Table IV. The mean Full Moons, &c. in March to the New Style.
| Years of Christ. |
Mean time of Full Moon in March. |
The Sun’s mean Anomaly. |
The Moon’s mean Anomaly. |
The Sun’s distance from the Node. |
The Sun’s Longitude from Aries. |
The Node’s Longitude from Aries. |
| D. |
H. |
M. |
s |
° |
ʹ |
s |
° |
ʹ |
s |
° |
ʹ |
s |
° |
ʹ |
s |
° |
ʹ |
| 1753 |
18 |
23 |
18 |
7 |
18 |
35 |
7 |
25 |
21 |
4 |
19 |
4 |
11 |
27 |
8 |
7 |
8 |
4 |
| 1754 |
8 |
8 |
17 |
7 |
7 |
53 |
6 |
5 |
10 |
4 |
27 |
7 |
11 |
16 |
26 |
6 |
19 |
18 |
| 1755 |
27 |
5 |
49 |
8 |
26 |
14 |
5 |
10 |
46 |
6 |
5 |
49 |
0 |
4 |
49 |
5 |
29 |
0 |
| 1756 |
15 |
14 |
38 |
8 |
15 |
30 |
3 |
20 |
35 |
6 |
13 |
52 |
11 |
24 |
6 |
5 |
10 |
14 |
| 1757 |
4 |
23 |
27 |
8 |
4 |
36 |
2 |
0 |
23 |
6 |
21 |
55 |
11 |
13 |
23 |
4 |
21 |
27 |
| 1758 |
23 |
20 |
59 |
8 |
23 |
8 |
1 |
5 |
59 |
8 |
0 |
38 |
0 |
1 |
46 |
4 |
1 |
9 |
| 1759 |
13 |
5 |
47 |
8 |
12 |
25 |
11 |
15 |
48 |
8 |
8 |
41 |
11 |
21 |
3 |
3 |
12 |
22 |
| 1760 |
1 |
14 |
36 |
8 |
1 |
41 |
9 |
25 |
37 |
8 |
16 |
44 |
11 |
10 |
20 |
2 |
23 |
35 |
| 1761 |
20 |
12 |
9 |
8 |
20 |
2 |
9 |
1 |
13 |
9 |
25 |
27 |
11 |
28 |
43 |
2 |
3 |
16 |
| 1762 |
9 |
20 |
57 |
8 |
9 |
19 |
7 |
11 |
2 |
10 |
3 |
31 |
11 |
18 |
0 |
1 |
14 |
29 |
| 1763 |
28 |
18 |
30 |
8 |
27 |
40 |
6 |
16 |
38 |
11 |
12 |
13 |
0 |
6 |
23 |
0 |
24 |
11 |
| 1764 |
17 |
3 |
19 |
8 |
16 |
56 |
4 |
26 |
26 |
11 |
20 |
16 |
11 |
25 |
40 |
0 |
5 |
24 |
| 1765 |
6 |
12 |
8 |
8 |
6 |
13 |
3 |
6 |
15 |
11 |
28 |
19 |
11 |
14 |
57 |
11 |
16 |
38 |
| 1766 |
25 |
9 |
40 |
8 |
24 |
34 |
2 |
11 |
52 |
1 |
7 |
1 |
0 |
3 |
20 |
10 |
26 |
20 |
| 1767 |
18 |
18 |
29 |
8 |
13 |
50 |
0 |
21 |
41 |
1 |
15 |
4 |
11 |
22 |
37 |
10 |
7 |
33 |
| 1768 |
3 |
3 |
17 |
8 |
3 |
6 |
11 |
1 |
29 |
1 |
23 |
7 |
11 |
11 |
54 |
9 |
18 |
46 |
| 1769 |
22 |
0 |
50 |
8 |
21 |
28 |
10 |
7 |
5 |
3 |
1 |
49 |
0 |
0 |
17 |
8 |
28 |
28 |
| 1770 |
11 |
9 |
39 |
8 |
15 |
45 |
8 |
16 |
54 |
3 |
9 |
52 |
11 |
19 |
34 |
8 |
9 |
42 |
| 1771 |
30 |
7 |
11 |
8 |
29 |
6 |
7 |
22 |
30 |
