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

20

19

18

17

16

14

13

12

5

4

3

2

December I
November 30

29

28

27

26

25

24

Days.

H.MH.MH.MH MH.MH.MH.M
5. 205. 406. 06. 206. 407. 07. 20
80 85 90 95 100 105 110
Deg. Deg. Deg. Deg. Deg. Deg. Deg.
M.S. M.S. M.S. M.S. M.S. M.S. M.S.

21.

December 21 December 210. 00. 00. 00. oo. oo. oo. 021 June
22 0. 50. 60. 60. 70. 80. 80. 8 22
23 0.110.120.130.14 0.150.150.16 23
24 0.170.190.200.21 0.220.230.24 24
25 0.23 0.25 0.260.28 0.290.31 0.32 25
26 0.290.31 0.33 0.35 0.37 0.38 0.40 26
27 0.35 0.380.400.42 0.440.460.49 27
28 0.410.430.460.49 0.51 0.540.57 28
29 0.470.500.530.56 0.591. 21. 529
30 0.530.560.591. 31. 61. 91.12 30 June
11 December 31 0. 591. 21. 61.10 1.131.171.21 1 July
10 January I I. 51. .131.17 1.211.251.29 2
21.11.151.191.24 1.281.321.37 3
31.161.211.261 11.35 1.401.45 4
41.221.271.321.3-1.42 1.471.53 5
51.271.331.381.44 1.491.542. o 6
61.331.391.45 1.51 1.572. 22. 8 7
71.391 451.511.57 2. 32. 92.168
81.441.501 572. 42.102.162.23 9
91.50 1.562. 32.10 2.172.232.30 10
101.55 2. 22. 92.16 2.232.30 2.38 11
112. 02. 72.152.22 2.30 2.372.45 12
12 2. 52.132.212.29 2.372.442.52 13
132.102.192.272.35 2.432.513. 014
14 2.162.252.332.42 2.50 2.583. 715
152.212.30 2.38 2.47 2.563. 53.13 16
162.262.352.442.53 3. 23.113.2117
172.31 2.402.50 2.59 3. 93.183.28 18
18 2.36 2.46 2.553. 53.153.243.34 19
19 2.412.513. 13.11 3.213.31 3.41 20
20 2.46 2.563. 63.17 3.27 3.373.48 21
212.50 3. 23.123.23 3.333.443.55 22
22 2.553. 63.173.28 3.393.504. 123
23 3. 03.113.223.33 3.453.564. 724
24 3. 43.163.273.39 3.50 4. 14.13 25
25 3. 83.203.323.44 3.564. 74.19 26
26 3.133.253.373.49 4. 14.134.26 27
27 3.173.293.423.54 4. 64.194.31 28
28 3.223.343.474. 04.124.254.38 29
30 3.303.433.564. 94.224.364.49 31 July
13.38 3.51 4. 54.18 4.324.464.59 2 August
33.464. 04.144.28 4.42 4.565.10 4
53.524. 64.214.36 4.505. 55.19 6
73.594.144.294.444.595.145.29 8
94. 54.214.364.52 5. 75.235.38 10
114.124.284.445. 05.165.315.47 12
13 4.194.354.515. 75.235.40 5.56 14
15 4.244.414.575.14 5.305.476. 3 16
17 4.304.475. 35.215.38 5.556.12 18
20 4.374.555.125.29 5.476. 46.21 21
23 4.445. 25.195.37 5.556.136.31 24
26 4.505. 85.265.44 6. 26.206.38 27
14.565.155.335.52 6.106.296.47 30 August
45. 05.195.385.576.166.346.53 2 Sept.
75. 45.235.426. 16.206.396.58 5
105. 85.275.466. 56.256.447. 3 8
135.115 305.496. 8 6.286.477. 611
165.125.315.51 6.116.316.507. 914
19 5.125.325.526.12 6.326.517.11 17

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

H.MH.MH.M│H.M│H.MH.MH.M

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

Sub. aft. N.

Sub. aft. N.

