PART 1.

Aberration in Right Ascension and Declination.

PART III.

Arg. R.A.R.A.-Long.Ar.R.A.R.A.+OLon. Ar2dDec-Olon+Dec Adesigns Arg. Dec.=Arg.R. A.+3 signs. Ar.Dec. Arg. R.A+3signs. Ar3dDec Olon-Dec iDeci.S.

10.

6.1. 7.2. 8.
+ +-+

019.17 16.6094.59 30
119 .17 16 .439 .30 29
219 .1616 .269.00 28
319.1516 .088 .70 27
419 1315 .908 .40 26
519 .1015 718 10 25
619 .0715 .517 .80 24
719 .03 15 .317 .49 23
818 .99 15 .117 .18 22
918 .94 14 .906 .87 21
1018 .88 14 .696 .56 20
118 .8214 .476 .24 19
12 18 .75 14 .255 .92 18
1318 .6814 .025 .61 17
1418 .60 13 .795 .28 16
1518 .52 13 .564 96 15
1618 .4313 .324 .64 14
17/18 .3413 084 .31 13
18 18 .23 12 .83.3 .99 12
19 18 .13 12 .583 .66 11
2018 .02 12 .323 .33 10
21/17 .9012 .073 .00 9
2217 .7811 .802 .67 8
2317 .65 11 .542 .34
2417 .5211 27 2 .co
25 17 .38 11, .001 .67
26 17 .23 10 .721 34
2717 .0810 .441 .00
2816 .93 10.160 .67]
29 16 .77 9 .870 .33
30 16 .60 9 .590 .00 0
+ +-+
D
11. 5.10. 4.9. 3.

PART II.

10. 6.1. 7.2. 8.)

D

Ꭰ

0

+ 00.830.720.41 30 10 .830 .710 .40 29 20 .830.700 .39 28 30 .830 .690 .38 27 40 .820.690.36 26 50 .820 .680 .35 25

1

3

4

5

3.97 3.26 1.68 25

6

240 .760 .490 .09

6

24

5

250 .750 .470 .07

5 25

5

To find the Aberration of a Star in Right Ascension.-Find the Equations in Part I. and II. corresponding to the arguments of R. A. at the top of those tables, and connect them according to their signs, and to the log. of this sum or difference add the log. secant (less radius) of the star's declination, the sum will be the log. of the aberration in Right Ascension in seconds of a degree, which divided by 15 will be reduced to time, to be applied to the mean R. A.

To find the Aberration of a Star in Declination.-Increase the former arguments of R. A. by 3 signs, and connect together the corresponding equations of Part I. and II. to the log. of which add the log. sine of the ✶'s declination, the sum will be the log. of arch 1st. With the arguments at the top of Part III. find in that Table arches 2d and 3d. These three arches connected with their signs will be the aberration in declination, to be applied to the mean declination.

EXAMPLE. Required the Aberration in R. A. and Dec. of a Pegasi, July 16, 1820 ? By table 8. R.A.=22h. 55′ 48′′-11s.130.57. Dec.14° 14/ N. and by N.A.Olong. 3s.23°46/ R.A. 11s.130,57/

Olong+ Dec 4s. 80, 0' Arch 2d +2. 45} { If Deel. is S. add 6s. to
Olong - *Dec 3. 9. 32 Arch 3d +0.66} {the Argum. Part. III.

Equation of Second Differences to be applied to the mean longitude or latitude with a
sign contrary to that of the mean of the second differences.
Second Difference.

Ap. time after noon. or midnight.

h m h

0.0 12. 0

0.10 11.50

1. 011. 0

2.3

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.4 0.8 1.2 1.6 2.1 2.5 2.9 3.3 3.7 4.1 4.5 4.9 0.20 11.40 0.8 1.6 2.4 3.2 4.1 4.9 5.7 6.5 7.3 8.1 8.9 9.7 0.30 11.30 1.2 2.4 3.6 4.8 6.0 7.2 8.4 9.6 10.8 12.0 13.2 14.4 0.40 11.20 1.6 3.1 4.7 6.3 7.9 9.4 11.0 12.6 14.2 15.7 17.3 18.9 0.50 11.10 1.9 3.9 5.8 7.8 9.7 11.6 13.6 15.5 17.4 19.4 21.3 23.3 4.6 6.9 9.2 11.5 13.7 16.0 18.3 20.6 22.9 25.2 27.5 1.10 10.50 2.6 5.3 7.9 10.5 13.2 15.8 18.4 21.1 23.7 26.3 29.0 31.6 1.20 10.40 3.0 5.9 8.9 11.9 14.8 17.8 20.7 23.7 26.7 29.6 32.6 35.6 1.30 10.30 3.3 6.6 9.8 13.1 16.4 19.7 23.0 26.2 29.5 32.8 36.1 39.4 1.40 10.20 13.6 7.2 10.8 14.4 17.9 21.5 25.1 28.7 32.3 35.9 39.5 43.1 1.50 10.10 3.9 7.8 11.6 15.5 19.4 23.3 27.2 31.1 34.9 38.8 42.7 46.6 2. 010. 0 4.2 8.3 12.5 16.7 20.8 25.0 29.2 33.3 37.5 41.7 45.8 50.0 2.10 9.50 4.4 8.9 13.3 17.8 22.2 26.6 31.1 35.5 39.9 44.4 48.8 53.3 2.20 9.40 4.7 9.4 14.1 18.8 23.5 28.2 32.9 37.6 42.3 47.0 51.7 56.4 2.30 9.30 4.9 9.9 14.8 19.8 24.7 29.7 34.6 39.6 44.5 49.5 54.4 59.4 2.40 9.20 5.2 10.4 15.6 20.7 25.9 31.1 36.3 41.5 46.7 51.9 57.0 62.2 2.50 9.10 5.4 10.8 16.2 21.6 27.1 32.5 37.9 43.3 48.7 54.1 59.5 64.9 3.0 9.0 5.6 11.2 16.9 22.5 28.1 33.7 39.4 45.0 50.6 56.2 61.9 67.5 3.10 8.50 5.8 11.7 17.5 23.3 29.1 35.0 40.8 46.6 52.4 58.3 64.1 69.9 6.0 12.0 18.1 24.1 30.1 36.1 42.1 48.1 54.2 60.2 66.2 72.2 6.2 12.4 18.6 24.8 31.0 37.2 43.4 49.6 55.8 62.0 (68.2 74.4 6.4 12.7 19.1 25.5 31.8 38.2 44.6 50.9 57.3 63.7 70.0 76.4 6.5 13.0 19.6 26.1 32.6 39.1 45.7 52.2 58.7 65.2 71.7 78.3

