Path of the Annular Solar Eclipse of 2972 Oct 28
Fred Espenak
Introduction
The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 2972 Oct 28 . The geographic coordinates (WGS 84) of the northern and southern limits and the central line are listed at 120-second intervals. This provides adequate detail for making plots of the path on larger scale maps. Local circumstances on the central line include the ratio of the apparent diameters of the Moon to the Sun, the Sun's altitude and azimuth (degrees), the path width (kilometers) and the duration on the central line (minutes and seconds). See the Explanation of the Central Eclipse Path Table for a description of each column in the table.
The geographic visibility of the eclipse is shown on a global map on the Prime Page for the Eclipse which also includes complete details on the eclipse. The path of the eclipse is displayed in greater detail on an interactive Google Map .
| Annular Solar Eclipse of 2972 Oct 28 | |||||||||||
| UT1 | Northern Limit | Southern Limit | Central Line | M:S | Sun | Sun | Path | Central | |||
| Latitude | Longitude | Latitude | Longitude | Latitude | Longitude | Ratio | Alt. | Azm. | Width | Duration | |
| Limits | 05°27.4'S | 029°15.9'E | 08°23.3'S | 027°37.0'E | 06°54.6'S | 028°27.3'E | 0.925 | 0° | - | 357 km | 04m54.2s |
| 03:44 | 08°40.8'S | 039°31.3'E | - | - | 08°28.3'S | 034°07.9'E | 0.926 | 6° | 103° | 356 km | 05m00.3s |
| 03:46 | 09°57.1'S | 042°33.1'E | 09°58.2'S | 033°28.2'E | 10°08.1'S | 038°52.2'E | 0.928 | 11° | 102° | 355 km | 05m06.2s |
| 03:48 | 11°02.6'S | 044°51.9'E | 11°33.9'S | 038°04.1'E | 11°21.9'S | 041°49.2'E | 0.929 | 15° | 101° | 354 km | 05m10.2s |
| 03:50 | 12°01.8'S | 046°46.6'E | 12°45.8'S | 040°58.6'E | 12°25.6'S | 044°05.5'E | 0.929 | 18° | 100° | 352 km | 05m13.6s |
| 03:52 | 12°56.9'S | 048°25.5'E | 13°48.3'S | 043°13.7'E | 13°23.6'S | 045°58.7'E | 0.930 | 20° | 99° | 351 km | 05m16.5s |
| 03:54 | 13°49.0'S | 049°52.9'E | 14°45.2'S | 045°06.2'E | 14°17.7'S | 047°36.5'E | 0.930 | 22° | 99° | 349 km | 05m19.1s |
| 03:56 | 14°38.7'S | 051°11.7'E | 15°38.5'S | 046°43.5'E | 15°09.0'S | 049°03.3'E | 0.931 | 24° | 98° | 348 km | 05m21.6s |
| 03:58 | 15°26.6'S | 052°23.6'E | 16°29.0'S | 048°09.8'E | 15°58.0'S | 050°21.5'E | 0.931 | 26° | 97° | 346 km | 05m23.8s |
| 04:00 | 16°12.9'S | 053°29.9'E | 17°17.5'S | 049°27.8'E | 16°45.2'S | 051°33.0'E | 0.932 | 28° | 96° | 344 km | 05m26.0s |
| 04:02 | 16°57.9'S | 054°31.5'E | 18°04.2'S | 050°39.1'E | 17°31.0'S | 052°39.0'E | 0.932 | 30° | 96° | 342 km | 05m28.0s |
