Path of the Annular Solar Eclipse of 1650 Apr 30

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1650 Apr 30 . 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 1650 Apr 30
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits65°17.6'S107°07.4'W67°36.3'S103°15.6'W66°27.0'S105°19.5'W 0.938 - 308 km 04m38.3s
15:3058°31.8'S090°46.2'W - - 62°21.8'S094°57.6'W 0.940 40° 292 km 04m45.0s
15:3256°23.9'S086°53.6'W63°25.7'S093°10.3'W59°14.2'S088°43.5'W 0.941 11° 34° 282 km 04m50.3s
15:3454°38.7'S084°00.0'W60°04.5'S086°48.6'W57°03.0'S084°57.2'W 0.942 14° 30° 276 km 04m54.0s
15:3653°07.1'S081°39.9'W57°47.9'S083°05.2'W55°15.5'S082°08.8'W 0.942 16° 28° 271 km 04m57.2s
15:3851°44.8'S079°41.6'W55°57.2'S080°20.2'W53°42.2'S079°52.9'W 0.943 18° 25° 268 km 05m00.0s
15:4050°29.5'S077°58.9'W54°21.5'S078°07.6'W52°18.6'S077°58.2'W 0.943 20° 23° 265 km 05m02.5s
15:4249°19.6'S076°27.9'W52°56.1'S076°15.9'W51°02.1'S076°18.6'W 0.944 22° 21° 262 km 05m04.8s
15:4448°14.1'S075°06.0'W51°38.3'S074°38.9'W49°51.3'S074°50.3'W 0.944 23° 19° 260 km 05m07.0s
15:4647°12.3'S073°51.5'W50°26.5'S073°13.0'W48°45.1'S073°30.8'W 0.945 25° 17° 258 km 05m09.0s
15:4846°13.7'S072°43.0'W49°19.3'S071°55.7'W47°42.7'S072°18.3'W 0.945 26° 16° 257 km 05m10.9s
15:5045°17.8'S071°39.5'W48°16.2'S070°45.2'W46°43.6'S071°11.7'W 0.945 27° 14° 255 km 05m12.8s
15:5244°24.3'S070°40.4'W47°16.4'S069°40.3'W45°47.3'S070°10.0'W 0.945 28° 13° 254 km 05m14.5s
15:5443°32.9'S069°44.8'W46°19.6'S068°40.1'W44°53.4'S069°12.3'W 0.946 29° 11° 253 km 05m16.2s
15:5642°43.4'S068°52.5'W45°25.3'S067°43.9'W44°01.7'S068°18.2'W 0.946 31° 10° 253 km 05m17.9s
15:5841°55.7'S068°02.9'W44°33.3'S066°51.0'W43°12.0'S067°27.1'W 0.946 31° 252 km 05m19.4s
16:0041°09.5'S067°15.8'W43°43.4'S066°01.1'W42°24.1'S066°38.6'W 0.946 32° 252 km 05m20.9s
16:0240°24.8'S066°30.8'W42°55.2'S065°13.7'W41°37.8'S065°52.5'W 0.946 33° 252 km 05m22.4s
16:0439°41.4'S065°47.7'W42°08.8'S064°28.5'W40°53.0'S065°08.5'W 0.947 34° 252 km 05m23.8s
16:0638°59.3'S065°06.3'W41°23.9'S063°45.3'W40°09.6'S064°26.2'W 0.947 35° 252 km 05m25.1s
16:0838°18.3'S064°26.4'W40°40.4'S063°03.9'W39°27.4'S063°45.6'W 0.947 36° 252 km 05m26.4s
16:1037°38.4'S063°47.8'W39°58.2'S062°23.9'W38°46.5'S063°06.4'W 0.947 36° 360° 252 km 05m27.6s
16:1236°59.5'S063°10.5'W39°17.3'S061°45.3'W38°06.6'S062°28.4'W 0.947 37° 358° 252 km 05m28.8s
16:1436°21.5'S062°34.3'W38°37.5'S061°07.9'W37°27.8'S061°51.6'W 0.947 38° 357° 253 km 05m30.0s
16:1635°44.5'S061°59.0'W37°58.7'S060°31.7'W36°49.9'S061°15.9'W 0.947 38° 356° 253 km 05m31.1s
16:1835°08.3'S061°24.6'W37°21.0'S059°56.3'W36°13.0'S060°41.0'W 0.947 39° 354° 254 km 05m32.2s
16:2034°32.9'S060°51.0'W36°44.2'S059°21.8'W35°37.0'S060°07.0'W 0.948 39° 353° 255 km 05m33.2s
16:2233°58.3'S060°18.1'W36°08.4'S058°48.1'W35°01.8'S059°33.7'W 0.948 40° 352° 256 km 05m34.2s