3.20 8.40 3.30 8.30 3.40 8.20

$3.50

4. 0

4.20

4.40

5. 0

8.10

8.0 6.7 13.3 20.0 26.7 33.3 40.0 46.7 53.3 60.0 66.7 73.3 80.0 7.40 6.9 13.8 20.8 27.7 34.6 41.5 48.4 55.4 62.3 69.2 76.185.1 7.20 7.1 14.3 21.4 28.5 35.6 42.8 49.9 57.0 64.2 71.3 78.4 85.6 7.0 7.3 14.6 21.9 29.2 36.5 43.7 51.0 58.3 65.6 72.9 80.2 87.5 6.40 7.4 14.8 22.2 29.6 37.0 44.4 51.9 59.3 66.7 74.1 81.5 83.9 6.20 7.5 15.0 22.4 29.9 37.4 44.9 52.3 59.8 67.3 74.8 82.2 89.7 6. 06. 0 7.5 15.0 22.5 30.0 37.5 45.0 52.5 60.0 67.5 75.0 82.5 90.0 Second Difference. 10" 20" 30" 40" 50 1" 211 3"

5.20 5.40

Ap. time after noon

or midnight.

m

0.4 0.8 1.1

0.7 1.4 2.1

"1 h m h 0.0 12. 0 0.0 0.0 0.0 0.10 11.50 0.1 0.1 0.2 0.20 11.40 0.1 0.3 0.4 0.30 11.30 0.2 0.4 0.6 0.40 11.20 0.3 0.5 0.8 0.50 11.10 0.3 0.6 1.0 1. 0 11. 0 1.10 10.50 0.4 0.9 1.3 1.20 10.40 0.5 1.0 1.5 1.30 10.30 0.5 1.1 1.6 1.40 10.20 0.6 1.2 1.8 1.50 10.10 0.6 1.3 1.9 2. 0 10. 0 2.10 9.50 0.7 1.5 2.2 2.20 9.40 0.8 1.6 2.3 2.30 9:30 10.8 1.6 2.5 2.40 9.20 0.9 1.7 2.6 2.50 9.10 3. 0 9.0 3.10 8.50 3.20 8.40 3.30 8.30 3.40 8.20 3.50 3.10 4. 0 8.0 4.20 7.40 4.40 7.20 5. 0 7.0 6. 0 6.0

0.9 1.8 2.7

0.9 1.9 2.8
1.0 1.9 2.9
1.0 2.0 3.0
1.0 2.1 3.1

1.1 2.1 3.2
1.1 2.2 3.3

1.1 2.2 3.3
1.2 2.3 3.5
1.2 2.4 3.6

1.2 2.4 3.6
1.2 2.5 3.7

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.3 0.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0. 0.5 0.7 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.8 1.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.2 1.0 1.3 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 1.3 1.6 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3

1.5 1.9 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 1.8 2.2 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 2.0 2.5 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0. 2.2 2.7 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 2.4 3.0 0.1 0.1 0.2 0.2 0.3 0.4 0.4 0.5 0.5 2.6 3.2 0.1 0.1 0.2 0.3 0.3 0.4 0.5 0.5 0.6

2.8 3.5 0.1 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 3.0 3.7 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 3.1 3.9 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7 3.3 4.1 0.1 0.2 0.2 0.3 0.4 0.5 0.6 0.7 0.7 3.5 4.3 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.7 0.8 3.6 4.5 0.1 0.2 0.3 0.4 0.5 0.5 0.6 0.7 0.

3.7 4.7 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.7 0.
3.9 4.9 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.5
4.0 5.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.
4.1 5.2 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.
4.2 5.3 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 1
4.3 5.4 0.1 0.2 0.3 0.4 0.5 0.7 0.8 0.9

4.4 5.6 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9
4.6 5.8 0.1 0.2 0.3 0.5 0.6 0.7 0.8 0.9 1.
4.8 5.9 0.1 0.2 0.4 0.5 0.6 0.7 0.8 1.0
4.9 6.1 0.1 0.2 0.4 0.5 0.6 0.7 0.9 1.0
5.0 6.2 10.1 0.2 0.4 0.5 0.6 0.7 0.9 1.0

Mass.

N. Hamp.

Maine.

[This Table contains the LATITUDES and LONGITUDES of the most remarkable Harbours, Islands, Shoals, Capes, &c. in the WORLD, founded on the latest and most accurate Astronomical observations, surveys and charts.]

The Longitudes are reckoned from the meridian of Greenwich.

I. COAST OF THE UNITED STATES OF

Lat. Long. D. M. D. M.

42 34N 70 47W

Beverly

ENTRANCE of St.

Croix River

SALEM

45 7N 67 8W

Marblehead

42 32

70 50