For reducing the Sun's Declination, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under any other Meridian.

Add aft. N.
Sub. bef. N.
Add in W.
Sub. in E.

Days.

Sub. aft. N.
Add bef. N.
Sub. in W.
Add in E.
Days.

H.MH. M.H. M.H. M. H. M.H. M.JH. M.
10 10. 2
20.
0. 4011. 011. 2011. 4012. 0
150 155 160 165 170 175 180
Deg Deg. Deg. Deg. Deg. Deg. Deg.
M.S.M. S.M. S. M. S. M. S. M. S. M. S.

Decemb.21 Decemb. 210. o o. o 0. 0 0. 0
22 0.II 0.11 0.12 0.12

20

19

18

17

16

15

14

13

12

2

Decemb. 1
Novemb.30

29

28

27 26

25

7

6

23 0.22 0.23 0.24 0.24
24 0.33 0.34 0.35 0.36
25 0.44 0.46 0.47 0.48
26 0.55 0.57 0.58 1. o
27 1.6 1. 8 1.11 1.13
28 1.17 1.20 1.23 1.25
29 1.28 1.31 1.34 1.37
30 1.39 1.42 1.45 1.49
11 Decemb. 31 1.50 1.54 1.57 2. 1
10 January 12. I 2.5 2.9 2.13
22.12 2.16 2.20 2.25
32.23 2.27 2.32 2.37
42.34 2.39 2.44 2.49
5 2.44 2.50 2.55 3. o
62.55 3. 1 3. 6 3.12
3. 5 3.11 3.17 3.23
83.15 3.21 3.28 3.34
3.25 3.32 3.38 3.45
10 3.35 3.42 3.49 3.56
113.45 3.52 3.59 4. 7
12 3.55 4. 3 4.10 4.18
134. 5 4.13 4.21 4.29
144.15 4.23 4.31 4.40
15 4.24 4.33 4.41 4.50
16 4.34 4.43 4.52 5. 1
17 4.43 4.53 5. 2 5.11
184.52 5. 2 5.12 5.22
5. 1 5.12 5.22 5.32
19
5.10 5.21 5.31 5.42
5.20 5.31 5.41 5.52
22 5.29 5.40 5.51 6. 2
23 5.37 5.49 6. o 6.11
24 5.45 5.57 6. 9 6.20
25 5.54 6. 6 6.17 6.29
26 6. 2 6.14 6.26 6.38
6.10 6.22 6.34 6.47
28 6.19 6.31 6.43 6.56
11 January 30 6.34 6.47 7. 0 7.13
9 February 16.49 7. 3 7.16 7.30
37. 3 7.17 7.31 7.45
57.16 7.31 7.45 8. o
77.29 7.44 7.59 8.14
97.41 7.56 8.12 8.27
117.53 8. 8 8.24 8.40
138. 4 8.20 8.36 8.53
15 8.15 8.32 8.48 9. 5
178.26 8.43 9. 09.17
20 8.40 8.57 9.14 9.32
238.52 9.10 9.28 9.46 10. 310.21 10.39 24
15 February 26 9. 4 9.22 9.40 9.58 10.16 10.34 10.53 27
12 March

1.15 1.17 1.19 27
1.27 1.30 1.32 28
1.40 1.43 1.46 29
1.52 1.55 1.59 36 June
2. 5 2.8 2.12 1 July
2.17 2.21 2.25 2
2.30 2.34 2.38 3
2.42 2.47 2.51 4
2.54 2.59 3. 4 5
3. 6 3.12 3.17
3.18 3.24 3.30 7
3.29 3.36 3.42 8
3.41 3.48 3.54 9
3.52 3.59 4. 610
4. 4 4.11 4.18 11
4.15 4.22 4.30 12
4.26 4.34 4.42 13
4.38 4.46 4.54 14
4.49 4.57 5. 515
4.59 5. 8 5.17 16
5.10 5.19 5.28 17
5.21 5.30 5.40 18
5.32 5.41 5.51 19
5.42 5.52 6. 2 20
5.53 6. 3 6.13 21
6. 3 6.14 6.24 22
6.13 6.24 6.34 23
6.23 6.34 6.44 24
6.32 6.43 6.54 25
6.41 6.53 7. 426
6.51 7. 3 7.14 27
7. 0 7.12 7.24 28
. 9 7.22 7.3429
7.26 7.40 7.53 31 July
7.43 7.57 8.11 2 August
7.59 8.13 8.28 4
8.14 8.28 8.43 6
8.28 8.43 8.58 8
8.42 8.58 9.13 10
8.56 9.12 9.28 12
9. 9 9.25 9.42 14
9.21 9.38 9.54 16
9.34 9.50 10. 718
9.49 10. 610.24 21