4 |
18 |
36 |
0 |
7 |
57 |
7 |
19 |
21 |
| 1772 |
18 |
16 |
0 |
8 |
18 |
22 |
6 |
2 |
18 |
4 |
26 |
39 |
11 |
27 |
14 |
7 |
0 |
35 |
| 1773 |
8 |
0 |
48 |
8 |
7 |
38 |
4 |
12 |
7 |
5 |
4 |
42 |
11 |
16 |
31 |
6 |
11 |
49 |
| 1774 |
26 |
22 |
21 |
8 |
26 |
0 |
3 |
17 |
43 |
6 |
13 |
24 |
0 |
4 |
54 |
5 |
21 |
31 |
| 1775 |
16 |
7 |
10 |
8 |
15 |
16 |
1 |
27 |
31 |
6 |
21 |
27 |
11 |
24 |
11 |
5 |
2 |
44 |
| 1776 |
4 |
15 |
58 |
8 |
4 |
32 |
0 |
7 |
20 |
6 |
29 |
30 |
11 |
13 |
28 |
4 |
13 |
58 |
| 1777 |
23 |
13 |
31 |
8 |
22 |
54 |
11 |
12 |
56 |
8 |
8 |
13 |
0 |
1 |
51 |
3 |
23 |
39 |
| 1778 |
12 |
22 |
20 |
8 |
12 |
10 |
9 |
22 |
45 |
8 |
16 |
16 |
11 |
21 |
8 |
3 |
4 |
52 |
| 1779 |
2 |
7 |
8 |
8 |
1 |
26 |
8 |
2 |
34 |
8 |
24 |
19 |
11 |
10 |
25 |
2 |
16 |
5 |
| 1780 |
20 |
4 |
41 |
8 |
19 |
48 |
7 |
8 |
10 |
10 |
3 |
1 |
11 |
28 |
48 |
1 |
25 |
47 |
| 1781 |
9 |
13 |
30 |
8 |
9 |
4 |
5 |
17 |
59 |
10 |
11 |
4 |
11 |
18 |
5 |
1 |
7 |
0 |
| 1782 |
28 |
11 |
2 |
8 |
27 |
28 |
4 |
23 |
34 |
11 |
19 |
47 |
0 |
6 |
27 |
0 |
16 |
41 |
| 1783 |
17 |
19 |
51 |
8 |
16 |
44 |
3 |
3 |
23 |
11 |
27 |
50 |
11 |
25 |
44 |
11 |
27 |
54 |
| 1784 |
6 |
4 |
40 |
8 |
5 |
59 |
1 |
13 |
12 |
0 |
5 |
53 |
11 |
15 |
1 |
11 |
9 |
7 |
| 1785 |
25 |
2 |
12 |
8 |
24 |
20 |
0 |
18 |
48 |
1 |
14 |
36 |
0 |
3 |
24 |
10 |
18 |
48 |
| 1786 |
14 |
11 |
1 |
8 |
13 |
36 |
10 |
28 |
37 |
1 |
22 |
39 |
11 |
22 |
41 |
10 |
0 |
2 |
| 1787 |
3 |
19 |
49 |
8 |
2 |
52 |
9 |
8 |
25 |
2 |
0 |
42 |
11 |
11 |
58 |
9 |
11 |
15 |
| 1788 |
21 |
17 |
22 |
8 |
21 |
14 |
8 |
14 |
2 |
3 |
9 |
25 |
0 |
0 |
21 |
8 |
20 |
57 |
| 1789 |
11 |
2 |
11 |
8 |
10 |
30 |
6 |
23 |
51 |
3 |
17 |
28 |
11 |
19 |
38 |
8 |
2 |
10 |
| 1790 |
29 |
23 |
43 |
8 |
28 |
52 |
5 |
29 |
27 |
4 |
26 |
10 |
0 |
8 |
1 |
7 |
11 |
51 |
| 1791 |
19 |
8 |
32 |
8 |
18 |
8 |
4 |
9 |
15 |
5 |
4 |
13 |
11 |
27 |
17 |
6 |
23 |
4 |
| 1792 |
7 |
17 |
21 |
8 |
7 |
24 |
2 |
19 |
4 |
5 |
12 |
16 |
11 |
16 |
34 |
6 |
4 |
17 |
| 1793 |
26 |
14 |
53 |
8 |
25 |
46 |
1 |
24 |
40 |
6 |
20 |
59 |
0 |
4 |
58 |
5 |