| 04:04 | 17°41.7'S | 055°29.2'E | 18°49.5'S | 051°45.0'E | 18°15.5'S | 053°40.4'E | 0.932 | 31° | 95° | 340 km | 05m29.9s |
| 04:06 | 18°24.6'S | 056°23.6'E | 19°33.6'S | 052°46.3'E | 18°58.9'S | 054°37.9'E | 0.933 | 33° | 94° | 338 km | 05m31.7s |
| 04:08 | 19°06.6'S | 057°15.0'E | 20°16.7'S | 053°43.8'E | 19°41.4'S | 055°32.1'E | 0.933 | 34° | 93° | 336 km | 05m33.5s |
| 04:10 | 19°47.8'S | 058°03.8'E | 20°58.9'S | 054°38.0'E | 20°23.1'S | 056°23.4'E | 0.933 | 35° | 92° | 334 km | 05m35.2s |
| 04:12 | 20°28.3'S | 058°50.5'E | 21°40.3'S | 055°29.3'E | 21°04.1'S | 057°12.3'E | 0.933 | 36° | 91° | 332 km | 05m36.9s |
| 04:14 | 21°08.2'S | 059°35.1'E | 22°21.0'S | 056°18.2'E | 21°44.3'S | 057°58.9'E | 0.934 | 38° | 90° | 330 km | 05m38.5s |
| 04:16 | 21°47.5'S | 060°18.0'E | 23°01.1'S | 057°04.9'E | 22°24.0'S | 058°43.6'E | 0.934 | 39° | 89° | 327 km | 05m40.0s |
| 04:18 | 22°26.3'S | 060°59.3'E | 23°40.6'S | 057°49.7'E | 23°03.2'S | 059°26.5'E | 0.934 | 40° | 88° | 325 km | 05m41.5s |
| 04:20 | 23°04.7'S | 061°39.2'E | 24°19.7'S | 058°32.7'E | 23°41.9'S | 060°07.9'E | 0.934 | 41° | 87° | 323 km | 05m42.9s |
| 04:22 | 23°42.5'S | 062°17.9'E | 24°58.2'S | 059°14.3'E | 24°20.1'S | 060°47.9'E | 0.934 | 42° | 86° | 321 km | 05m44.3s |
| 04:24 | 24°20.0'S | 062°55.4'E | 25°36.4'S | 059°54.5'E | 24°57.9'S | 061°26.7'E | 0.935 | 43° | 85° | 319 km | 05m45.7s |
| 04:26 | 24°57.1'S | 063°32.0'E | 26°14.1'S | 060°33.4'E | 25°35.3'S | 062°04.4'E | 0.935 | 44° | 84° | 317 km | 05m47.0s |
| 04:28 | 25°33.8'S | 064°07.6'E | 26°51.5'S | 061°11.3'E | 26°12.3'S | 062°41.1'E | 0.935 | 45° | 83° | 315 km | 05m48.3s |
| 04:30 | 26°10.2'S | 064°42.5'E | 27°28.6'S | 061°48.2'E | 26°49.1'S | 063°16.9'E | 0.935 | 46° | 81° | 312 km | 05m49.5s |
| 04:32 | 26°46.3'S | 065°16.6'E | 28°05.4'S | 062°24.3'E | 27°25.5'S | 063°52.0'E | 0.935 | 47° | 80° | 310 km | 05m50.7s |
| 04:34 | 27°22.1'S | 065°50.0'E | 28°41.9'S | 062°59.5'E | 28°01.6'S | 064°26.3'E | 0.935 | 47° | 79° | 308 km | 05m51.9s |
| 04:36 | 27°57.7'S | 066°23.0'E | 29°18.1'S | 063°34.1'E | 28°37.5'S | 065°00.0'E | 0.936 | 48° | 77° | 306 km | 05m53.0s |
| 04:38 | 28°33.0'S | 066°55.4'E | 29°54.1'S | 064°08.1'E | 29°13.1'S | 065°33.2'E | 0.936 | 49° | 76° | 304 km | 05m54.1s |
| 04:40 | 29°08.0'S | 067°27.3'E | 30°29.8'S | 064°41.6'E | 29°48.5'S | 066°05.9'E | 0.936 | 50° | 75° | 303 km | 05m55.2s |
| 04:42 | 29°42.8'S | 067°59.0'E | 31°05.4'S | 065°14.6'E | 30°23.7'S | 066°38.2'E | 0.936 | 50° | 73° | 301 km | 05m56.2s |
| 04:44 | 30°17.4'S | 068°30.2'E | 31°40.7'S | 065°47.2'E | 30°58.7'S | 067°10.1'E | 0.936 | 51° | 72° | 299 km | 05m57.2s |
