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I. Annular solar eclipse of 2013 May 9-10


The eclipse is visible from Australia, New Zealand, central part of Pacific
Ocean.


Universal time of geocentric conjunction
h m s
in right ascension 2013, May 10, 0 19 41.1


Geocentric coordinates of the Sun
h m s s h
Right ascension . . . . . . . 3 08 13.29+ 9.766( T- 0 )
ТА ' " " h
Declination . . . . . . . . .+17 36 17.8 +39.30 ( T- 0 )
"
Equatorial horizontal parallax 8.71
' "
Apparent semidiameter . . . . 15 50.36


Geocentric coordinates of the Moon

h m s s h s h 2
Right ascension . . . . . . . 3 07 35.41+125.214(T- 0 )+0.032(T- 0 )
ТА ' " " h " h 2
Declination . . . . . . . . . +17 19 47.3 +331.73 (T- 0 )-2.51 (T- 0 )
' " " h " h 2
Equatorial horizontal parallax 54 40.77- 0.821(T- 0 )+0.003(T- 0 )
' " " h " h 2
Apparent semidiameter . . . . 14 54.00- 0.224(T- 0 )+0.001(T- 0 )

T - universal time in hours (TDT-UT1= 67.0s)

General Circumstances of the Eclipse

---------------------------------------T----------------T------------T-----------------
Phenomena Т? Universal Т? Latitude Т? Longitude
Т? Time Т? Т?
---------------------------------------+----------------+------------+-----------------
Т? h m Т? ТА ' Т? ТА '
Eclipse begins . . . . . . . . . . . .Т? 21 25.1 Т? -19 06.5 Т? 133 49.4 E
Central eclipse begins . . . . . . . .Т? 22 32.6 Т? -24 27.5 Т? 119 16.2 E
Central eclipse at local apparent noon Т? 0 19.7 Т? + 1 44.9 Т? 174 10.5 E
Central eclipse ends . . . . . . . . .Т? 2 17.9 Т? - 5 26.4 Т? 127 06.8 W
Eclipse ends . . . . . . . . . . . . .Т? 3 25.4 Т? - 0 03.8 Т? 142 00.4 W

