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Comparison with

First Lunar Crescent Dates

of L. Fatoohi

Uroš Anderlič

Two-hundred-nine (-567 to -73) first lunar crescents for Babylon - published in "Babylonian First Visibility of the Lunar Crescent", Journal for the History of Astronomy, February 1999 - by L. J. Fatoohi, F. R. Stephenson and S. S. Al-Dargazelli have been compared to my dates for that first lunar crescent of interest and are given in the following tables. These tables include for the time of the first lunar crescent the information of the Julian Day at Universal Time (JD(UT); column 1), the historical year (column 2), the astronomical year (column 3), my month and day (i.e. Anderlič's month and day) as well as my month and day (i.e. Anderlič's (n) month and day) by considering 4.00° as the lower limit of the moon's altitude at the end of civil twilight (column 4, 5, 6, and 7), Fatoohi's day and month (column 9 and 8), delta day (i.e. difference between Fatoohi's date and my date; column 10), and delta day (n) (i.e. difference between Fatoohi's date and my date (n); column 11).

Fatoohi's data equal to my data in more than 79.4% of cases and taking 4.00° as the lower boundary even more than 87.5% of the first lunar crescent dates equal to each other. Less than 1.5% of the first lunar crescents in Fatoohi's data occur one day earlier as in my table because of my higher low boundary of 1.90°, where the altitude of the moon for each first lunar crescent is very close to the horizon and it is doubtful if it can be said that the first lunar crescent under not very optimal conditions was visible at all on that very day. On the other hand, less than 19.2% of the first lunar crescents appear one day later in Fatoohi's data as in mine and this can be explained – with one exception (alternatively cloudiness on the previous day can not be excluded) – because of the low altitude of the moon, which is smaller than or about 4.00° in my data. Further, the graph gives summarized the differences between Fatoohi's data and my data.

Permission is freely granted to reproduce this data when accompanied by an acknowledgment.

Comparison of First Lunar Crescents: -567 to -193 (104 dates)