16:2433°24.4'S059°45.8'W35°33.4'S058°15.1'W34°27.4'S059°01.0'W 0.948 40° 350° 256 km 05m35.1s
16:2632°51.3'S059°14.0'W34°59.3'S057°42.6'W33°53.8'S058°29.0'W 0.948 40° 349° 257 km 05m36.0s
16:2832°18.8'S058°42.8'W34°25.9'S057°10.7'W33°20.9'S057°57.4'W 0.948 41° 347° 259 km 05m36.9s
16:3031°47.0'S058°12.0'W33°53.3'S056°39.2'W32°48.7'S057°26.2'W 0.948 41° 346° 260 km 05m37.7s
16:3231°15.8'S057°41.5'W33°21.4'S056°08.1'W32°17.2'S056°55.5'W 0.948 41° 345° 261 km 05m38.4s
16:3430°45.3'S057°11.3'W32°50.3'S055°37.3'W31°46.4'S056°25.0'W 0.948 42° 343° 262 km 05m39.1s
16:3630°15.3'S056°41.5'W32°19.8'S055°06.8'W31°16.2'S055°54.8'W 0.948 42° 342° 264 km 05m39.8s
16:3829°46.0'S056°11.8'W31°50.0'S054°36.5'W30°46.6'S055°24.8'W 0.948 42° 340° 265 km 05m40.4s
16:4029°17.2'S055°42.3'W31°20.8'S054°06.3'W30°17.7'S054°55.0'W 0.948 42° 339° 267 km 05m41.0s
16:4228°48.9'S055°12.9'W30°52.3'S053°36.3'W29°49.3'S054°25.3'W 0.948 42° 338° 268 km 05m41.5s
16:4428°21.2'S054°43.6'W30°24.4'S053°06.4'W29°21.5'S053°55.7'W 0.948 42° 336° 270 km 05m42.0s
16:4627°54.0'S054°14.3'W29°57.1'S052°36.5'W28°54.3'S053°26.1'W 0.948 43° 335° 272 km 05m42.4s
16:4827°27.4'S053°45.0'W29°30.3'S052°06.5'W28°27.6'S052°56.5'W 0.948 43° 334° 274 km 05m42.8s
16:5027°01.3'S053°15.6'W29°04.2'S051°36.5'W28°01.4'S052°26.9'W 0.948 43° 332° 275 km 05m43.1s
16:5226°35.6'S052°46.2'W28°38.6'S051°06.4'W27°35.8'S051°57.1'W 0.948 42° 331° 277 km 05m43.3s
16:5426°10.5'S052°16.6'W28°13.6'S050°36.1'W27°10.8'S051°27.2'W 0.948 42° 329° 279 km 05m43.5s
16:5625°45.9'S051°46.9'W27°49.1'S050°05.6'W26°46.2'S050°57.1'W 0.948 42° 328° 281 km 05m43.7s
16:5825°21.8'S051°16.9'W27°25.2'S049°34.8'W26°22.2'S050°26.8'W 0.948 42° 327° 283 km 05m43.7s
17:0024°58.1'S050°46.7'W27°01.9'S049°03.8'W25°58.7'S049°56.2'W 0.948 42° 325° 285 km 05m43.8s
17:0224°35.0'S050°16.2'W26°39.1'S048°32.4'W25°35.8'S049°25.2'W 0.948 42° 324° 287 km 05m43.7s
17:0424°12.3'S049°45.3'W26°16.8'S048°00.6'W25°13.3'S048°53.9'W 0.948 41° 323° 289 km 05m43.6s
17:0623°50.2'S049°14.1'W25°55.1'S047°28.4'W24°51.4'S048°22.2'W 0.948 41° 322° 291 km 05m43.4s
17:0823°28.5'S048°42.4'W25°33.9'S046°55.7'W24°29.9'S047°50.1'W 0.948 41° 320° 292 km 05m43.2s
17:1023°07.3'S048°10.2'W25°13.3'S046°22.4'W24°09.0'S047°17.4'W 0.948 41° 319° 294 km 05m42.9s
17:1222°46.6'S047°37.5'W24°53.3'S045°48.5'W23°48.7'S046°44.1'W 0.948 40° 318° 296 km 05m42.5s
17:1422°26.5'S047°04.2'W24°33.8'S045°14.0'W23°28.8'S046°10.2'W 0.947 40° 317° 298 km 05m42.1s
17:1622°06.8'S046°30.2'W24°14.9'S044°38.7'W23°09.6'S045°35.6'W 0.947 39° 315° 299 km 05m41.6s
17:1821°47.7'S045°55.5'W23°56.6'S044°02.6'W22°50.8'S045°00.3'W 0.947 39° 314° 301 km 05m41.0s
17:2021°29.1'S045°20.0'W23°38.9'S043°25.6'W22°32.7'S044°24.1'W 0.947 38° 313° 303 km 05m40.3s
