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, 85 99 2010 2010 4 302010 10 20 On Candidate Eclipses of a Supposed Eclipse in Myth Amano-Iwato Kiyotaka TANIKAWA and Mitsuru SôMA Abstract The authors interpret that the event Amano-Iwato in the mythological period of Japanese ancient chronologies Kojiki and Nihongi is a description of the experience of watching a total eclipse. We first introduce discussions and results of foregoing research. We look for candidate eclipses on the condition that the event took place during 1 AD and 300 AD. During our work, we almost deny the possibility that the eclipse in 247 AD is the Amano-Iwato eclipse appealing to two evidences. One is our recent result on T. The other is the unique value of T derived from a total eclipse written in a tale Yeon-o-rang and Seo-nyeo ( ) of Samguk-yusa (), a collection of tales of the ancient Korean peninsula. It is already known that the eclipse in 248 AD was not total either in the northern Kyushu or in the Kinki district. Thus, eclipses in 247 AD and 248 AD are almost excluded from the candidates of the Amano-Iwato event. We select a few candidates of the Amano-Iwato eclipse. Eclipses in 31 AD (annular), in 53 AD (total), 158 AD (total), and 168 AD (annular) could have been observed in the northern Kyushu, whereas eclipses in 53 AD (total), 56 AD (total), 146 AD (annular), 154 AD (total), 158 AD (total), and 328 AD (total) could have been observed in the Kiniki district. If we omit annular eclipses, the eclipses in 53 AD and 158 AD remain as candidates of the Amano-Iwato eclipse. Whether or not these eclipses were total either in the northern Kyushu or in the Kinki district will be determined if the values of T are determined more accurately. We cannot derive a positive conclusion in the case that the event took place in the BC period because our knowledge on the Japanese history for the BC period is poor. Finally, we discuss the conditions that a particular total or annular eclipse remains as a record referring to examples in the area where there were no astronomers. 85

...... 1 1666 1728 2 3,p.182 247 248 247 248 T 158 T 248 158 250 53 350 10 T T TT UT TT UT 24 24 24 T 19 19 UT TT T T 4 1897 1978 661 660 5 86

1095 5 09 279 1054 8 31 376 896 8 24 737 874 6 24 786 795 3 24 966 788 10 28 983 754 7 16 1062 708 7 17 1176 674 4 5 1259 1034 8 31 1035 8 31 No.422 788 10 26 1054 8 31 1034 8 31 1035 8 31 788 10 28 788 10 26 6 708 20,100 T 21,000 67418,500 T 20,700 7 T 708 7 17 Qufu 708 7 17 674 4 5 T 20,550 19,600 0.95 T 1,000 3 1913 2003 158 7 13 1920 8 158 7 13 87

158 7 13 3276 248 9 5 3481 454 8 10 3944 522 6 10 4107 158 158 248 9 5 248 248 454 8 10 522 6 10 248 158 9 247 248 247 3 24 3478 248 9 5 3481 10 10 280 290 230 240 240 247 248 247 248 9 5 247 3 24 248 T 247 3 24 T T 7,300 T 10,000 247 247 T 7,300 158 7 13 88

248 9 5 T 10,000 T 7,3000.95 Asuka 135 49 E 34 28 N Dazaifu 130 32 E 33 31 N Qufu 117 01 E 35 32 N Changan 108 53 E 34 21 N Luoyang 112 28 E 34 45 N Jiankang 118 47 E 32 02 N Gyeongju 129 13 E 35 51 N Babylon 44 25 E 32 33 N Nicaea 29 36 E 40 25 N Tralles 27 51 E 37 51 N Chaeroneia 22 54 E 38 24 N Athens 23 44 E 37 59 N 247 3 24 T 10,000 T 7,3000.95 11 1206 1289 1270 51 89

AD 157 158 7 13 6, 12, 13 120 T 8,100 333 T 6,800 158 T 7,870 129 13 35 51 7692 T 7,933 0.95 6,305 T 9,256 120 333 T T 9,000 T 247 248 T 7,300 247 0.7 0.8 0.3 0.4 248 0.9 158 7 13 T 7812 0.98 0.96 90

天の磐戸 日食候補について ように 食分0.9ではあたりは暗くならない し たがって どちらの日食も 天の磐戸 日食の候補 としてふさわしくない 図5 6 および7に 慶州 太宰府 飛鳥での 日食当日の太陽の欠けかたの変化を示した 以上の議論からわかることは 三国遺事 の 記事が史実 皆既食経験 を反映していることで ある ただし 結果は微妙である 紀元158年日 食が慶州で皆既なら その皆既帯は中国地方を通 るので 北九州と近畿では ほぼ同じ0.97程度の 最大食分の日食が見えた この日食が 天の磐戸 日食としても 天照大神が九州にいたのか近畿に いたのか決着はつかない 図5 158年 7 月13日の日食の慶州 東経129 13 北緯35 51 での見え方 図は天頂を上にし て描いてある 斜めの短線は天の北極方向を示している T 7,812秒 図の中の数字は食分を 表す 時刻は日本標準時 最後の図は日入時の状況である 図6 158年 7 月13日の日食の太宰府 東経130 32 北緯33 31 での見え方 図は天頂を上に して描いてある 斜めの短線は天の北極方向を示している T 7,812秒 図の中の数字は食分 を表す 時刻は日本標準時 最後の図は日入時の状況である 図7 158年 7 月13日の日食の飛鳥 東経135 49 北緯34 28 での見え方 図は天頂を上にし て描いてある 斜めの短線は天の北極方向を示している T 7,812秒 図の中の数字は食分を 表す 時刻は日本標準時 最後の図は日入時の状況である 91