Besselian Elements

--------T---------T---------T---------T---------T---------T---------T---------
UniversalТ? x Т? y Т? sin d Т? cos d Т? u Т? u Т? m
Time Т? Т? Т? Т? Т? e Т? i Т?
--------+---------+---------+---------+---------+---------+---------+---------
h m Т? Т? Т? Т? Т? Т? Т? ТА '
21 20 Т?-1.51303 |-0.54035 |+0.30199 |+0.95331 |+0.56341 |+0.01694 | 140 53.9
30 Т?-1.42884 |-0.52545 |+0.30202 |+0.95330 |+0.56343 |+0.01696 | 143 23.9
40 Т?-1.34466 |-0.51056 |+0.30205 |+0.95329 |+0.56346 |+0.01698 | 145 53.9
50 Т?-1.26047 |-0.49568 |+0.30208 |+0.95328 |+0.56348 |+0.01700 | 148 23.9
Т? | | | | | |
22 00 Т?-1.17628 |-0.48080 |+0.30211 |+0.95327 |+0.56350 |+0.01702 | 150 54.0
10 Т?-1.09208 |-0.46593 |+0.30214 |+0.95326 |+0.56352 |+0.01704 | 153 24.0
20 Т?-1.00788 |-0.45106 |+0.30217 |+0.95325 |+0.56353 |+0.01706 | 155 54.0
30 Т?-0.92368 |-0.43620 |+0.30220 |+0.95325 |+0.56355 |+0.01708 | 158 24.0
40 Т?-0.83948 |-0.42134 |+0.30223 |+0.95324 |+0.56357 |+0.01710 | 160 54.0
50 Т?-0.75528 |-0.40648 |+0.30226 |+0.95323 |+0.56359 |+0.01712 | 163 24.0
Т? | | | | | |
23 00 Т?-0.67107 |-0.39163 |+0.30229 |+0.95322 |+0.56360 |+0.01713 | 165 54.1
10 Т?-0.58686 |-0.37679 |+0.30232 |+0.95321 |+0.56362 |+0.01715 | 168 24.1
20 Т?-0.50265 |-0.36195 |+0.30235 |+0.95320 |+0.56364 |+0.01716 | 170 54.1
30 Т?-0.41844 |-0.34712 |+0.30238 |+0.95319 |+0.56365 |+0.01718 | 173 24.1
40 Т?-0.33423 |-0.33229 |+0.30240 |+0.95318 |+0.56367 |+0.01719 | 175 54.1
50 Т?-0.25002 |-0.31747 |+0.30243 |+0.95317 |+0.56368 |+0.01721 | 178 24.1
Т? | | | | | |
0 00 Т?-0.16580 |-0.30265 |+0.30246 |+0.95316 |+0.56369 |+0.01722 | 180 54.2
10 Т?-0.08159 |-0.28784 |+0.30249 |+0.95315 |+0.56371 |+0.01723 | 183 24.2
20 Т?+0.00263 |-0.27303 |+0.30252 |+0.95314 |+0.56372 |+0.01725 | 185 54.2
30 Т?+0.08685 |-0.25823 |+0.30255 |+0.95313 |+0.56373 |+0.01726 | 188 24.2
40 Т?+0.17106 |-0.24344 |+0.30258 |+0.95312 |+0.56374 |+0.01727 | 190 54.2
50 Т?+0.25528 |-0.22865 |+0.30261 |+0.95311 |+0.56375 |+0.01728 | 193 24.2
Т? | | | | | |
1 00 Т?+0.33950 |-0.21386 |+0.30264 |+0.95310 |+0.56376 |+0.01729 | 195 54.3
10 Т?+0.42371 |-0.19908 |+0.30267 |+0.95309 |+0.56377 |+0.01730 | 198 24.3
20 Т?+0.50793 |-0.18431 |+0.30270 |+0.95309 |+0.56378 |+0.01731 | 200 54.3
30 Т?+0.59214 |-0.16954 |+0.30273 |+0.95308 |+0.56379 |+0.01732 | 203 24.3
40 Т?+0.67636 |-0.15478 |+0.30276 |+0.95307 |+0.56380 |+0.01732 | 205 54.3
50 Т?+0.76057 |-0.14002 |+0.30279 |+0.95306 |+0.56380 |+0.01733 | 208 24.3
Т? | | | | | |
2 00 Т?+0.84479 |-0.12527 |+0.30282 |+0.95305 |+0.56381 |+0.01734 | 210 54.4
10 Т?+0.92900 |-0.11053 |+0.30285 |+0.95304 |+0.56382 |+0.01734 | 213 24.4
20 Т?+1.01321 |-0.09579 |+0.30288 |+0.95303 |+0.56382 |+0.01735 | 215 54.4
30 Т?+1.09742 |-0.08105 |+0.30291 |+0.95302 |+0.56383 |+0.01735 | 218 24.4
40 Т?+1.18163 |-0.06632 |+0.30294 |+0.95301 |+0.56383 |+0.01736 | 220 54.4
50 Т?+1.26583 |-0.05160 |+0.30297 |+0.95300 |+0.56383 |+0.01736 | 223 24.4
Т? | | | | | |
3 00 Т?+1.35003 |-0.03688 |+0.30300 |+0.95299 |+0.56384 |+0.01737 | 225 54.5
10 Т?+1.43424 |-0.02217 |+0.30303 |+0.95298 |+0.56384 |+0.01737 | 228 24.5
20 Т?+1.51843 |-0.00747 |+0.30306 |+0.95297 |+0.56384 |+0.01737 | 230 54.5
30 Т?+1.60263 |+0.00723 |+0.30309 |+0.95296 |+0.56384 |+0.01737 | 233 24.5

--------T-----------T-----------T--------T-----------T----------
Univers.Т? x' Т? y' Т?Univers.Т? x' Т? y' tgf =0.0046313
Time Т? Т? Т? Time Т? Т? e
--------+-----------+-----------+--------+-----------+----------tgf =0.0046082
h Т? Т? Т? h Т? Т? i
21 Т? +0.008417 Т? +0.001491 Т? 1 Т? +0.008422 Т? +0.001478 m'=0.0043638
22 Т? +0.008419 Т? +0.001488 Т? 2 Т? +0.008421 Т? +0.001475
23 Т? +0.008421 Т? +0.001485 Т? 3 Т? +0.008420 Т? +0.001471
0 Т? +0.008421 Т? +0.001481 Т? 4 Т? +0.008419 Т? +0.001468