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

7. 408. 08. 208. 40 9. 09. 209. 40
115 120 125 130 135 140 145
Deg. Deg. Deg. Deg. Deg. Deg. Deg.
M.S.M.S. M.S. M.S. M.S. M.S. M.S.

Add bef. N.

Add aft. N.
Sub. bet. N.

Days.

21 June

20

20

19

18

17

16

Days.

Days.

Days. December 21 December 210. 00. 00. 00. oo. vo. 00. 021 June 22 0. 90. 90. 90.100.100.100.10 22 23 0.170.18 0.18 0.19 0.190.200.21 23 24 0.25 0.26 0.270.28 0.290.300.31 24 25 0.34 0.35 0.36 0.38 0.390.41 0.43 25 26 0.42 0.440.460.48 0.490.51 0.53 26 27 0.51 0.53 0.550.57 0.591. 11. 327 28 0.591. 21. 51. 71. 91.121.14 28 291. 81.111.141.17 1.191.221.25 29 30 1.161.191.23 1.26 1.29 1.321.35 36 June 11 December 31 1.241.28 1.32 1.35 1.391.431.46 10 January

1 July

2

3

11.33 1.37 1.41 1.45 1.491.531.57
21.42 1.46 1.511.55 1.592. 32. 7
31.491.541.592. 42. 92.132.18 4
41.582. 32. 82.13 2.192.232.28 5
52. 52.112.16 2.22 2.28 2.33 2.39 6
62.142.202.26 2.32 2.38 2.432.49 7

2.222.28 2.342.41 2.472.532.59 8
8 2.292.36 2.43 2.49 2.563. 33. 99
92.372.442.51 2.58 3. 53.12 3.19 10
102.452.522.593. 613.143.213.28 11
112.523. 03. 73.15 3.233.303.38 12
12 3. 03. 83.163.243.323.393.47 13
133. 83.163.243.32 3.403.493.57 14
143.153.243.323.41 3.49 3.584. 615
15 3.223.313.403.49 3.584. 74.16 16
16 3.30 3.393.483.574. 74.164.25 17
17
3.373.463.554. 64.164.244.34 18
18 3.443.544. 44.14 4.244.334.43 19
19 3.51 4. 14.114.21 4.31 4.41 4.51 20
20 3.584. 84.194.29 4.394.505. 021
21 4. 54.164.274.37 4.484.595. 922
22 4.124.234.344.45 4.565. 75.18 23
23 4.194.304.414.53 5. 45.155.26 24
24 4.25 4.364.485. o 5.125.235.34 25
25 4.314.434.555. 75.195.305.42 26
26 4.384.505. 25.14 5.265.38 5.50 27
27 4.434.565. 85.215.335.465.58 28
28 4.50 5. 35.165.28 5.405.546. 6 29
30 5. 25.155.285.41 5.546. 86.21 31 July
15.135.275.405.54 6. 86.226.35 2 August
35.245.38 5.526. 66.206.356.49 4
55.345.496. 46.186.336.477. 2 6
7
5.445.596.146.29 6.446.597.14 8
5.536. 96.246.40 6.557.117.26 10
116. 36.186.346.50 7. 67.217.3712
136.126.286.447. 07.167.327.48 14
15 6.206.366.537.107.267.427.58 16
176.296.457. 27.197.367.528. 918
20 6.396.567.137.31 7.488. 58.22 21
23 6.487. 67.247.428. 08.178.34 24
26 6.577.157.347.52 8.108.288.46 27
17. 67.247.428. 18.208.388.57 30 August
47.127.317.508. 98.288.469. 6 2 Sept.
77.177.367.558.14 8.338.539.12 5

10 7.237.428. 18.208.398.599.18 8
13 7.267.458. 48.24 8.439. 39.22 11
16 7.297.488. 78.27 8.479. 69.25 14
197.307.508.108.29 8.499. 89.27 17

7.317.508.108.30 8.509. 99.28 Before

Equinox.

