382 W. Harkness—The Solar Parallax. 
S+E _ 4? 
3 ZT*c’sin*p(1:000141)° Ga 
434 =) (8) 
3°86 
The equation sin*g=4, gives g9=35° 15’52”. Adding to this 
the angle of the vertical, 10°51”, the geographical latitude is 
35° 26’ 48”, and the corresponding value of log cis 9999515. 
If we take ‘=1%, the value of Z for latitude 35° 26’ 43” is 
0:992732 meters.* Substitutitig these values, together with 
T=31,558,149 seconds of mean a time, and p=6,378,390 
meters, in equation (8), it become 
p (CH) <3 = 226,350,000 (9) 
205 
| p= 609434 | (10) 
where p is expressed in seconds of a 
In connection with equations 9) "ibe (10) the reader may 
compare “ Hansen on the calculation of the sun’s parallax from 
the lunar theory,” MNt, 1864, vol. xxiv, p. 11; ‘“ Darlegung der 
theoretischen Berechnung der in den Mondtafeln angewandten 
Storungen, von ansen.” Zweite Abhandlung, s. 271; 
“E, J. Stone on the value of the solar parallax, as : deduced 
from the parallactic inequality in the earth’s motion.” MNt, 
1868, vol. xxviii, p. 23; Le Verrier, in the CRH, 1872, t. Ixxv, 
p. 166, and MNt, 1872, ‘vol. XXxii, p. 322. 
The equation of the parallactic inequality of the moon’s mo- 
tion, as given by Newcomb from the theories of Plana and 
Delaunay, is 
i 
~ 24128 +M* sin PO earn at 
Substituting the numerical values of P and m, and transpos- 
ing, this becomes 
1+ a 
= [8837088] Q- 5, (12). 
from which p can be soto when a = M are eile The 
: - DT 
WOb, 1865, Appendix 2, p. 24 ; MNt, ‘1880, val x p. 468. 
The Innar equation of Ane, earth's motion is (OPM, iv, 47) 
M 
Ov = eX ep X ct sin (v'—v) (13) 
* Everett, Units and Physical Constants, p. 2). 
