(a) 
(2) 
(e) 
(a) 
(e) 
C) 
(9) 
(A) 
G) 
() 
(5) 
ON THE 
LIGHT OF THE MOON AND OF THE PLANET JUPITER. 
1 
Full Moonlight ` 
Sunlight ` 
143 — 
bad EE 
€ = 
Di — 
Di — 
d ` SE 
«€ — 
450000 
1 
48702 
1 
100000 
1 
16120000 
1 
389620 
1 
194810 
1 
97405 
<a 
210000 
1 
50000 
1 
90000 
E 
73054 
235 
Mitchell as quoted by Wollaston, Ph. Tr., 1829, p. 20. Probably 
a misprint for Äerz, 
From Mitchell’s formula quoted by Wollaston, Ph. Tr., 1829, p. 20. 
Wollaston. Ph, Tr., 1829. 
Wollaston's formula. Ph. Tr., 1829, p. 20. 
Euler's formula. Mem. Ac. Ber., 1750, p. 299. 
Bouguer’s formula. Mem. Ac. Paris, 1757, p. 22. 
Bouguer, for sphere covered with polished hemispherical asper- 
ities. Mem. Ac. Paris, 1757, p. 22. 
Leslie, Ed. Ph. Jour., No. XXII. 
Smith. Optics. 
Smith. Optics, p. 23. 
Lamberts formula. Beer, Grund. Phot. Cal., p. 68. 
Where the formule have been given, the values have been calculated, using for the 
Moon's mean semi-diameter seen from the Earth, 934".67. 
It is probable that (a) 
and (7) have been derived from the same formula with (b) by employing a slightly dif- 
ferent value of the Moon's semi-diameter; and a similar supposition may be made with 
respect to (j) compared with (g), and (4) compared with (f£). However this may be, 
the difficulty with the formule (excepting (d), which does not seem to be a correct de- 
duction from the principle assumed: by Wollaston respecting the intensity of illumina- 
tion on different parts of the Moon's surface) evidently lies with the values attributed 
to the coefficient 9. 
If we make R — r, ` = sin. 934".67, and p = 1, we have from (13) 
a 
x 
1 
For 0 — 4 d = 48702 as in (b), 
d i! 1 
SEET dir 97405 W 
di 
mia aL” 194810 "Hi 
G coms H d = E 4 . (e) 
d 389620 ? 
d i 
Ee aL T4 " (9 