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

20

19
18
17

16

15

14

13

12

41

2

Decemb. 1
Novemb.30

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

Days.

0.11 0.12 0.12

Sub. aft. N. Add aft N.

Add bef. N.

Sub. bef. N.

Sub, in W.

Add in W.

Add in E.

Sub. in E.

Add aft. N.
H.M│H. M.│H. M.H. M. H. M.H. M.JH. M.
Sub. bef. N.
10 010. 2010. 4011. 011. 2011. 4012. 0
Add in W.
150 155 160 165 170 175 180
Sub. in E.
Deg Deg. Deg. Deg. Deg. Deg. Deg.
Days.
M.S.M. S.M. S. M. S. M. S. M. S. M. S.
Decemb.21 Decemb. 210. o 0.0 0.0 0. o
22 0.11
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
281.17 1.20 1.23 1.25
29 1.28 1.31 1.34 1.37
30 1.39 1.42 1.45 1.49
IDecemb. 31 1.50 1.54 1.57 2. I
10 January
I2. I 2. 52. 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
9
TO 3.35 3.42 3.49 3.56
113.45 3.52 3.59 4. 7
123.55 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
18 4.52 5. 2 5.12 5.22
19
5. 15.12 5.22 5.32
20 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
27 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.
7.17 7.31 7.45
57.16 7.31 7.45 8. o
77.29 7.44 7.59 8.14
97.41.56 8.12 8.27
117.53 8. 8 8.24 8.40
13 8. 48.20 8.36 8.53
15 8.15 8.32 8.48 9. 5
8.26 8.43 9. o 9.17
20 8.40 8.57 9.14 9.32
238.52 9.10 9.28 9.46 10. 310.2110.39 24

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. 07.12 7.24 28
7.9 7.22 7.3429
7.96 7.40 7.53 31 July
7.43 7.57 8.11 2 August 10
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.
9.4910. 610.24|21

976542

15

14

12

15 February 26 9. 4 9.22 9.40 9.58 10.1610.3410.53 27
12 March

19.15 9.33 9.51 10.10 10.29 10.4711. 630 August
49.24 9.43 10. 110.20 10.39 10.5811.16 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
139.41 10. 0 10.21 10.40 10.59 11.1811.38 11
169.4510 410.24 10.44 11. 311.2211.42 14
19 9.47 10. 610.26 10.46 11. 511.2411.44 17

9.48 10. 710.2710.47 11. 611.25 11.45 Before

96

3 April

31 March

28

25

After

Sun's Right Ascension.

Days.

JAN.

1

2

3

5

6

12

13

14

17

18

19

5.17 19.34 21.42 23.29 1.22 3.16 5.217.25 19.38 21.46 23.33 1.26 3.20 5.25 7.29 19.43 21.50 23.361.30|3.24 5.29 15 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 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 1.483.43 20 20. 8 22.13 23.58 1.52 3.47 5.54 7.58 21 20.13 22.17 0. 2 1.55 3.51 5.59 8. 2 0. 61.59 3.55 6. 38. 6 0.9 2. 33.59 6. 7 8.10 10. 8 12. O 0.13 2. 74. 3 6.11 8.14 10.12 12. 4 0.17 2.10 4. 7 6.15 8.18 10.16 12.7 20.34 22.36 0.20 2.14 4.11 6.19 8.21 10.19 12.11 20.38 22.40 0.24 2.18 4.15 6.24 8.25 10.23 12.15 20.42 22.44 0.27 2.22 4.20 6.28 8.29 10.27 12.18 20.46 22.46 0.3 2.26 4.24 6.328.33 10.30 12.22 0.35 2.29 4.28 6.36 8.37 10.34 12.26 0.39 4.32 8.41 10.37

FEB. MAR. APR. MAY. JUNE. JULY. AUG. SEPT. h. m. h. 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 18.50 21. 2 22.52 0.46 2.37 4.40 18.55 21.6 22.56 0.49 2.41 4.44 4 18.59 21.10 23.00 0.53 2.45 4.48 19. 4 21.14 23. 3 0.57 2.48 4.52 19. 8 21.19 23. 71. 0 2.52 4.56 19.12 21.23 23.11 1. 4 2.565. 19.17 21.27 23.14 1.7 3. o 19.21 21.30 23.18 1.11 3. 4 10 19.25 21.34 23.22 1.15 3. 8 11 19.30 21.38 23.25 1.18 3.12

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.