JD (UT)	Year		Year		Anderlič		Anderlič (n)		Fatoohi		Delta Day
	Historical		Astronom.		Month	Day	Month	Day	Month	Day		(n)
1514073.1458	568	B.C.		-567	4	22	4	22	4	22	0	0
1514102.1583	568	B.C.		-567	5	21	5	22	5	22	+1	0
1514132.1708	568	B.C.		-567	6	20	6	20	6	20	0	0
1514369.1139	567	B.C.		-566	2	12	2	12	2	12	0	0
1514398.1285	567	B.C.		-566	3	13	3	14	3	14	+1	0
1568675.1069	419	B.C.		-418	10	19	10	20	10	20	+1	0
1582023.1521	382	B.C.		-381	5	6	5	6	5	6	0	0
1582082.1736	382	B.C.		-381	7	4	7	4	7	4	0	0
1583293.1000	379	B.C.		-378	10	27	10	27	10	27	0	0
1584474.1007	375	B.C.		-374	1	20	1	20	1	20	0	0
1584533.1326	375	B.C.		-374	3	20	3	20	3	20	0	0
1585242.1222	373	B.C.		-372	2	27	2	27	2	27	0	0
1585272.1361	373	B.C.		-372	3	28	3	28	3	28	0	0
1585389.1715	373	B.C.		-372	7	23	7	24	7	23	0	-1
1586158.1493	371	B.C.		-370	8	1	8	1	8	1	0	0
1586216.0993	371	B.C.		-370	10	28	10	28	10	28	0	0
1586837.1736	369	B.C.		-368	7	10	7	11	7	10	0	-1
1587545.1708	367	B.C.		-366	6	18	6	18	6	18	0	0
1587605.1590	367	B.C.		-366	8	17	8	17	8	17	0	0
1595016.0847	347	B.C.		-346	12	1	12	2	12	2	+1	0
1595106.1236	346	B.C.		-345	3	1	3	1	3	1	0	0
1596493.0854	343	B.C.		-342	12	17	12	17	12	17	0	0
1599594.1694	334	B.C.		-333	6	14	6	14	6	14	0	0
1599654.1618	334	B.C.		-333	8	13	8	13	8	13	0	0
1600067.1229	333	B.C.		-332	9	29	9	29	9	29	0	0
1601542.1104	329	B.C.		-328	10	13	10	14	10	13	0	-1
1601602.0840	329	B.C.		-328	12	12	12	12	12	12	0	0
1602813.1396	325	B.C.		-324	4	6	4	6	4	6	0	0
1602901.1736	325	B.C.		-324	7	3	7	3	7	3	0	0
1602931.1674	325	B.C.		-324	8	2	8	2	8	2	0	0
1602990.1215	325	B.C.		-324	9	30	9	30	9	30	0	0
1603788.0840	323	B.C.		-322	12	7	12	7	12	7	0	0
1603817.0924	322	B.C.		-321	1	5	1	5	1	5	0	0
1603846.1090	322	B.C.		-321	2	3	2	3	2	3	0	0
1603905.1382	322	B.C.		-321	4	3	4	3	4	3	0	0
1604023.1688	322	B.C.		-321	7	30	7	30	7	30	0	0
1604053.1507	322	B.C.		-321	8	29	8	29	8	29	0	0
1609103.1729	308	B.C.		-307	6	26	6	26	6	26	0	0
1609161.1549	308	B.C.		-307	8	23	8	24	8	24	+1	0
1610962.1694	303	B.C.		-302	7	29	7	30	7	29	0	-1
1610992.1507	303	B.C.		-302	8	28	8	29	8	28	0	-1
1611052.1000	303	B.C.		-302	10	27	10	28	10	27	0	-1
1611082.0854	303	B.C.		-302	11	26	11	26	11	26	0	0
1611111.0875	303	B.C.		-302	12	25	12	26	12	26	+1	0
1611141.1028	302	B.C.		-301	1	24	1	24	1	24	0	0
1611287.1708	302	B.C.		-301	6	19	6	20	6	19	0	-1
1613798.1521	295	B.C.		-294	5	4	5	4	5	4	0	0
1614064.1035	294	B.C.		-293	1	25	1	25	1	25	0	0
1614891.1507	292	B.C.		-291	5	1	5	1	5	1	0	0
1614950.1729	292	B.C.		-291	6	29	6	29	6	29	0	0
1615008.1521	292	B.C.		-291	8	26	8	27	8	26	0	-1