17:2221°11.0'S044°43.7'W23°21.8'S042°47.6'W22°15.1'S043°47.0'W 0.947 38° 312° 304 km 05m39.6s
17:2420°53.6'S044°06.5'W23°05.4'S042°08.5'W21°58.1'S043°08.9'W 0.947 37° 311° 305 km 05m38.7s
17:2620°36.6'S043°28.2'W22°49.6'S041°28.3'W21°41.7'S042°29.7'W 0.947 36° 310° 306 km 05m37.8s
17:2820°20.3'S042°48.8'W22°34.5'S040°46.7'W21°26.0'S041°49.3'W 0.947 36° 309° 307 km 05m36.8s
17:3020°04.6'S042°08.2'W22°20.2'S040°03.7'W21°11.0'S041°07.6'W 0.946 35° 308° 308 km 05m35.7s
17:3219°49.6'S041°26.2'W22°06.5'S039°19.2'W20°56.6'S040°24.5'W 0.946 34° 307° 309 km 05m34.6s
17:3419°35.3'S040°42.8'W21°53.7'S038°32.9'W20°43.0'S039°39.7'W 0.946 33° 306° 310 km 05m33.3s
17:3619°21.6'S039°57.8'W21°41.8'S037°44.6'W20°30.1'S038°53.2'W 0.946 33° 305° 310 km 05m31.9s
17:3819°08.7'S039°11.0'W21°30.7'S036°54.2'W20°18.1'S038°04.8'W 0.946 32° 304° 310 km 05m30.5s
17:4018°56.7'S038°22.2'W21°20.6'S036°01.3'W20°07.0'S037°14.1'W 0.945 31° 303° 311 km 05m28.9s
17:4218°45.5'S037°31.1'W21°11.6'S035°05.7'W19°56.8'S036°21.0'W 0.945 30° 302° 311 km 05m27.2s
17:4418°35.2'S036°37.6'W21°03.8'S034°06.8'W19°47.7'S035°25.1'W 0.945 29° 301° 311 km 05m25.4s
17:4618°26.0'S035°41.3'W20°57.3'S033°04.4'W19°39.7'S034°26.0'W 0.945 28° 300° 310 km 05m23.5s
17:4818°17.9'S034°41.8'W20°52.3'S031°57.6'W19°33.1'S033°23.3'W 0.944 26° 299° 310 km 05m21.4s
17:5018°11.1'S033°38.5'W20°49.1'S030°45.7'W19°27.8'S032°16.3'W 0.944 25° 298° 310 km 05m19.2s
17:5218°05.7'S032°31.0'W20°47.8'S029°27.6'W19°24.3'S031°04.2'W 0.944 24° 297° 309 km 05m16.9s
17:5418°02.0'S031°18.3'W20°49.0'S028°01.9'W19°22.7'S029°45.9'W 0.943 22° 296° 309 km 05m14.3s
17:5618°00.2'S029°59.5'W20°53.3'S026°26.2'W19°23.6'S028°20.0'W 0.943 20° 295° 308 km 05m11.6s
17:5818°00.7'S028°32.9'W21°01.7'S024°37.1'W19°27.4'S026°44.3'W 0.943 19° 294° 308 km 05m08.6s
18:0018°04.2'S026°56.5'W21°15.9'S022°28.3'W19°35.1'S024°55.4'W 0.942 17° 293° 307 km 05m05.2s
18:0218°11.6'S025°06.8'W21°39.6'S019°46.6'W19°48.4'S022°47.3'W 0.941 14° 292° 307 km 05m01.4s
18:0418°24.4'S022°57.9'W22°24.5'S015°50.4'W20°10.7'S020°07.5'W 0.941 11° 291° 306 km 04m56.9s
18:0618°45.9'S020°17.3'W - - 20°52.1'S016°18.7'W 0.940 289° 307 km 04m50.9s
Limits21°09.0'S009°05.9'W24°06.0'S008°59.0'W22°36.2'S009°02.7'W 0.938 - 310 km 04m41.0s

ΔT = 48.2 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse16:48:48.216:47:59.928°27.6'S053°08.6'W 42.5° 333.6° 273.5 km05m42.76s
Greatest Duration17:00:27.116:59:38.926°02.8'S050°01.6'W 42.0° 325.7° 284.5 km05m43.76s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1650 Apr 30

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 1650 Apr 30 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 48.2 seconds for this eclipse. The uncertainty in ΔT is 12.4 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.05°.

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.