13 |
59 |
| 1794 |
15 |
23 |
42 |
8 |
15 |
2 |
0 |
4 |
29 |
6 |
29 |
2 |
11 |
24 |
15 |
4 |
25 |
13 |
| 1795 |
5 |
8 |
30 |
8 |
4 |
18 |
10 |
14 |
17 |
7 |
7 |
5 |
0 |
13 |
32 |
4 |
6 |
26 |
| 1796 |
23 |
6 |
3 |
8 |
22 |
39 |
9 |
19 |
53 |
8 |
15 |
48 |
0 |
1 |
56 |
3 |
16 |
8 |
| 1797 |
12 |
14 |
52 |
8 |
11 |
55 |
7 |
29 |
42 |
8 |
23 |
50 |
11 |
21 |
13 |
2 |
27 |
23 |
| 1798 |
1 |
23 |
40 |
8 |
1 |
11 |
6 |
9 |
30 |
9 |
1 |
53 |
11 |
10 |
30 |
2 |
8 |
36 |
| 1799 |
20 |
21 |
13 |
8 |
19 |
33 |
5 |
15 |
6 |
10 |
10 |
36 |
11 |
28 |
53 |
1 |
18 |
18 |
| 1800 |
10 |
6 |
2 |
8 |
8 |
50 |
3 |
24 |
55 |
10 |
18 |
39 |
11 |
18 |
10 |
0 |
29 |
31 |
Tab. V. The first mean Conjunction of the Sun and Moon after a compleat Century, beginning with March, for 5000 years 10 days 7 hours 56 minutes (in which time there are just 61843 mean Lunations) with the mean Anomaly of the Sun and Moon, the Sun’s mean distance from the Ascending Node, and the mean Long. of the Sun and Node from the beginning of the sign Aries, at the times of all those mean Conjunctions.
| Centuries of Julian Years. |
First Conjunction after a Century. |
The Sun’s mean Anomaly. |
The Moon’s mean Anomaly. |
The Sun’s distance from the Node. |
The Sun’s Longitude from Aries. |
The Node’s Longitude from Aries. |
| D. |
H. |
M. |
s |
° |
ʹ |
s |
° |
ʹ |
s |
° |
ʹ |
s |
° |
ʹ |
s |
° |
ʹ |
| 100 |
4 |
8 |
11 |
0 |
3 |
21 |
8 |
15 |
22 |
4 |
19 |
27 |
0 |
5 |
2 |
4 |
14 |
25 |
| 200 |
8 |
16 |
22 |
0 |
6 |
42 |
5 |
0 |
44 |
9 |
8 |
55 |
0 |
10 |
4 |
8 |
28 |
51 |
| 300 |
13 |
0 |
33 |
0 |
10 |
3 |
1 |
16 |
6 |
1 |
28 |
22 |
0 |
15 |
6 |
1 |
13 |
16 |
| 400 |
17 |
8 |
43 |
0 |
13 |
24 |
10 |
1 |
28 |
6 |
17 |
49 |
0 |
20 |
8 |
5 |
27 |
41 |
| 500 |
21 |
16 |
54 |
0 |
16 |
46 |
6 |
16 |
50 |
11 |
7 |
16 |
0 |
25 |
10 |
10 |
12 |
6 |
| 600 |
26 |
1 |
5 |
0 |
20 |
7 |
3 |
2 |
12 |
3 |
26 |
44 |
1 |
0 |
12 |
2 |
26 |
32 |
| 700 |
0 |
20 |
32 |
11 |
24 |
22 |
10 |
21 |
45 |
7 |
15 |
31 |
0 |
6 |
7 |
7 |
9 |
24 |
| 800 |
5 |
4 |
43 |
11 |
27 |
43 |
7 |
7 |
7 |
0 |
4 |