1615659.1674	290	B.C.		-289	6	8	6	8	6	8	0	0
1616750.1653	287	B.C.		-286	6	3	6	4	6	4	+1	0
1617638.0924	285	B.C.		-284	11	7	11	7	11	6	-1	-1
1617992.0993	284	B.C.		-283	10	27	10	27	10	27	0	0
1618730.0944	282	B.C.		-281	11	4	11	4	11	4	0	0
1619969.1354	278	B.C.		-277	3	27	3	28	3	28	+1	0
1619999.1486	278	B.C.		-277	4	26	4	26	4	26	0	0
1620028.1618	278	B.C.		-277	5	25	5	26	5	26	+1	0
1621682.0840	274	B.C.		-273	12	4	12	4	12	4	0	0
1624193.1056	267	B.C.		-266	10	19	10	19	10	19	0	0
1624223.0875	267	B.C.		-266	11	18	11	18	11	18	0	0
1624902.1243	265	B.C.		-264	9	27	9	27	9	26	-1	-1
1628003.1347	256	B.C.		-255	3	25	3	25	3	25	0	0
1628179.1333	256	B.C.		-255	9	17	9	17	9	17	0	0
1629656.1188	252	B.C.		-251	10	3	10	3	10	3	0	0
1629804.1236	251	B.C.		-250	2	28	2	28	2	28	0	0
1630334.1618	250	B.C.		-249	8	12	8	13	8	13	+1	0
1631221.0979	247	B.C.		-246	1	15	1	15	1	15	0	0
1631310.1431	247	B.C.		-246	4	14	4	14	4	14	0	0
1631339.1563	247	B.C.		-246	5	13	5	14	5	14	+1	0
1631487.1146	247	B.C.		-246	10	8	10	8	10	8	0	0
1631694.1514	246	B.C.		-245	5	3	5	3	5	3	0	0
1631753.1736	246	B.C.		-245	7	1	7	1	7	1	0	0
1634677.1736	238	B.C.		-237	7	3	7	3	7	3	0	0
1634706.1681	238	B.C.		-237	8	1	8	1	8	1	0	0
1635857.1264	235	B.C.		-234	9	25	9	26	9	26	+1	0
1635916.0854	235	B.C.		-234	11	23	11	24	11	24	+1	0
1636005.1194	234	B.C.		-233	2	20	2	20	2	20	0	0
1636034.1333	234	B.C.		-233	3	21	3	21	3	21	0	0
1636595.1194	233	B.C.		-232	10	2	10	3	10	3	+1	0
1636744.1236	232	B.C.		-231	2	28	2	28	2	28	0	0
1638899.1028	226	B.C.		-225	1	23	1	23	1	23	0	0
1641734.0986	219	B.C.		-218	10	28	10	28	10	28	0	0
1641852.1208	218	B.C.		-217	2	23	2	23	2	23	0	0
1644539.1736	211	B.C.		-210	7	3	7	3	7	4	+1	+1
1644864.1611	210	B.C.		-209	5	24	5	24	5	24	0	0
1645543.1389	208	B.C.		-207	4	2	4	2	4	2	0	0
1645572.1514	208	B.C.		-207	5	1	5	1	5	1	0	0
1647256.0840	204	B.C.		-203	12	10	12	10	12	10	0	0
1647994.0854	202	B.C.		-201	12	18	12	18	12	18	0	0
1648083.1313	201	B.C.		-200	3	16	3	16	3	16	0	0
1648910.1722	199	B.C.		-198	6	21	6	21	6	21	0	0
1649175.1299	198	B.C.		-197	3	13	3	14	3	14	+1	0
1649382.1160	198	B.C.		-197	10	6	10	7	10	7	+1	0
1649412.0938	198	B.C.		-197	11	5	11	5	11	5	0	0
1649501.1090	197	B.C.		-196	2	2	2	2	2	2	0	0
1650150.0896	196	B.C.		-195	11	12	11	12	11	12	0	0
1650210.0958	195	B.C.		-194	1	11	1	11	1	11	0	0
1650357.1674	195	B.C.		-194	6	7	6	7	6	7	0	0
1650474.1194	195	B.C.		-194	10	2	10	3	10	3	+1	0
1650682.1493	194	B.C.		-193	4	28	4	28	4	28	0	0
1650711.1632	194	B.C.		-193	5	27	5	28	5	28	+1	0
1650859.1028	194	B.C.		-193	10	22	10	22	10	22	0	0