200 500 79 9 20 27 6 19 14 0.92 0.92 1.0 T Stephenson10, p.360 29 11 14 T 9,050 Tralles 0.99610 57 0.997 11.0 Nicaea 0.956 Nicaea 11 7 10.8 130 3233 31 135 4934 28 71 306 247 T 197 8 7 187 7 17 11761 12688 13 180 3 4 135 4 15 11199 12125 Babylon 79 9 20 8440 9608 6835 8130 27 6 19 9465 10880 6238 8039 2 11 23 8547 8577 29 11 24 8648 10166 Nicaea Tralles 65 12 16 8364 8811 71 3 20 9411 9520 Chaeroneia 158 7 13 7692 7933 306 7 27 6807 8177 360 8 28 6712 7103 484 1 14 4493 5466 Athens 1.0 0.92 T T 200500 T. / T 31 5 10 10575 11212 53 3 9 8536 8647 9603 9714 56 12 25 7519 7658 146 8 25 5673 6453 7550 8479 154 9 25 6247 6733 158 7 13 6767 6976 8546 8768 168 12 17 7685 9522 8986 10325 308 11 30 7251 8425 9028 9570 328 5 25 4280 5523 5180 6408 92

200 300 247 2.5 247 247 53 3 9 56 12 25154 53 3 9 T 8,600 T 9,650 0.95 56 12 25 T 7,519 T 7,650 0.95 93

9 25328 5 25 10 11 1231 5 10146 8 25168 12 17308 11 30 13 14 15 16 T T 56 12 25154 9 25 328 5 25 154 9 25 T 6,247 T 6,753 0.95 328 5 25 T 5,180 T 6,408 0.95 94

154 6,247 T 6,753 158 7 13 7,692 T 7,933 154 15 168 T T T 15 T 7,998 7,685 90 31 5 10 T 10,575 T 11,212 0.95 146 8 25 T 7,550 T 8,479 0.95 95

15 16 308 T T 168 12 17 T 7,998 T 9,522 0.95 308 11 30 T 8,075 T 9,227 0.95 96

i ii iii 600 584 430 393 309 128 10 20 647 584 6 647 4 6 1328 Paros or Thasos 584 5 28 1489 Pteria 462 4 30 1795 Thebes 430 8 3 1873 Athens 393 8 14 1959 Chaeroneia 309 8 15 2149 Sicily 128 11 20 2566 Hellespont 10 10 97

15 16... 17 1183 11 17 1994 4 1 176212 1990 98

1940 Vol. 12, 1 pp.48 54 Oppolzer, Th. Ritter von: 1962, Canon of Eclipses, translated by O. Gingerich, Dover Publications INC., New York. Originally published as Vol.52 of the Memoirs, Mathematics natural Sciences Classes of the Imperial Academy of Scineces in Vienna (1887). Tanikawa, K., Yamamoto, T., and M. Sôma, M: 2010, Solar eclipses in the first half of the Chunqiu Period, Publ. Astron. Soc. Japan 62 No.3, 797 809. 1979 Schoch, K.: 1927, Planeten-tafeln für jedermann zur Berechnung der geozentrischen örter der grossen Planeten (und des Mondes) für den Zeitraum von 3400 v. Chr. bis 2600 n. Chr. ohne Anwendung der Logarithmen und trigonometrischen Funktionen bis auf ein Zehntel Grad unter besonderer Berücksichtigung der babylonischen Astronomie, Berlin- Pankow, Linser-verlag g.m.b.h.. 2003 10 Stephenson, F.R.: 1997, Historical Eclipses and Earth s Rotation, Cambridge University Press, Cambridge. 11 1976 12 Sôma, M., Tanikawa, K., and Kawabata, K-A.: 2002, Earth s rotation in the 7th century derived from eclipse records in Japan and in China, in Astronomy from Ground and from Space, 25 28 September, 2002, Bucharest, Romania. 13 Kawabata, K.-A., Tanikawa, K., and Sôma, M.: 2004, A solar eclipse versified in the Shijing, Publ. Astron. Soc. Japan 56, 869 877. 14 Tanikawa, K. and Sôma, M.: 2004, T and the Tidal Acceleration of the Lunar Motion from Eclipses Observed at Plural Sites, Publ. Astron. Soc. Japan 56, 879 885. 15 1967 10 p. 26 27 16 Neugebauer, O.: 1975, A History of Ancient Mathematical Astronomy, Springer-Verlag, Berlin, p.604. 17 1910 99