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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 48: Table IV. The mean Full Moons, &c. in March to the New Style.
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.

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.