19.15 9.33 9.51 10.10 10.29 10.47 11. 630 August
49.24 9.43 10. 110.20 10.39 10.58 11.16 2 Sept.
79.30 9.50 10. 910.28 10.4711. 611.24 5
10 9.37 9.56 10.16 10.35 10.5411.13 11.32 8
13 9.41 10. 010.21 10.40 10.59 11.18 11.38 11
169.45 10. 410.24 10.44 11. 311.2211.42 14
199.47 10. 610.26 10.46 11. 511.2411.44 17

9.48 10., 710.27 10.47 11. 611.25 11.45 Before

Days. 21 June

20

19
18

17

16

17

18

19

20

Days.

5

6

7

8

Sun's Right Ascension.

JAN. FEB. MAR. APR. MAY. JUNE. JULY. AUG. SEPT. k. m. h. m. h. m. h. m. h. m. h. m. h. m. h. m. 18.46 20.58 22.48 0.42 2.33 4.36 8.45 10.41 2 18.50 21. 2 22.52 0.46 2.37 4.40 18.55 21.6 22.56 0.49 2.41 4.44 6.48 18:59 21.10 23.00 0.53 2.45 4.48 6.53 19.4 21.14 23. 3 0.57 2.48 4.52 6.57 19. 8 21.19 23. 71. 02.52 4.56 7. I 19.12 21.23 23.111. 4 2.56 5. 1 7. 5 19.17 21.27 23.14 1. 73. 05. 57. 9 19.21 21.30 23.18 1.11 3. 4 5. 97.13 19.25 21.34 23.22 1.15 3.8 5.13 7.17 11 19.30 21.38 23.251.18 3.12 5.17 19.34 21.42 23.29 1.22 3.16 5.21 19.38 21.46 23.33 1.26 3.20 5.25 19.43 21.50 23.36 1.30 3.24 5.29 19.47 21.54 23.40 1.33 3.27 5.34 16 19.51 21.58 23.44 1.37 3.31 5.38 7.41 19.56 22.2 23.47 1.41 3.35 5.42 20. O 22.6 23.51 1.44 3.39 5.46 20. 4 22.10 23.55 1.48 3.43 5.50 20. 8 22.13 23.58 1.52 3.47 5.54

12

13

14

15

h. m.
6.40
6.44

Days.

2345

0. 21.55 3.51 5.59
0. 61.59 3.55 6. 3
2. 33.59 6. 7
2. 74. 36.11
0.17 2.10 4.7 6.15

8. 2 10. I 11.53

8.6
8.10

10. 4

11.57

13.43 15.47 17.57
13.47 15.51 18. 2

21

22

13.51 15.55 18. 6

23

8.14 10.12

12. 4

20.29 22.32 26 20.34 22.36 27 20.38 22.40 28 20.42 22.44 29 20.46 22.46 30 20.50

0.20 2.14 4.11 6.19
0.24 2.18 4.15 6.24
0.27 2.22 4.20 6.28
0.31 2.26 4.24 6.32
0.35 2.29 4.28 6.36
0.38
4.32

26

8.18 10.16 12. 713.58 16. 318.15
8.21 10.19 12.11 14. 2 16. 8 18.19
8.25 10.23 12.15 14. 6 16.12 18.24 27
8.29 10.27 12.18 14.10 16.16 18.28 28
8.33 10.30 12.22 14.14 16.21 18.33 29
8.37 10.34 12.26 14.18 16.25 18.37 30
8.41 10.37
14.21
18.42 31

This Table gives nearly the Sun's Right Ascension for the years 1833, 1834, 1835, and 1836, and is sufficiently exact for finding when any Star comes to the meridian. But in all calculations for determining the longitude by celestial observations, the Sun's Right Ascension must be taken from the Nautical Almanac, where it is calculated to a greater degree of accuracy.

