C04 
THE EARL OE EOSSE OH THE RADIATION 
moon (_ before full moon, + after), column III. the log z; column IV. contains twice 
the logarithm of the moon’s radius- vector (g) from the earth, the radius-vector of the 
moon when her horizontal parallax is 57' being taken as unity ; column V. contains twice 
the logarithm of the moon’s distance (B/) from the sun*, the mean distance of the earth 
being taken as unity. 
The natural number, z', corresponding to the sum of the quantities given in columns 
III., IV., and V., or the observed mean heating- effect on each night reduced to the zenith, 
is given in column VI. ; in VII. is given w, the number of sets of observations, each set 
consisting of ten determinations, from which z' has been deduced ; and in IX. the differ- 
ence between columns VI and VIII. 
Reduction of daily means to a mean distance of the Sun and Moon, and comparison 
with Curve. (See also Plate XLVIII., A.) 
I. 
II. 
III. 
IV. 
V. 
VI. 
VII. 
VIII. 
IX. 
X. 
1800+ 
£. 
log-?. 
log ? 2 . 
log R' 2 . 
z' observed. 
w=No. 
of sets. 
z 1 curve. 
Q 
1 
O 
0 
1 
A 
8 1+ 
Mar. 
21, 71. 
27, 71. 
-138 0 
o-o 
2 
Mar. 
-105 19 
1 5457 
00356 
9-9982 
38-0 
10 
380 
0-0 
o-o 
Mar. 
28, 71. 
- 94 0 
1-6764 
0-0307 
9-9988 
50-8 
8 
54-2 
+ 3-4 
+ 6-3 
Apr. 
15, 72. 
- 89 47 
1-8029 
0-0352 
00037 
69-5 
3 
63-8 
- 5-7 
- 8-9 
Feb. 
10, 72. 
- 83 12 
1-9284 
0-0283 
9-9902 
88-5 
6 
80-7 
- 7-8 
- 9-7 
Mar. 
29, 71. 
- 82 33 
1-8376 
00229 
9-9995 
72-4 
10 
82-3 
+ 9-9 
+ 12-0 
Dec. 
19, 71. 
- 78 20 
1-9938 
00029 
9-9862 
961 
3 
93-7 
- 2-4 
- 2-6 
Jan. 
18, 72. 
- 74 1! 
20443 
00221 
9-9866 
113-0 
7 
105-1 
- 7-9 
- 7-5 
May 
28, 71. 
- 72 14 
20134 
9-9800 
00126 
101-4 
6 
110-5 
4- 9-1 
+ 8-2 
Dec. 
20, 71. 
- 60 8 
2-1493 
0 0151 
9-9865 
141-6 
7 
128-8 
-12-8 
- 9-9 
Jan. 
19, 72. 
- 03 74 
21441 
00275 
9-9870 
1441 
2 
138-5 
- 5-6 
- 4-0 
May 
29, 71. 
- 59 55 
2-1412 
9-9661 
00131 
131-9 
4 
149-3 
+ 17-4 
+ 11-6 
Apr. 
18, 72. 
- 56 11 
2-2531 
0-0164 
00057 
188-5 
9 
162-5 
-26-0 
-16-0 
Apr. 
30, 71. 
- 53 46 
2-3579 
9-9753 
0-0082 
2195 
6 
171-5 
-48-0 
-28-0 
Jan. 
20, 72. 
- 50 56 
2-3380 
0-0366 
9-9876 
230-2 
2 
182-3 
-47-9 
-26-3 
Mar. 
2, 71. 
- 49 36 
2-0628 
00145 
9-9943 
1180 
4 
187-6 
+69-6 
+371 
Mav 
30, 71. 
- 45 37 
2 2821 
9-9527 
0-0138 
177-2 
2 
203-8 
+26-0 
+ 13-0 
Feb. 
20, 72. 
- 38 9 
2-3588 
00365 
9-9924 
244 1 
4 
236-3 
- 7-8 
- 3-3 
Mar. 
21, 72. 
- 36 42 
2-4804 
0-0173 
9-9993 
314-1 
3 
2430 
— 71 1 
-29-3 
Jan. 
22, 72. 
- 28 44 
2-2988 
0-0388 
9-9883 
211-8 
3 
282-6 
+70-8 
+25-0 
Mar. 
22, 72. 
- 24 27 
2-4820 
0-0100 
9-9998 
310-4 
6 
307-0 
- 3-4 
- 1-1 
Apr. 
3, 71. 
- 21 31 
2-5387 
9-9628 
0-0025 
319-2 
8 
325-5 
+ 6-3 
+ 1-9 
June 
1, 71. 
- 17 29 
2-6021 
99346 
00115 
355-8 
4 
351-4 
— 4-4 
- 1-3 
May 
3, 71. 
- 14 16 
2-5966 
9-9397 
00097 
351-6 
2 
371-4 
+ 19-8 
+ 5-3 
Dec. 
25. 71. 
- 10 16 
2-5830 
00366 
9-9876 
404-8 
7 
393-1 
-11-7 
- 30 
Mar. 
21, 72. 
- 4 9 
2-6126 
9-9940 
0-0005 
404-7 
5 
407-2 
+ 2-5 
+ 0-6 
June 
2, 71. 
- 3 42 
2-7054 
9-9312 
0-0148 
448-1 
3 
407-2 
-40-9 
- 10-0 
Dec. 
26, 71. 
+ 0 45 
2-5478 
00385 
9-9877 
375-0 
3 
401-4 
+26-4 
+ 6-6 
Feb. 
24, 72. 
+ 8 33 
2-5295 
0-0107 
9-9936 
341-8 
8 
373-1 
+31-3 
+ 8-4 
Dec. 
28, 71. 
+ 23 28 
2-4819 
0-0337 
9-9874 
318-4 
7 
307-5 
-10-9 
- 3-5 
Mar. 
20. 72. 
+ 24 44 
25349 
9-9806 
0-0008 
328-3 
1 
301-8 
-26-5 
- 8-8 
Jan. 
27, 72. 
+ 25 19 
2-5528 
00306 
9-98S8 
373-5 
1 
299-2 
-74-3 
-24-8 
Nov. 
1, 71. 
+ 52 2 
21920 
0 0363 
9-9943 
166-9 
4 
182-9 
+ 160 
+ 8-7 
Jan. 
30, 72. 
+ 61 53 
2-2146 
00003 
9-9882 
159-6 
6 
1490 
-10-6 
- 7-1 
Jan. 
2, 72. 
+ 82 30 
1-9965 
9-9963 
9-9856 
95-2 
2 
965 
+ 1-3 
+ 1-3 
Feb. 
1, 72. 
+ 87 54 
1-9668 
9-9778 
9-9876 
85-6 
1 
83-1 
- 2-5 
- 3-0 
Jan. 
5, 72. 
+ 119 51 
1-3922 
9-9598 
9-9843 
21-7 
2 
21-7 
0-0 
0-0 
* The linear distance of the moon from the sun is readily obtained from the earth’s radius-vector by the formula 
grr.95 
Moon’s distance from sun = E'=E+ — — — cos e, 
where E is the ear sh’s radius-vector, P the moon’s equatorial horizontal parallax, and e the moon’s elongation 
from full ; in our ase we have adopted a mean value of P=3420", so that E'=E+[7’4178] cos s nearly. 