58 |
0 |
11 |
9 |
11 |
23 |
49 |
| 900 |
9 |
12 |
54 |
0 |
1 |
4 |
3 |
22 |
29 |
4 |
24 |
25 |
0 |
16 |
12 |
4 |
8 |
13 |
| 1000 |
13 |
21 |
5 |
0 |
4 |
25 |
0 |
7 |
51 |
9 |
13 |
53 |
0 |
21 |
14 |
8 |
22 |
39 |
| 1100 |
18 |
5 |
16 |
0 |
7 |
46 |
8 |
23 |
13 |
2 |
3 |
20 |
0 |
26 |
16 |
1 |
7 |
4 |
| 1200 |
22 |
13 |
26 |
0 |
11 |
7 |
5 |
8 |
35 |
6 |
22 |
47 |
1 |
1 |
18 |
5 |
21 |
29 |
| 1300 |
26 |
21 |
37 |
0 |
14 |
28 |
1 |
23 |
57 |
11 |
12 |
15 |
1 |
6 |
20 |
10 |
5 |
55 |
| 1400 |
1 |
17 |
4 |
11 |
18 |
43 |
9 |
13 |
30 |
3 |
1 |
2 |
0 |
12 |
15 |
2 |
18 |
47 |
| 1500 |
6 |
1 |
15 |
11 |
22 |
4 |
5 |
28 |
52 |
7 |
20 |
29 |
0 |
17 |
17 |
7 |
3 |
12 |
| 1600 |
10 |
9 |
26 |
11 |
25 |
25 |
2 |
14 |
14 |
0 |
9 |
56 |
0 |
22 |
19 |
11 |
17 |
37 |
| 1700 |
14 |
17 |
37 |
11 |
28 |
46 |
10 |
29 |
36 |
4 |
29 |
23 |
0 |
27 |
22 |
4 |
2 |
2 |
| 1800 |
19 |
1 |
48 |
0 |
2 |
8 |
7 |
14 |
58 |
9 |
18 |
51 |
1 |
2 |
24 |
8 |
16 |
27 |
| 1900 |
23 |
9 |
58 |
0 |
5 |
29 |
4 |
0 |
20 |
2 |
8 |
18 |
1 |
7 |
26 |
1 |
0 |
52 |
| 2000 |
27 |
18 |
9 |
0 |
8 |
50 |
0 |
15 |
42 |
6 |
27 |
45 |
1 |
12 |
28 |
5 |
15 |
17 |
| 2100 |
2 |
13 |
36 |
11 |
13 |
5 |
8 |
5 |
15 |
10 |
16 |
32 |
0 |
18 |
24 |
9 |
28 |
8 |
| 2200 |
6 |
21 |
47 |
11 |
16 |
26 |
4 |
20 |
37 |
3 |
6 |
0 |
0 |
23 |
26 |
2 |
12 |
34 |
| 2300 |
11 |
5 |
58 |
11 |
19 |
47 |
1 |
5 |
59 |
7 |
25 |
27 |
0 |
28 |
28 |
6 |
26 |
59 |
| 2400 |
15 |
14 |
9 |
11 |
23 |
8 |
9 |
21 |
21 |
0 |
14 |
54 |
1 |
3 |
30 |
11 |
11 |
24 |
| 2500 |
19 |
22 |
20 |
11 |
26 |
29 |
6 |
6 |
43 |
5 |
4 |
11 |
1 |
8 |
32 |
3 |
25 |
49 |
| 2600 |
24 |
6 |
31 |
11 |
29 |
50 |
2 |
22 |
4 |
9 |
23 |
49 |
1 |
13 |
35 |
8 |
10 |
14 |
| 2700 |
28 |
14 |
41 |
0 |
3 |
11 |
11 |
17 |
26 |
2 |
13 |
16 |
1 |
18 |
37 |
0 |
24 |
39 |
| 2800 |
3 |
10 |
8 |
11 |
7 |
26 |
6 |
26 |
59 |
6 |
2 |
3 |
0 |
24 |
31 |
5 |
7 |
33 |
| 2900 |
7 |
18 |
19 |
11 |
10 |
47 |
3 |
12 |
21 |
10 |
21 |
30 |
0 |
29 |
33 |
9 |
21 |
58 |
| 3000 |
12 |
2 |
30 |
11 |
14 |
8 |
11 |
27 |
43 |
3 |
10 |
58 |
1 |
4 |
35 |
2 |
6 |
23 |
