7 10.9 N26 07.0 6.1 54.2 | Mirfak 309 48.1 N49 41.5
20 | 120 52.4 N16 45.7 | 101 36.6 10.9 N26 12.9 5.9 54.2 | Nunki 76 56.0 S26 21.7
21 | 135 52.4 N16 46.4 | 116 06.4 10.8 N26 18.7 5.8 54.2 | Peacock 54 32.4 S56 53.5
22 | 150 52.4 N16 47.1 | 130 36.2 10.8 N26 24.4 5.7 54.2 |
23 | 165 52.5 N16 47.8 | 145 05.9 10.7 N26 30.0 5.6 54.2 | Polaris 335 29.1 N89 01.5
------+-------------------+----------------------------------| Pollux 244 24.9 N28 09.0
8 0 | 180 52.5 N16 48.4 | 159 35.6 10.7 N26 35.4 5.4 54.2 | Procyon 245 48.7 N 5 21.2
1 | 195 52.6 N16 49.1 | 174 05.2 10.7 N26 40.7 5.3 54.2 | Rasalhague 96 49.6 N12 35.3
2 | 210 52.6 N16 49.8 | 188 34.9 10.6 N26 45.8 5.2 54.2 | Regulus 208 33.1 N12 12.4
3 | 225 52.7 N16 50.5 | 203 04.4 10.6 N26 50.9 5.0 54.2 |
4 | 240 52.7 N16 51.2 | 217 34.0 10.5 N26 55.8 4.9 54.2 | Rigel 281 57.3 S 8 15.3
T 5 | 255 52.7 N16 51.9 | 232 03.5 10.5 N27 00.6 4.8 54.2 | Rigil Kent 140 55.5 S60 38.4
U | | | Sabik 103 05.9 S15 40.3
E 6 | 270 52.8 N16 52.6 | 246 33.0 10.5 N27 05.2 4.7 54.1 | Schedar 350 34.7 N56 16.1
S 7 | 285 52.8 N16 53.3 | 261 02.4 10.4 N27 09.7 4.5 54.1 | Shaula 97 25.1 S37 04.4
D 8 | 300 52.9 N16 54.0 | 275 31.8 10.4 N27 14.1 4.4 54.1 |
A 9 | 315 52.9 N16 54.6 | 290 01.2 10.4 N27 18.4 4.3 54.1 | Sirius 259 15.1 S16 38.9
Y 10 | 330 52.9 N16 55.3 | 304 30.5 10.3 N27 22.5 4.1 54.1 | Spica 159 20.3 S10 54.7
11 | 345 53.0 N16 56.0 | 318 59.8 10.3 N27 26.5 4.0 54.1 | Suhail 223 27.0 S43 14.3
| | | Vega 81 10.4 N38 43.8
12 | 0 53.0 N16 56.7 | 333 29.1 10.3 N27 30.4 3.9 54.1 | Zuben-ubi 137 56.0 S15 50.7
13 | 15 53.1 N16 57.4 | 347 58.3 10.2 N27 34.1 3.7 54.1 |
14 | 30 53.1 N16 58.1 | 2 27.5 10.2 N27 37.7 3.6 54.1 |
15 | 45 53.1 N16 58.8 | 16 56.7 10.2 N27 41.2 3.5 54.1 |
16 | 60 53.2 N16 59.4 | 31 25.9 10.2 N27 44.5 3.3 54.1 |
17 | 75 53.2 N17 00.1 | 45 55.0 10.1 N27 47.7 3.2 54.1 |
| | |
18 | 90 53.2 N17 00.8 | 60 24.1 10.1 N27 50.8 3.1 54.1 |
19 | 105 53.3 N17 01.5 | 74 53.2 10.1 N27 53.7 2.9 54.1 |
20 | 120 53.3 N17 02.2 | 89 22.3 10.1 N27 56.5 2.8 54.1 |
21 | 135 53.4 N17 02.8 | 103 51.3 10.1 N27 59.1 2.7 54.1 |
22 | 150 53.4 N17 03.5 | 118 20.4 10.0 N28 01.7 2.5 54.1 |
23 | 165 53.4 N17 04.2 | 132 49.4 10.0 N28 04.0 2.4 54.1 |
------+-------------------+----------------------------------|
|S.D. 15.8 d 0.7 | S.D. 14.9 14.8 14.7 |
Next 3 days
Pages served: 4