FOR COMPUTING THE ABERRATION OF A STAR IN RIGHT ASCENSION

ARGUMENT.
For the Aberration of R.A.
R.A. Star-Lon. Sun.
For the Aberration in Decl.

OR

TABLE II. OF ABERRATION. TABLE III. OF ABERRATION.

ARGUMENT.

For the Aberration in R.A.
R.A. Star+Sun's Lon.
For the Aberration in Decl.

ARGUMENT.

For part 2d of Aber. in Decl.

Sun's Lon.+Star's Decl.

R.Acen. Star+3 signs-Sun's R.Ascen. Star+3 signs+Sun's For part 3d Aber. in Decl.

Sun's Lon.-Star's Decl.

S. S. S. S. S. S.
O VII VIIII VIII

+-+

4.03 3.49 2.02

+

+

+

+

30

0

0.84 0.73 0.42

30

0

30

4.03 3.46 1.96 29

2 19.40 16.47 9.12

28

0.84 0.71 0.39

28

2

4.02 3.34 1.77 26

5

0.83 0.68 0.34

24

6

To find the Aberration of a Star in Right Ascension.

To the log of the sum or difference of the equation from Tables XLVI. XLVII. answering to their arguments, add the log secant of the Star's declination, the sum will be the log of the aberration in right ascension.

To find the Aberration of a Star in Declination.

Find the sum or difference of the equations answering to the former arguments, increased by three signs, to the log of which add the log sine of the Star's declination; the sum will be the log of part 1st of the aberration. Take parts second and third of aberration from Table XLVIII. which, applied to the former, will give the aberration in declination. If the Star's declination is south, change the sign of parts 2d and 3d.

26

3.63 2.26 0.28

3 27

3.59 2.20 0.21

28

3.56 2.14 0.14

29

3.53 2.08 0.07

0

30

3.49 1.02 0.00

3210

+

+ -+

+

S.

Long.
Moon's

2233

Constellations.

Pegasi

Phenicis

Mean Right Annual Mean Declina- Annual Proper Name. Mag. Ascen, for 1830 Variation. tion for 1830. Variation.

3

Cassiopea

3

Ceti

γ

Cassiopeæ

Ursa Minoris Polaris

β

Andromedæ

Mean Right Annual Mean Declina- Annual Constellations. Proper Name. Mag. Ascen, for 1830 Variation. tion for 1830. Variation.

Sagittarii
Draconis

Mean Right Annual Mean Declina- Annual Constellation. Proper Name. Mag. Ascen. for 1830 Variation. tion for 1830. Variation.

134 β

Cygni

Altair

1.2

19 42 29.2

2.93 8 25 32 N+

8.7

TABLE LV. Decimal Numbers for each Day in the Year.

Months.

D. Jan. Feb. March April. | May. | June. | July. | Aug. | Sept. | Oct. Nov. Dec. 10.000 0.085 0.162 0.247 0.329 0.4140.496 0.581 0.666 0.748 0.8330.915 20.003 0.088 0.164 0.249 0.332 0.416 0.499 0.584 0.668 0.751 0.836 0.918 30.006 0.090 0.167 0.252 0.334 0.419 0.501 0.5866.671 0.753 0.838 0.921 40.008 0.093 0.1700.255 0.337 0.422 0.504 0.589 0.674 0.756 0.841 0.923 50.011 0.096 0.1730.258 0.340 0.425 0.507 0.592 0.6770.759 0.8440.926 60.014 0.099 0.1750.260 0.342 0.427 0.5100.595 0.6790.762 0.847 0.929 70.016 0.101 0.178 0.263 0.345 0.430 0.5120.597 0.682 0.764 0.849 0.931 80.0190.104 0.181 0.266 0.348 0.433 0.5150.600 0.685 0.767 0.852 0.934 90.0220.107 0.184 0.268 0.351 0.436 0.5180.6030.688 0.770 0.8550.937 100.025 0.1100.186 0.271 0.353 0.438 0.521 0.605 0.6900.7730.8580.940 110.0270.112 0.189 0.2740.356 0.441 0.5230.6080.6930.7750.860 0.942 120.030 0.1150.1920.277 0.359 0.444 0.526 0.6110.6960.778 0.863 0.945 130.033 0.1180.1950.2790.3620.447 0.529 0.614 0.699 0.781 0.8660.948 140.0368.121 0.197 0.282 0.364 0.449 0.532 0.6160.701 0.784 0.868 0.951 150.038 0.123 0.200 0.285 0.367 0.452 0.534 0.6190.7040.786 0.871 0.953 160.041 0.126 0.203 0.2880.3700.455 0.537 0.622 0.7070.7890.874 0.956 170.044 0.1290.2050.290 0.3730.458 0.5400.625 0.7100.792 0.877 0.959 180.047 0.132 0.208 0.293 0.375 0.460 0.542 0.6270.712 0.7950.879 0.862 190.049 0.1340.211 0.296 0.3780.463 0.545 0.6300.7150.797 0.882 0.964 200.052 0.137 0.214 0.299 0.381 0.4660.548 0.633 0.718 0.800 0.8850.967 21 0.055 0.140 0.216 0.301 0.384 0.468 0.551 0.636 0.721 0.803 0.888 0.970 22 0.058 0.142 0.2190.3040.386 0.471 0.553 0.638 0.7230.8050.8900.973 230.060 0.145 0.2220.307 0.389 0.4740.556 0.641 0.726 0.8080.8930.975 24 0.063 0.1480.2250.3100.3920.4770.559 0.644 0.729 0.811 0.896 0.978 25 0.066 0.151 0.227 0.312 0.395 0.4790.562 0.647 0.731 0.8140.8990.981 26 0.068 0.153 0.230 0.315 0.397 0.482 0.5640.649 0.734 0.8160.901 0.984 27 0.0710.156 0.233 0.318 0.400 0.485 0.567 0.652 0.737 0.8190.9040.986 28 0.074 0.1590.236 0.321 0.4030.488 0.570 0.655 0.740 0.822 0.907 0.989 290.077 0.162 0.238 0.323 0.406 0.490 0.573 0.6580.7420.8250.9100.992 300.079 7.241 0.326 0.4080.493 0.575 0.660 0.745 0.827 0.9120.995 310.082 0.578 0.663 10.830