Comparison of First Lunar Crescents: -192 to -73 (105 dates)

JD (UT)	Year		Year		Anderlič		Anderlič (n)		Fatoohi		Delta Day
	Historical		Astronom.		Month	Day	Month	Day	Month	Day		(n)
1650947.0993	193	B.C.		-192	1	18	1	19	1	19	+1	0
1650977.1174	193	B.C.		-192	2	17	2	17	2	17	0	0
1651007.1326	193	B.C.		-192	3	18	3	18	3	18	0	0
1651184.1382	193	B.C.		-192	9	11	9	11	9	11	0	0
1651744.1354	191	B.C.		-190	3	25	3	26	3	26	+1	0
1651803.1611	191	B.C.		-190	5	23	5	24	5	24	+1	0
1652307.1139	190	B.C.		-189	10	9	10	9	10	9	0	0
1652336.0924	190	B.C.		-189	11	7	11	8	11	7	0	-1
1652483.1389	189	B.C.		-188	4	2	4	2	4	2	0	0
1653045.1069	188	B.C.		-187	10	16	10	16	10	16	0	0
1653074.0882	188	B.C.		-187	11	14	11	15	11	14	0	-1
1653546.1243	186	B.C.		-185	3	1	3	2	3	2	+1	0
1654344.1542	184	B.C.		-183	5	7	5	7	5	7	0	0
1654433.1660	184	B.C.		-183	8	4	8	4	8	4	0	0
1654521.0958	184	B.C.		-183	10	31	10	31	10	31	0	0
1654993.1167	182	B.C.		-181	2	15	2	15	2	15	0	0
1655761.1347	180	B.C.		-179	3	24	3	24	3	24	0	0
1655879.1715	180	B.C.		-179	7	20	7	20	7	20	0	0
1656262.1646	179	B.C.		-178	8	7	8	8	8	8	+1	0
1656292.1424	179	B.C.		-178	9	6	9	6	9	6	0	0
1656321.1167	179	B.C.		-178	10	5	10	6	10	6	+1	0
1657030.1361	177	B.C.		-176	9	13	9	13	9	13	0	0
1657060.1097	177	B.C.		-176	10	13	10	13	10	13	0	0
1657267.1542	176	B.C.		-175	5	8	5	9	5	9	+1	0
1657474.0840	176	B.C.		-175	12	1	12	1	12	1	0	0
1658183.0903	174	B.C.		-173	11	10	11	10	11	10	0	0
1658212.0840	174	B.C.		-173	12	9	12	9	12	9	0	0
1658271.1111	173	B.C.		-172	2	6	2	6	2	6	0	0
1659186.1632	171	B.C.		-170	8	9	8	10	8	9	0	-1
1659247.1132	171	B.C.		-170	10	9	10	9	10	8	-1	-1
1659276.0917	171	B.C.		-170	11	7	11	7	11	7	0	0
1659364.1097	170	B.C.		-169	2	3	2	3	2	3	0	0
1659452.1514	170	B.C.		-169	5	2	5	2	5	2	0	0
1659925.1576	169	B.C.		-168	8	17	8	17	8	17	0	0
1660043.0847	169	B.C.		-168	12	13	12	13	12	13	0	0
1661313.1674	165	B.C.		-164	6	5	6	5	6	5	0	0
1661431.1194	165	B.C.		-164	10	31	11	1	10	31	0	-1
1661637.1486	164	B.C.		-163	4	25	4	25	4	25	0	0
1661667.1625	164	B.C.		-163	5	25	5	25	5	26	+1	+1
1661844.0868	164	B.C.		-163	11	18	11	19	11	19	+1	0
1661962.1313	163	B.C.		-162	3	16	3	16	3	16	0	0
1662110.1625	163	B.C.		-162	8	11	8	12	8	11	0	-1
1662140.1389	163	B.C.		-162	9	10	9	10	9	10	0	0
1662523.1229	162	B.C.		-161	9	28	9	29	9	29	+1	0
1663527.1729	159	B.C.		-158	6	28	6	29	6	29	+1	0
1663586.1514	159	B.C.		-158	8	26	8	26	8	26	0	0
1664413.0840	157	B.C.		-156	11	30	12	1	12	1	+1	0
1664827.1000	155	B.C.		-154	1	18	1	18	1	18	0	0
1665979.1313	152	B.C.		-151	3	15	3	15	3	15	0	0
1666953.0889	150	B.C.		-149	11	14	11	14	11	14	0	0
1668104.0938	146	B.C.		-145	1	8	1	9	1	9	+1	0