| 04:46 | 30°51.8'S | 069°01.3'E | 32°15.8'S | 066°19.5'E | 31°33.4'S | 067°41.7'E | 0.936 | 52° | 70° | 297 km | 05m58.2s |
| 04:48 | 31°26.0'S | 069°32.1'E | 32°50.8'S | 066°51.5'E | 32°08.0'S | 068°13.1'E | 0.936 | 52° | 68° | 295 km | 05m59.1s |
| 04:50 | 32°00.0'S | 070°02.7'E | 33°25.6'S | 067°23.3'E | 32°42.4'S | 068°44.4'E | 0.936 | 53° | 67° | 294 km | 06m00.0s |
| 04:52 | 32°33.8'S | 070°33.3'E | 34°00.3'S | 067°55.0'E | 33°16.6'S | 069°15.4'E | 0.936 | 53° | 65° | 292 km | 06m00.9s |
| 04:54 | 33°07.4'S | 071°03.8'E | 34°34.8'S | 068°26.5'E | 33°50.7'S | 069°46.4'E | 0.936 | 54° | 63° | 291 km | 06m01.7s |
| 04:56 | 33°40.9'S | 071°34.2'E | 35°09.2'S | 068°58.0'E | 34°24.6'S | 070°17.4'E | 0.936 | 54° | 61° | 289 km | 06m02.5s |
| 04:58 | 34°14.2'S | 072°04.7'E | 35°43.4'S | 069°29.5'E | 34°58.4'S | 070°48.4'E | 0.937 | 55° | 60° | 288 km | 06m03.3s |
| 05:00 | 34°47.4'S | 072°35.2'E | 36°17.5'S | 070°01.0'E | 35°32.1'S | 071°19.4'E | 0.937 | 55° | 58° | 286 km | 06m04.1s |
| 05:02 | 35°20.4'S | 073°05.9'E | 36°51.5'S | 070°32.6'E | 36°05.6'S | 071°50.5'E | 0.937 | 56° | 56° | 285 km | 06m04.8s |
| 05:04 | 35°53.3'S | 073°36.7'E | 37°25.4'S | 071°04.3'E | 36°39.0'S | 072°21.8'E | 0.937 | 56° | 54° | 284 km | 06m05.4s |
| 05:06 | 36°26.1'S | 074°07.7'E | 37°59.2'S | 071°36.2'E | 37°12.2'S | 072°53.2'E | 0.937 | 56° | 52° | 282 km | 06m06.1s |
| 05:08 | 36°58.7'S | 074°38.9'E | 38°32.9'S | 072°08.4'E | 37°45.4'S | 073°24.9'E | 0.937 | 57° | 50° | 281 km | 06m06.7s |
| 05:10 | 37°31.2'S | 075°10.4'E | 39°06.5'S | 072°40.8'E | 38°18.4'S | 073°56.9'E | 0.937 | 57° | 48° | 280 km | 06m07.3s |
| 05:12 | 38°03.6'S | 075°42.2'E | 39°40.0'S | 073°13.6'E | 38°51.3'S | 074°29.1'E | 0.937 | 57° | 45° | 279 km | 06m07.8s |
| 05:14 | 38°35.8'S | 076°14.4'E | 40°13.4'S | 073°46.7'E | 39°24.2'S | 075°01.8'E | 0.937 | 57° | 43° | 278 km | 06m08.3s |
| 05:16 | 39°07.9'S | 076°47.0'E | 40°46.7'S | 074°20.2'E | 39°56.9'S | 075°34.8'E | 0.937 | 57° | 41° | 277 km | 06m08.8s |
| 05:18 | 39°40.0'S | 077°20.0'E | 41°20.0'S | 074°54.2'E | 40°29.5'S | 076°08.4'E | 0.937 | 58° | 39° | 276 km | 06m09.2s |
| 05:20 | 40°11.9'S | 077°53.6'E | 41°53.1'S | 075°28.8'E | 41°02.0'S | 076°42.4'E | 0.937 | 58° | 37° | 275 km | 06m09.6s |
| 05:22 | 40°43.6'S | 078°27.6'E | 42°26.2'S | 076°03.9'E | 41°34.5'S | 077°17.0'E | 0.937 | 58° | 34° | 275 km | 06m09.9s |
| 05:24 | 41°15.3'S | 079°02.3'E | 42°59.2'S | 076°39.6'E | 42°06.8'S | 077°52.2'E | 0.937 | 58° | 32° | 274 km | 06m10.2s |
| 05:26 | 41°46.9'S | 079°37.6'E | 43°32.2'S | 077°16.0'E | 42°39.0'S | 078°28.0'E | 0.937 | 58° | 30° | 273 km | 06m10.5s |
