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Astronomy Explained Upon Sir Isaac Newton's Principles / And made easy to those who have not studied mathematics cover

Astronomy Explained Upon Sir Isaac Newton's Principles / And made easy to those who have not studied mathematics

Chapter 63: Table XVIII. Lunations from 1 to 100000.
By James Ferguson
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Science - Physics

About This Book

Aimed at readers without advanced mathematics, the author presents Newtonian astronomy in clear, practical terms, describing the solar system’s arrangement and demonstrating the Copernican model. Chapters explain planetary motions and phases, refute older geocentric ideas, and explore gravity as the physical cause of orbital behavior. The text treats light, refraction, atmospheric effects, and methods for measuring distances, time, and longitude, and it analyzes tides, eclipses, and the apparent motions of stars from different vantage points. Practical aids include tables, catalogs of eclipses, and descriptions of instruments and orreries used to illustrate the concepts.

Hours. Mot. & Ano.
° ʹ ʺ
ʹ ʹ ʺ ʺʹ
ʺ ʺ ʺʹ ʺʺ
1 0 2 28
2 0 4 56
3 0 7 24
4 0 9 51
5 0 12 19
6 0 14 47
7 0 17 15
8 0 19 43
9 0 22 11
10 0 24 38
11 0 27 6
12 0 29 34
13 0 32 2
14 0 34 30
15 0 36 58
16 0 39 26
17 0 41 53
18 0 44 21
19 0 46 49
20 0 49 17
21 0 51 45
22 0 54 13
23 0 56 40
24 0 59 8
25 1 1 36
26 1 4 4
27 1 6 32
28 1 9 0
29 1 11 28
30 1 13 55
31 1 16 23
32 1 18 51
33 1 21 19
34 1 23 47
35 1 26 15
36 1 28 42
37 1 31 10
38 1 33 38
39 1 36 6
40 1 38 34
41 1 41 2
42 1 43 30
43 1 45 57
44 1 48 25
45 1 50 53
46 1 53 21
47 1 55 49
48 1 58 17
49 2 0 44
50 2 3 12
51 2 5 40
52 2 8 8
53 2 10 36
54 2 13 4
55 2 15 32
56 2 17 59
57 2 20 27
58 2 22 55
59 2 25 23
60 2 27 51

In Leap-years, after February, add one Day and one Day’s motion.

Table XVII. The Sun’s Declination in every Degree of the Ecliptic.

Signs ♈   ♎ ♉   ♏ ♊   ♐  
0 6 1 7 2 8
Nor. Sou. Nor. Sou. Nor. Sou.
° ° ʹ ʺ ° ʹ ʺ ° ʹ ʺ °
0 0 0 0 11 29 33 20 11 16 30
1 0 23 54 11 50 35 20 23 49 29
2 0 47 48 12 11 26 20 36 0 28
3 1 11 42 12 32 5 20 47 48 27
4 1 35 34 12 52 31 20 59 13 26
5 1 59 25 13 12 44 21 10 15 25
6 2 23 14 13 32 54 21 20 53 24
7 2 47 1 13 52 32 21 31 7 23
8 3 10 45 14 12 5 21 40 58 22
9 3 34 26 14 31 24 21 50 24 21
10 3 58 4 14 50 28 21 59 25 20
11 4 21 38 15 9 17 22 8 2 19
12 4 45 8 15 27 51 22 16 14 18
13 5 8 34 15 46 9 22 24 0 17
14 5 31 55 16 4 11 22 31 21 16
15 5 55 11 16 21 57 22 38 16 15
16 6 18 21 16 39 26 22 44 45 14
17 6 41 25 16 56 37 22 50 49 13
18 7 4 23 17 13 31 22 56 26 12
19 7 27 15 17 30 7 23 1 36 11
20 7 50 0 17 46 15 23 6 20 10
21 8 12 36 18 2 24 23 10 38 9
22 8 35 5 18 18 3 23 14 29 8
23 8 57 26 18 33 24 23 17 52 7
24 9 19 39 18 48 25 23 20 49 6
25 9 41 43 19 3 5 23 23 19 5
26 10 3 37 19 17 26 23 25 22 4
27 10 25 21 19 31 25 23 26 57 3
28 10 46 56 19 45 3 23 28 5 2
29 11 8 20 19 58 20 23 28 46 1
30 11 29 33 20 11 16 23 29 0 0
Signs ♓   ♍ ♒   ♌ ♑   ♋  
1 5 10 4 9 3
Sou. Nor. Sou. Nor. Sou. Nor.

If the Sun’s place be taken from the Tables on pag. 114 and 115, his declination may be had thereby, near enough for common use, from this Table, by entering it with the signs at the head and degrees at the left hand; or with the signs at the foot and degrees at the right hand. Thus, March the 5th, the Sun’s place is ♓ 14° 53ʹ (call it 15°, being so near) to which answers 5° 55ʹ 11ʺ of the south declination.

Table XVIII. Lunations from 1 to 100000.

Lunat. Days. H. M. S.
1 Contain 29 12 44 3
2 59 1 28 6
3 88 14 12 9
4 118 2 56 13
5 147 15 40 16
6 177 4 24 19
7 206 17 8 22
8 236 5 52 25
9 265 18 36 28
10 295 7 20 31
20 590 14 41 3
30 885 22 1 34
40 1181 5 22 6
50 1476 12 42 37
60 1771 20 3 9
70 2067 3 23 40
80 2362 10 44 12
90 2657 18 4 43
100 2953 1 25 15
200 5906 2 50 30
300 8859 4 15 45
400 11812 5 41 0
500 14765 7 6 15
600 17718 8 31 30
700 20671 9 56 45
800 23624 11 22 0
900 26577 12 47 15
1000 29530 14 12 30
2000 59061 4 25 0
3000 88591 18 37 30
4000 118122 8 50 0
5000 147652 23 2 30
6000 177183 13 15 0
7000 206714 3 27 30
8000 236244 17 40 0
9000 265775 7 52 30
10000 295305 22 5  
20000 590611 20 10  
30000 885917 18 15  
40000 1181223 16 20  
50000 1476529 14 25  
60000 1771835 12 30  
70000 2067141 10 35  
80000 2362447 8 40  
90000 2657753 6 45  
100000 2953059 4 50  

By comparing this Table with the Table on page 113, it is easy to find how many Lunations are contained in any given number of Sidereal, Julian, and Solar years, from 1 to 8000.