TABLE VI. A.

Correction for the daily variation of the Equation of Time found in TABLE IV. A. Find the daily variation of Equation of Time at the top, the hour at Greenwich at the side.

123 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

243556/Hour.

3 3 4 4

34 4 4

5

2 23

2 33 2333

7

8 8 9 10 11 910 10 11 12 8 9 10 11 12 13 91011 11 12 13 14 15 16 17 18 18 19 20 21 22 23 24 25 25 26 315 910 11 12 13 14 15 16 17 1718 19 20 21 22 23 24 25 26 27 28 330 10 11 12 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 345 9101112131415|16|17|18|19|20|21|22|23|24|25|26|27|28|29|30|360

9

4 5 5 5 5

5 5 6 6 6 6 75

8888 105

99 10 10 120

88 8 99 91010111135

88

1010 101111 1212 13 150

8 8 9 9 10 10 11 11 11 12 12 13 13 14 165

9 91010111112 12 13 13 14 14 15 15 180

6

8

8

9

9 910 101111 12 12 13 14 14 15
910111112 12 13 13 14

15 16 16 195

15 15 16

16 17 18 210

18 18 19 225

19 19 20 240

60

Amplitudes.

I 02. 13. I

1

2

13.

I. 02. I

8.11

18.13
8.15

9.

Lat.