| 05:28 | 42°18.3'S | 080°13.5'E | 44°05.0'S | 077°53.2'E | 43°11.2'S | 079°04.6'E | 0.937 | 58° | 28° | 273 km | 06m10.7s |
| 05:30 | 42°49.6'S | 080°50.3'E | 44°37.8'S | 078°31.2'E | 43°43.2'S | 079°41.9'E | 0.937 | 57° | 25° | 272 km | 06m10.9s |
| 05:32 | 43°20.8'S | 081°27.8'E | 45°10.5'S | 079°10.0'E | 44°15.1'S | 080°20.1'E | 0.937 | 57° | 23° | 272 km | 06m11.1s |
| 05:34 | 43°51.9'S | 082°06.1'E | 45°43.2'S | 079°49.8'E | 44°47.0'S | 080°59.1'E | 0.937 | 57° | 21° | 271 km | 06m11.2s |
| 05:36 | 44°22.9'S | 082°45.3'E | 46°15.7'S | 080°30.5'E | 45°18.7'S | 081°39.1'E | 0.937 | 57° | 18° | 271 km | 06m11.2s |
| 05:38 | 44°53.7'S | 083°25.5'E | 46°48.2'S | 081°12.3'E | 45°50.4'S | 082°20.2'E | 0.937 | 57° | 16° | 271 km | 06m11.2s |
| 05:40 | 45°24.4'S | 084°06.8'E | 47°20.6'S | 081°55.3'E | 46°21.9'S | 083°02.2'E | 0.937 | 56° | 14° | 270 km | 06m11.2s |
| 05:42 | 45°55.0'S | 084°49.1'E | 47°52.9'S | 082°39.5'E | 46°53.3'S | 083°45.5'E | 0.937 | 56° | 12° | 270 km | 06m11.1s |
| 05:44 | 46°25.4'S | 085°32.6'E | 48°25.1'S | 083°25.0'E | 47°24.6'S | 084°30.0'E | 0.936 | 56° | 9° | 270 km | 06m11.0s |
| 05:46 | 46°55.7'S | 086°17.3'E | 48°57.3'S | 084°11.9'E | 47°55.8'S | 085°15.8'E | 0.936 | 55° | 7° | 270 km | 06m10.8s |
| 05:48 | 47°25.8'S | 087°03.4'E | 49°29.3'S | 085°00.3'E | 48°26.9'S | 086°03.0'E | 0.936 | 55° | 5° | 270 km | 06m10.6s |
| 05:50 | 47°55.8'S | 087°50.8'E | 50°01.2'S | 085°50.3'E | 48°57.8'S | 086°51.7'E | 0.936 | 54° | 3° | 270 km | 06m10.3s |
| 05:52 | 48°25.6'S | 088°39.7'E | 50°32.9'S | 086°42.0'E | 49°28.5'S | 087°41.9'E | 0.936 | 54° | 0° | 270 km | 06m10.0s |
| 05:54 | 48°55.2'S | 089°30.1'E | 51°04.5'S | 087°35.5'E | 49°59.1'S | 088°33.9'E | 0.936 | 53° | 358° | 270 km | 06m09.6s |
| 05:56 | 49°24.6'S | 090°22.3'E | 51°36.0'S | 088°30.9'E | 50°29.6'S | 089°27.6'E | 0.936 | 53° | 356° | 270 km | 06m09.1s |
| 05:58 | 49°53.9'S | 091°16.2'E | 52°07.3'S | 089°28.4'E | 50°59.8'S | 090°23.2'E | 0.936 | 52° | 354° | 271 km | 06m08.7s |
| 06:00 | 50°22.9'S | 092°11.9'E | 52°38.5'S | 090°28.0'E | 51°29.8'S | 091°20.9'E | 0.936 | 52° | 351° | 271 km | 06m08.1s |
| 06:02 | 50°51.6'S | 093°09.7'E | 53°09.4'S | 091°30.1'E | 51°59.7'S | 092°20.7'E | 0.936 | 51° | 349° | 271 km | 06m07.5s |
| 06:04 | 51°20.1'S | 094°09.5'E | 53°40.1'S | 092°34.6'E | 52°29.2'S | 093°22.8'E | 0.936 | 50° | 347° | 272 km | 06m06.8s |
| 06:06 | 51°48.3'S | 095°11.6'E | 54°10.6'S | 093°41.8'E | 52°58.5'S | 094°27.3'E | 0.935 | 50° | 345° | 272 km | 06m06.1s |
| 06:08 | 52°16.2'S | 096°16.1'E | 54°40.8'S | 094°51.9'E | 53°27.6'S | 095°34.5'E | 0.935 | 49° | 343° | 273 km | 06m05.3s |