| 3100 |
16 |
10 |
41 |
11 |
17 |
30 |
8 |
13 |
5 |
8 |
10 |
25 |
1 |
9 |
37 |
6 |
20 |
48 |
| 3200 |
20 |
18 |
52 |
11 |
20 |
51 |
4 |
28 |
27 |
0 |
19 |
52 |
1 |
14 |
39 |
11 |
5 |
13 |
| 3300 |
25 |
3 |
3 |
11 |
24 |
11 |
1 |
13 |
49 |
5 |
9 |
20 |
1 |
19 |
41 |
3 |
19 |
39 |
| 3400 |
29 |
11 |
14 |
11 |
27 |
32 |
9 |
29 |
11 |
9 |
28 |
47 |
1 |
24 |
43 |
8 |
4 |
4 |
| 3500 |
4 |
6 |
41 |
11 |
1 |
47 |
5 |
18 |
44 |
1 |
17 |
34 |
1 |
0 |
41 |
0 |
16 |
53 |
| 3600 |
8 |
14 |
52 |
11 |
4 |
58 |
2 |
4 |
6 |
6 |
7 |
1 |
1 |
5 |
42 |
5 |
1 |
19 |
| 3700 |
12 |
23 |
3 |
11 |
8 |
9 |
10 |
19 |
28 |
10 |
26 |
28 |
1 |
10 |
43 |
9 |
15 |
45 |
| 3800 |
17 |
7 |
14 |
11 |
11 |
20 |
7 |
4 |
50 |
3 |
15 |
55 |
1 |
15 |
45 |
2 |
0 |
10 |
| 3900 |
21 |
15 |
25 |
11 |
14 |
31 |
4 |
20 |
12 |
8 |
5 |
22 |
1 |
20 |
47 |
6 |
14 |
35 |
| 4000 |
25 |
23 |
36 |
11 |
17 |
42 |
1 |
5 |
34 |
0 |
24 |
49 |
1 |
25 |
49 |
10 |
29 |
0 |
| 4100 |
0 |
19 |
3 |
10 |
22 |
56 |
8 |
25 |
7 |
4 |
13 |
36 |
1 |
0 |
45 |
3 |
12 |
51 |
| 4200 |
5 |
3 |
14 |
10 |
26 |
17 |
5 |
10 |
29 |
9 |
3 |
3 |
1 |
6 |
47 |
7 |
6 |
16 |
| 4300 |
9 |
11 |
25 |
10 |
29 |
37 |
1 |
25 |
51 |
1 |
12 |
30 |
1 |
11 |
48 |
11 |
25 |
39 |
| 4400 |
13 |
19 |
36 |
11 |
2 |
58 |
10 |
11 |
13 |
6 |
1 |
57 |
1 |
16 |
51 |
4 |
10 |
4 |
| 4500 |
18 |
3 |
46 |
11 |
6 |
18 |
6 |
26 |
35 |
10 |
21 |
24 |
1 |
21 |
53 |
8 |
29 |
31 |
| 4600 |
22 |
11 |
57 |
11 |
9 |
39 |
3 |
11 |
15 |
3 |
10 |
51 |
1 |
26 |
55 |
1 |
13 |
56 |
| 4700 |
26 |
20 |
7 |
11 |
12 |
59 |
11 |
27 |
19 |
8 |
0 |
16 |
2 |
1 |
57 |
5 |
28 |
19 |
| 4800 |
1 |
15 |
34 |
10 |
17 |
14 |
7 |
16 |
52 |
11 |
19 |
4 |
1 |
7 |
53 |
10 |
11 |
11 |
| 4900 |
5 |
23 |
45 |
10 |
20 |
35 |
4 |
2 |
14 |
4 |
8 |
30 |
1 |
12 |
55 |
2 |
25 |
35 |
| 5000 |
10 |
7 |
56 |
10 |
23 |
56 |
0 |
17 |
36 |
8 |
27 |
57 |
1 |
17 |
57 |
7 |
10 |
0 |
Table VI. The mean Anomaly of the Sun and Moon, the Sun’s mean distance from the Ascending Node, with the mean Longitude of the Sun and Node from the beginning of the Sign Aries, for 13 mean Lunations.