1668134.1118	146	B.C.		-145	2	7	2	7	2	7	0	0
1668725.1299	145	B.C.		-144	9	20	9	20	9	21	+1	+1
1668755.1035	145	B.C.		-144	10	20	10	20	10	20	0	0
1668784.0868	145	B.C.		-144	11	18	11	18	11	18	0	0
1669050.1618	144	B.C.		-143	8	11	8	11	8	11	0	0
1669079.1396	144	B.C.		-143	9	9	9	9	9	9	0	0
1669109.1125	144	B.C.		-143	10	9	10	9	10	9	0	0
1669522.0847	143	B.C.		-142	11	26	11	26	11	26	0	0
1669700.1611	142	B.C.		-141	5	23	5	23	5	23	0	0
1669846.1076	142	B.C.		-141	10	16	10	17	10	17	+1	0
1670025.1431	141	B.C.		-140	4	12	4	12	4	12	0	0
1670113.1736	141	B.C.		-140	7	9	7	9	7	9	0	0
1670260.0840	141	B.C.		-140	12	3	12	3	12	3	0	0
1670319.1083	140	B.C.		-139	1	31	2	1	2	1	+1	0
1671383.0896	138	B.C.		-137	12	31	12	31	12	31	0	0
1671649.1278	137	B.C.		-136	9	22	9	22	9	22	0	0
1672417.0965	135	B.C.		-134	10	30	10	30	10	30	0	0
1672535.1222	134	B.C.		-133	2	25	2	25	2	25	0	0
1672711.1563	134	B.C.		-133	8	20	8	21	8	20	0	-1
1672741.1313	134	B.C.		-133	9	19	9	20	9	19	0	-1
1672771.1049	134	B.C.		-133	10	19	10	19	10	19	0	0
1672919.1313	133	B.C.		-132	3	15	3	15	3	15	0	0
1673125.1139	133	B.C.		-132	10	7	10	8	10	7	0	-1
1673509.0993	132	B.C.		-131	10	26	10	26	10	26	0	0
1674130.1736	130	B.C.		-129	7	9	7	9	7	9	0	0
1676107.0840	125	B.C.		-124	12	6	12	6	12	7	+1	+1
1676167.1104	124	B.C.		-123	2	4	2	4	2	4	0	0
1676285.1660	124	B.C.		-123	6	2	6	2	6	2	0	0
1677702.1458	120	B.C.		-119	4	19	4	19	4	19	0	0
1677761.1715	120	B.C.		-119	6	17	6	17	6	17	0	0
1678086.1549	119	B.C.		-118	5	8	5	8	5	8	0	0
1678618.1021	118	B.C.		-117	10	22	10	23	10	22	0	-1
1680596.1340	112	B.C.		-111	3	22	3	22	3	22	0	0
1680685.1715	112	B.C.		-111	6	19	6	19	6	19	0	0
1680745.1569	112	B.C.		-111	8	18	8	18	8	18	0	0
1682073.1410	108	B.C.		-107	4	7	4	7	4	7	0	0
1682811.1444	106	B.C.		-105	4	15	4	16	4	16	+1	0
1682841.1576	106	B.C.		-105	5	15	5	15	5	15	0	0
1682870.1701	106	B.C.		-105	6	13	6	14	6	13	0	-1
1682958.1396	106	B.C.		-105	9	9	9	9	9	9	0	0
1682987.1139	106	B.C.		-105	10	8	10	9	10	9	+1	0
1683313.1486	105	B.C.		-104	8	29	8	29	8	29	0	0
1686119.1535	97	B.C.		-96	5	5	5	5	5	5	0	0
1686502.1618	96	B.C.		-95	5	23	5	24	5	24	+1	0
1689485.1708	88	B.C.		-87	7	23	7	23	7	23	0	0
1689544.1292	88	B.C.		-87	9	20	9	20	9	20	0	0
1689721.1319	87	B.C.		-86	3	16	3	16	3	17	+1	+1
1689957.0917	87	B.C.		-86	11	7	11	7	11	7	0	0
1690932.1736	84	B.C.		-83	7	9	7	9	7	9	0	0
1693088.1667	78	B.C.		-77	6	4	6	4	6	4	0	0
1693147.1667	78	B.C.		-77	8	2	8	2	8	2	0	0
1693177.1465	78	B.C.		-77	9	1	9	1	9	1	0	0
1693236.0965	78	B.C.		-77	10	30	10	30	10	30	0	0
1694594.1722	74	B.C.		-73	7	19	7	19	7	19	0	0

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