| 06:10 | 52°43.8'S | 097°23.1'E | 55°10.7'S | 096°05.0'E | 53°56.3'S | 096°44.4'E | 0.935 | 48° | 340° | 274 km | 06m04.5s |
| 06:12 | 53°11.1'S | 098°32.7'E | 55°40.2'S | 097°21.4'E | 54°24.6'S | 097°57.3'E | 0.935 | 47° | 338° | 274 km | 06m03.5s |
| 06:14 | 53°37.9'S | 099°45.3'E | 56°09.4'S | 098°41.4'E | 54°52.6'S | 099°13.4'E | 0.935 | 46° | 336° | 275 km | 06m02.6s |
| 06:16 | 54°04.3'S | 101°00.8'E | 56°38.2'S | 100°05.0'E | 55°20.1'S | 100°32.8'E | 0.935 | 46° | 334° | 276 km | 06m01.5s |
| 06:18 | 54°30.2'S | 102°19.6'E | 57°06.4'S | 101°32.8'E | 55°47.1'S | 101°55.8'E | 0.935 | 45° | 331° | 277 km | 06m00.4s |
| 06:20 | 54°55.6'S | 103°41.9'E | 57°34.2'S | 103°04.8'E | 56°13.7'S | 103°22.7'E | 0.934 | 44° | 329° | 278 km | 05m59.2s |
| 06:22 | 55°20.4'S | 105°07.9'E | 58°01.3'S | 104°41.6'E | 56°39.6'S | 104°53.7'E | 0.934 | 43° | 327° | 279 km | 05m57.9s |
| 06:24 | 55°44.6'S | 106°37.7'E | 58°27.7'S | 106°23.4'E | 57°04.9'S | 106°29.1'E | 0.934 | 42° | 324° | 281 km | 05m56.6s |
| 06:26 | 56°08.1'S | 108°11.8'E | 58°53.4'S | 108°10.6'E | 57°29.4'S | 108°09.3'E | 0.934 | 41° | 322° | 282 km | 05m55.2s |
| 06:28 | 56°30.8'S | 109°50.4'E | 59°18.2'S | 110°03.6'E | 57°53.1'S | 109°54.6'E | 0.934 | 40° | 319° | 283 km | 05m53.7s |
| 06:30 | 56°52.6'S | 111°33.9'E | 59°42.0'S | 112°03.0'E | 58°15.9'S | 111°45.5'E | 0.933 | 39° | 317° | 285 km | 05m52.1s |
| 06:32 | 57°13.5'S | 113°22.6'E | 60°04.6'S | 114°09.3'E | 58°37.7'S | 113°42.3'E | 0.933 | 37° | 314° | 287 km | 05m50.5s |
| 06:34 | 57°33.2'S | 115°16.8'E | 60°26.0'S | 116°23.1'E | 58°58.2'S | 115°45.5'E | 0.933 | 36° | 312° | 289 km | 05m48.7s |
| 06:36 | 57°51.8'S | 117°17.2'E | 60°45.8'S | 118°45.1'E | 59°17.4'S | 117°55.7'E | 0.933 | 35° | 309° | 291 km | 05m46.8s |
| 06:38 | 58°09.0'S | 119°24.1'E | 61°04.0'S | 121°16.0'E | 59°35.1'S | 120°13.6'E | 0.932 | 34° | 306° | 293 km | 05m44.9s |
| 06:40 | 58°24.6'S | 121°38.2'E | 61°20.1'S | 123°56.8'E | 59°51.0'S | 122°39.8'E | 0.932 | 32° | 303° | 295 km | 05m42.8s |
| 06:42 | 58°38.4'S | 124°00.1'E | 61°33.9'S | 126°48.6'E | 60°05.0'S | 125°15.3'E | 0.932 | 31° | 300° | 298 km | 05m40.7s |
| 06:44 | 58°50.2'S | 126°30.7'E | 61°45.0'S | 129°52.7'E | 60°16.5'S | 128°00.9'E | 0.931 | 29° | 297° | 300 km | 05m38.3s |
| 06:46 | 58°59.6'S | 129°11.0'E | 61°52.7'S | 133°10.8'E | 60°25.4'S | 130°58.1'E | 0.931 | 28° | 293° | 303 km | 05m35.9s |
| 06:48 | 59°06.3'S | 132°02.1'E | 61°56.6'S | 136°45.1'E | 60°31.0'S | 134°08.3'E | 0.931 | 26° | 290° | 307 km | 05m33.3s |
| 06:50 | 59°09.7'S | 135°05.6'E | 61°55.5'S | 140°38.5'E | 60°32.6'S | 137°33.8'E | 0.930 | 24° | 286° | 310 km | 05m30.5s |