1 2 3 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

Deg.

co Hour.

12 1

13112 141 15112

16 I I 2 3 3 4 5 5

56 6 6 6 75

8 8

7 78 90 88 105 99 91010120

135

10 11 11 12 12 13 150 11 12 12 13 13 14 165

8 9 9 9 10 10 11
78 8 8 9 91010
8 8 9 9 10 10 111
9 91010111112 12 13 13 14 1415
88 9 9101011 11 12 12 13 14 14 15
8 8 9 9 10 11 11 12 12 13 13 14 15 15 16
88 9 9 101111 12 13 13 14 14 15 16 16 17
10 11 11 12 13 13 14 15 15 16

180

15 16 16 195 16 17 18 210| 18 18 19 225

1717 18

19 19 20 240

8 9 91011111213 13 14 15 16 16 17 8 91011 11 12 13 14 14 15 16 17 1718 8 910 10 11 12 13 13 14 15 16 1717 18 19 9 10 11 12 13 13 14 15 16 17 18 18 19 20 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 1 18 19 20 21 22 23 24 25 26 27 28 330) 9 10 11 12 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 345 101112131415|16|17|18|19|20|21|22|23|24|25|26|27|28|29|30|360|

DECLINATION.

Amplitudes.

1

9 3

1 2 3 4 5 6

ས༠

7 8

9 10 11 12

13 14 15 16 17 18 19 20 21 22 23 23 28
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.
02. O 04. 05. 06. 07. 08. O 9. 10. 011. 012. 013. 014. 015. 16. 17. 18. 019. 020. 021. 022. 023. 023.28|
1. 02. O 13. 04. 05. 06. 07. 08. 0 9. 010. 011. 012. 013. 014. 15. 16. 117. 118. 119. 120. 121. 122. 123. 123.29
1. 02. 03. 4. 05. 06. 07. 18. I 9. 10. 11. 12. 13. 14. 115. 116. 117. 118. 219. 220. 221. 222. 223. 223.36
03. 04. 15. 16. 17. 18. 9. 10. 11. 212. 213. 214. 25. 216. 217. 318. 319. 320. 3 21. 322. 323. 423.32
3. I 15. 16. 17. 2 . 2 9. 210. 211. 312. 313. 314. 315. 416. 417. 418. 419. 520. 521 522. 523. 623.34
3. 14. 15. 26. 27. 8. 39. 310. 311. 412. 413. 414. 515. 516. 5 17. 618. 6 19. 720. 721 722. 823. 823.36
13. 25. 26. 37. 38. 49. 410. 51. 512. 513. 614. 615. 716. 717. 818. 819. 920. 921.10 22.1023.11 23.39

I. 02.

I

02.

I

13.

13.

12.