10

123456

78961D

10

II

3456760

D.M. D.M. D.M. D.M. D.M. D.M. D.M. D.M. D. M. D. M.D. M. D. M. D. M. D. M.D. M.D. M. D. M. D. M. D. M.D. M. D. M D. M. D. M. D. M.
I. 02. 03. 04. 05. 06. 07. 08. 0 9. 010. 0II. 012. 013. 014. 015. c16. 017. 018. 019. 020. 021. 022. 023. 023.28
I. 02. 03. 04. 05. 06. 07. 08. 0 9. 010. 011. 012. 013. 014. 115. 116. 117. 118. 119. 120. 121. 122. 123. 123.29
1. 02. 03. 04. 05. 06. 07. 18. I
9. 10. 11. 12. 113. 114. 115. 116. 117. 118. 219. 220. 221. 222. 223. 223.36
I. 02. 03. 이 15. 16. 17. I 18. 1
10. 11. 212. 213. 214. 215. 216. 2 318. 319. 320. 3 21. 322. 323. 423.32
1. 02. 03. 14.
15. 16. 17.
28. 2
9. 210. 211. 312. 313. 314. 315. 416. 417. 418. 419. 520. 521. 522. 523. 623.34
15. 26. 27. 28. 3 9. 310. 3 II. 412. 413. 414. 515, 516. 517. 618. 619. 720. 721. 722. 823. 823.36
26. 3 38. 49. 410. 511. 512. 5 13. 614. 615. 716. 717. 818. 819. 920. 921.10 22.10 23.11 23.39
36. 47. 48. 5 9. 510. 611. 12. 713. 814. 815. 916.10 17.10 18.11 19.12 20.12 21.13 22.1423.1423.43
13. 2 35. 46. 57. 58. 6 9. 710. 811
812. 9 13 .10 14.11 15.11 16.12 17.13 18.14 19.1520.16 21.16 22.1723.18 23.47
23. 34. 45. 56. 61 78. 7 9. 810. 911,1012.11 13.12 14. 1315.14 16.15 17.16 18.17 19.18 20.19 21.20 22.2123.23 23.51
23. 34. 45. 66. 77. 88. 9 9.10 10.1111. 12.14 13.15 14.16 15.17 16.18 17.20 18.21 19.22 20.23 21.25 22.26 23.27 23.56
33. 44. 55. 76. 8
9.12 10.14 11.1512.16 13.18 14.1915.21 16.22 17.24 18.25 19.26 20.28 21.30 22.31 23.33 24. 1 12
9.14 10.16 11.18 12.19 13.21 14.23 15.24 16.26 17.28 18.2919.31 20.33 21.35 22.37 23.38 24. 7 13
9.17 10.1911.2012.22 13.24 14.26 15.28 16.30 17.32 18.3419.36 20.38 21.40 22.43 23.45 24.14
9.1910.21 11.24 12.26 13.28 14.30 15.33 16.35 17.37 18.39 19.42 20.44 21.47 22.49 23.5224.21
53. 74.10 5.126.15
9.22 10.24 11.27 12.29 13.32 14.35 15.37 16.40 17.42 18.45 19.48 20.51 21.53 22.56 23.59 24.28
4.115.146.177
9.25 10.28 11.31 12.33 13.36 14.39 15.42 16.45 17.48 18.5119.54 20.57 22. 123. 424. 724.36
94.125.156.197.228.25 9.28 10.31 11.34 12.38 13.41 14.44 15.47 16.51 17.54 18.58 20. 121. 5 22. 823.1224.15 24.45
73.104.145.176.217.248.28 9.31 10.35 11.39 12.42 13.46 14.4915.53 16.57 18. 119. 520. 821.12 22.1623.20 24.25 24.54
155.196.237.278.31 9.35 10.39 11.43 12.47 13.51 14.55 15.59 17. 318. 819.12 20.16 21.21 22.25 23.30 24.3425. 4
3.134.175.216.267.308.34 9.39 10.43 11.48 12.52 13.57 15. 116. 17.10 18.15 19.2020.25 21.29 22.34 23.3924.45 25.15
3.144.195.246.287.338.38 9.43 10.48 11.53 12.57 14. 215. 16.13 17.18 18.23 19.28 20.33 21.39 22.44 23.50 24.55 25.26
2.103.164.215.266.317.368.42 9.47 10.52 11.58 13. 314. 915.14 16.20 17.25 18.31 19.37 20.4321.49 22.55 24. 125. 725.38
2.113.174.235.286.347.408.46 9.52 10.57 12. 313. 914.15 15.21 16.27 17.34 18.40 19.46 20.53 21.59 23. 624.13 25.1925.51
2.123.194.25 5.316.377.448.50 9.56 11.
13.16 14.22 15.29 16.36 17.42 18.4919.56 21. 322.10 23.18 24.25 25.32 26. 4
2.143.204.275.346.417.488.54 10. 111. 82.15 13.22 14.30 15.37 16.44 17.52 18.5920. 721.1422.22 23.30 24.38 25.4626.18
1. 72.153.224.295.376.447.52 8.59 10. 711.1412.22 13.30 14.3715.45 16.5318. 119. 920.18 21.2622.34 23.4324.5226. 126.33
163.244.325.406.487.569. 410.12 11.21 12.29 13.37 14.46 15.54 17. 318.11 19.20 20.29 21.38 22.47 23.57 25. 626.16 26.48
1. 92.173.264.34 5.436.528. 19. 2 10.1811.27 12.3613.45 14.5416. 317.1318.22 19.32 20.41 21.51 23. 1 24.1125.22 26.32 27.
1. 92.19
3:28 4.37 5.476.568. 59.15 10.24 11.3412.4413.53 15. 316.13 17.2318.34 19.44 20.54 22. 523.16 24.2725.38 26.4927.23
1,102.203.304.40 5.507. 08.109.21 10.3111.4112.52 14. 215.13 16.24 17.3418.45 19.5721. 822.1923.31 24.4325.5527. 727.41
1.112.223.324.43 5.547. 58.169.27 10.38 11.4913. 014.11 15.23 16.34 17.46 18.58 20.10 21.2222.35 23.47 25. 026.13 27.26 28. 0
1.122.233.354.46 5.587.108.219.33 10.45 11.5713. 914.21 15.34 16.46 17.5919.11 20.24 21.37 22.51 24. 4 25.18 26.32 27 46 28.21

53.