| 06:52 | 59°09.3'S | 138°23.6'E | 61°48.1'S | 144°55.7'E | 60°29.4'S | 141°17.4'E | 0.930 | 22° | 282° | 314 km | 05m27.4s |
| 06:54 | 59°03.9'S | 141°58.9'E | 61°32.4'S | 149°43.9'E | 60°20.1'S | 145°23.6'E | 0.929 | 20° | 278° | 319 km | 05m24.1s |
| 06:56 | 58°52.5'S | 145°56.1'E | 61°04.4'S | 155°16.5'E | 60°02.4'S | 149°59.4'E | 0.929 | 17° | 274° | 324 km | 05m20.4s |
| 06:58 | 58°32.7'S | 150°22.3'E | 60°15.8'S | 162°05.1'E | 59°32.7'S | 155°18.4'E | 0.928 | 15° | 268° | 331 km | 05m16.2s |
| 07:00 | 58°00.8'S | 155°31.1'E | 58°31.2'S | 172°27.2'E | 58°42.3'S | 161°52.0'E | 0.927 | 11° | 262° | 339 km | 05m11.0s |
| 07:02 | 57°07.6'S | 161°55.3'E | - | - | 56°54.8'S | 171°59.9'E | 0.925 | 5° | 253° | 352 km | 05m03.1s |
| Limits | 53°39.8'S | 178°38.5'E | 56°26.1'S | 178°15.8'W | 55°02.5'S | 179°52.0'W | 0.924 | 0° | - | 362 km | 04m56.9s |
ΔT = 4047.6 seconds
| Greatest Eclipse and Greatest Duration | ||||||||
| Event | Time TD |
Time UT1 |
Latitude | Longitude | Sun Altitude |
Sun Azimuth |
Path Width | Central Duration |
| Greatest Eclipse | 06:30:29.4 | 05:23:01.8 | 41°51.1'S | 060°40.4'E | 57.7° | 33.3° | 274.3 km | 06m10.10s |
| Greatest Duration | 06:44:57.2 | 05:37:29.6 | 45°42.4'S | 082°09.7'E | 56.7° | 16.8° | 270.7 km | 06m11.25s |
Links for the Annular Solar Eclipse of 2972 Oct 28
Links to Additional Solar Eclipse Predictions
- Home - home page of EclipseWise with predictions for both solar and lunar eclipses
- Solar Eclipses - primary page for solar eclipse predictions
- Solar Eclipse Links - detailed directory of links
Eclipse Predictions
Predictions for the Annular Solar Eclipse of 2972 Oct 28 were generated using the JPL DE406 solar and lunar ephemerides. The lunar coordinates were calculated with respect to the Moon's Center of Mass. Although the predictions are first calculated in Terrestrial Dynamical Time (TD), they are then converted to Universal Time (UT1) as presented here. The parameter ΔT is used to convert between the two times (i.e., UT1 = TD - ΔT). ΔT has a value of 4047.6 seconds for this eclipse. The uncertainty in ΔT is 885.2 seconds corresponding to a standard error in longitude of the eclipse path of ± 3.70°.
Acknowledgments
All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy.
Permission is granted to reproduce eclipse data when accompanied by a link to this page and an acknowledgment:
"Eclipse Predictions by Fred Espenak, EclipseWise.com"
The use of diagrams and maps is permitted provided that they are unaltered (except for re-sizing) and the embedded credit line is not removed or covered.