5. 36. 47. 48. 59. 510. 611. 712. 713. 814. 815. 16.10 17.10 18.11 19.12 20.12 21.13 22.1423.1423.43
24. 35. 46. 57. 58. 6 9. 710. 811. 812. 913.10 14.11 15.11 16.12 17.13 18.14 19.15 20.16 21.16 22.1723.1823.47
23. 34. 45. 56. 67. 78. 79. 810. 911.10 12.11 13.12 14.13 15.14 16.15 17.16 18.1719.18 20.19 21.20 22.2123.2323.51
23. 34. 45. 66. 77. 88. 9 9.10 10.1111.13 12.14 13.15 14.16 15.17 16.18 17.20 18.21 19.22 20.23 21.25 22.26 23.2723.56
33. 44. 55. 76. 87. · 9
9.12 10.14 11.15 12.16 13.18 14.1915.21 16.22 17.24 18.25 19.26 20.28 21.30 22.31 23.33 24. 1
33. 54. 65. 86.107. 18.13 9.14 10.1611.1812.19 13.21 14.23 15.24 16.26 17.28 18.2919.31 20.33 21.35 22.37 23.38 24. 7
22. 43. 64. 75. 96. 7. 38.15
9.1710.1911.2012.22 13.24 14.26 15.28 16.30 17.32 18.34 19.36 20.38 21.40 22.43 23.45 24.14
1. 22. 43. 64. 85.116.137.158.17 9.1910.21 11.24 12.26 13.28 14.30 15.33 16.35 17.37 18.39 19 4220.44 21.4722.4923.5224.21
1 22. 53. 74.10 5.126.157.178.19 9.22 10.24 11.27 12.29 13.32 14.35 15.37 16.40 17.42 18.4519.48 20.51 21.53 22.5623.59 24.28
53. 84.115.146.177.198.22 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
1. 3 63. 94.12 5.156.197.228.25 9.28 10.3111.34 12.38 13.41 14.44 15.47 16.51 17.54 18.58 20. 121. 5 22. 823.1224.1524.45
I 32. 3.104.145.176.217.248.28 9.31 10.35 11.3912.42 13.46 14.49 15.53 16.57 18. 19. 520. 821.12 22.1623.20 24.25 24.54
1. 42. 83.124.15 5.196.237.278.31 9.35 10.39 11.43 12.47 13.51 14.55 15.59 17. 318. 819.12 20.1621.21 22.25 23.30 24.3425. 4
1. 42. 3.134.175.216.267.308.34 9.39 10.4311.48 12.52 13.57 15. 116. 17.10 18.15 19.2020.25 21.29 22.34 23.39 24.4525.15
1. 52. 93.144.195.246.287.338.38 9.43 10.48 11.53 12.57 14. 215. 716.13 17.18 18.23 19.28 20.3321.39 22.44 23.50 24.55 25.26
103.164.215.266.317.368.42 9.47 10.52 11.58 13. 314. 915.14 16.2017.25 18.31 19.37 20.43 21.49 22.55 24. 125. 725.38
2.113.174.23 5.286.347.408.46 9.52 10.57 12. 313. 9 14.15 15.21 16.27 17.34 18.40 19.46 20.53 21.59 23. 624.1325.1925.51
1. 62.123.194.25 5.316.377.448.50 9.56 11. 312. 913.16 14.22 15.2916.36 17.42 18.49 19.5621. 322.10 23.18 24.2525.32 26. 4
2.143.204.275.346.417.488.54 10. 111. 812.15 13.22 14.30 15.37 16.44 17.52 18.5920. 721.1422.22 23.30 24.38 25.4626.18
1. 72.153 224.29 5.376.447.528.59 10. 711.1412.22 13.30 14.37 15.45 16.53 18. 119. 920.18 21.26 22.34 23.4324.5226. 126.33
163.244.32 5.406.487.569. 410.12 11.21 12.29 13.37 14.46 15.54 17. 318.11 19.20 20.2921.38 22.47 23.57 25. 626.1626.48
1. 92.173.264.34 5.436.528. 19. 9 10.18 11.27 12.36 13.45 14.54 16. 317.1318.22 19.32 20.41 21.51 23. 124.1125.22 26.32 27. 5
1. 92.193.284.37 5.476.568. 59.15 10.24 11.34 12.44 13.53 15. 316.13 17.23 18.34 19.4420.54 22. 523.5 24.27 25.38 26.49 27.23
1.10 2.203.304.40 5.507. 08.109.21 10.3111.41 12.52 14. 2 15.13 16.2417.3418.45 19.5721. 822.1923.31 24.43 25.55 27. 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
1.122.23 3.35 4.46 5.587.108.219.33 10.45 11.57 13. 914.21 15.34 16.46 17.59 19.11 20.24 21.37 22.51 24. 4 25.18 26.32 27.46 28.21