63.

12.

158.17

I 22.

8.19

.22

14

15

16

17

18

19

20

DECLINATION.

Amplitudes.

Lat.

38

41

46

47

48 1.

1

2

3

05

4 5 6

7

18 19 20

8 9 10 11 12 13 14 15 16. 17
D. M. D.
D.M. D.M.D.M. D.M. D. M.D. M.D. M.D. M. D. M. D. M. D. M. D. M. D. M.D. M.D. M.D. M. D. M. D. M. D. M. D. M. D. M. D. M. D. M. D. M.]
34° 1.122.253.374.50 6. 2 7.15 8.27 9.40 10.53 12.513.18 14.31 15.45 16.58 18.1119.25 20.39 21.53 23. 724.22 25.37 26.52 28. 728.42 34°
35 1.13 2.273.404.53 6. 6 7.20 8.33 9.47 11. 112.14 13.28 14.42 15.56 17.11 18.25 19.40 20.55 22.10 23.25 24.41 25.57 27.13 28.29 29. 5 35
36 1.142.283.434.57 6.11 7.25 8.40 9.54 11. 912.2413.39 14.54 16. 917.24 18.3919.55 21.1122.27 23.44 25. 1 26.18 27.35 28.53 29.29 36
37 1.152.303.455. 16.16 7.31 8.47 10. 211.18 12.33 13.49 15. 516.22 17.38 18.55 20.11 21.28 22.4624. 325.21 26.40 27.58 29.17 29.55 37
1.162.32 3.485. 5 6.21 7.378.54 10.10 11.27 12.44 14. 115.18 16.35 17.53 19.1620.28 21.47 23. 524.24 25.43 27. 328.23 29.44 30.21
39 1.172.343.525.9 6.26 7.44 9. 110.19 11.37 12.55 14.13 15.31 16.50 18. 8 19.27 20.46 22. 623.2624.46 26. 7 27.28 28.4930.1130.49 39
401.182.373.555.13 6.32 7.51 9. 910.28 11.4713. 614.25 15.45 17. 5 18.25 19.45 21. 5 22.26 23.4725. 926.31 27.54 29.1736.4031.19 40
1.202.393.595.18 6.38 7.58 9.18 10.38 11.58 13.18 14.39 15.59 17.20 18.42 20. 321.25 22.48 24.10 25.3326.57 28.21 29.4631.1131.51 41
42 1.212.424. 25.23 6.44 8. 5 9.26 10.48 12. 913.31 14.53 16.15 17.37 19. 020.23 21.46 23.10 24.34 25.59 27.24 28.50 30.1631.43 32.24 42
43 1.222.444. 65.28 6.51 8.13 9.36 10.58 12.21 13.44 15. 716.31 17.55 19.19 20.44 22. 823.3425.00 26.26 27.53 29.2030.49 32.1832.59 43
44 1.232.474.105.34 6.58 8.21 9.45 11. 912.34 13.58 15.23 16.48 18.13 19.3921. 522.32 23.59 25.2626.55 28.23 29.5331.2332.54 33.37 44
45 1.25 2.50 4.155.40 7. 5 8.30 9.55 11.21 12.47 14.13 15.39 17. 6 18.33 20.00 21.28 22.57 24.25 25.55 27.25 28.56 30.27 31.5933.33 34.16 45
1.262.534.195.46 7.12 8.39 10. 611.33 13. 114.29 15.57 17.25 18.54 20.23 21.53 23.23 24.53 26.25 27.57 29.30 31. 332.38 34.1434.59 46
1.282.564.245.52 7.21 8.49 10.18 11.46 13.16 14.45 16.15 17.45 19.16 20.47 22.18 23.50 25.23 26.57 28.31 30. 631.4233.1934.5735.43 47
1.302.594.295.59 7.29 8.59 10.30 12. 013.31 15. 216.3418. 619.39 21.12 22.45 24.20 25.55 27.30 29. 730.44 32.23 34. 335.4436.31 48
49 1.313. 34.356. 67.38 9.10 10.42 12.15 13.48 15.21 16.54 18.29 20. 321.38 23.14 24.51 26.28 28. 629.45 31.25 33. 734.49 36.3337.22
50 1.333. 74.406.14 7.48 9.2210.56 12.30 14. 515.40 17.16 18.52 20.2922. 723.45 25.24 27. 328.44 30.26 32. 933.5335.3937.26 38.17
51 1.353.114.466.22 7.58 9.3411.10 12.47 14.24 16. 117.39 19.17 20.57 22.36 24.1725.59 27.41 29.2531.932.55 34.43 36.32 38.23 39.15 51
1.373.154.536.30 8.8 9.4711.25 13. 414.43 16.23 18. 319.44 21.26 23. 824.52 26.36 28.21 30. 831.56 33.45 35.36 37.29 39.24 40.18 52
1.403.194.596.39 8.20 10. 011.41 13.22 15. 4 16.46 18.29 20.13 21.57 23.42 25.28 27.16 29. 430.54 32.45 34.38 36.33 38.3040.294r.26
541.42 3.245. 76.49 8.32 10.15 11.58 13.42 15.26 17.11 18.57 20.43 22.30 24.18 26. 727.58 29.50 31.43 33.38 35.35 37.34 39.3641.4042.39 54
1.453.295.146.59 8.44 10.30 12.16 14. 3 15.50 17.37 19.26 21.15 23. 524.57 26.49 28.43 30.39 32.3634.35 36.36 38.40 40.4742.5643.58 55
1.473.355.227.10 8.58 10.46 12.35 14.25 16.15 18. 519.57 21.50 23.43 25.38 27.34 29.32 31.31 33.33 35.36 37.42 39.5142. 444.2045.24 56
1.503.405.317.22 9.13 11. 412.56 14.48 16.42 18.36 20.30 22.26 24.2426.22 28.22 30.24 32.28 34.3436.43 38.54 41. 943.2745.50 46.59 57
1.533.475.407.34 9.28 11.2313.18 15.14 17.10 19. 821. 623. 625. 727.1029.1431.21 33.29 35.40 37.5440.12 42.3344.5947.30 48.43 58
1.573.535.507.47 9.45 11.43 13.41 15.41 17.41 19.42 21.45 23.49 25.54 28. 130.10 32.21 34.35 36.52 39.1241.37 44. 646.40 49.2150.38 59
2. 04. 06. 08. 1 10. 212. 414. 616.10 18.14 20.1922.26 24.34 26.44 28.56 31.10 33.27 35.47 38 1040.38 43.10 45.4748.3151.24 52.47 60
2. 44. 86.128.16 10.21 12.27 14.34 16.41 18.49 20.59 23.11 25.24 27.3929.5632.1634.39 37. 539.36 42.144.52 47.4050.3653.4255.13 61
62 2. 84.166.248.33 10.42 12.52 15. 317.15 19.2821.42 23.5926.17 28.38 31. 133.2735.57 38.31 41.1043.5446.46 49.46 52.5656.20 58. 1 62
63 2.124.256.378.50 11. 413.19 15.34 17.51 20. 922.29 24.5127.15 29.42 32.12 34.45 37.23 40. 542.54 45.49 48.53 52. 855.3659.2361.18 63
64 2.174.346.519. 9 11.28 13.48 16. 818.31 20.54 23.20 25.48 28.19 30.52 33.30 36.1138.58 41.50 44.49 47.5851.1754.50 58.4353. 265.17 64
2.224.447. 79.30 11.5414.1916.46 19.14 21.44 24.16 26.50 29.28 32.10 34.55 37.46 40.43 43.46 46.59 50.2354. 257.5962.2567.36 70.26 65
.284.557.249.53|12.2214.54|17.26 20. 1 22.37 25.16 27.59 30.45 33.35 36.30 39.31 42.40 45.57 49.27 53.1057.14 61.4667. 473.52 78.15 66

TABLE VIII.

Right Ascensions and Declinations of some of the principal Fixed Stars, adapted to the beginning of the Year 1830, with their Annual Variations.

Betergueze

a

5.45.58

3.24 7.22 N.

1.2