118 A NEW METHOD OF DETERMINING 
where 
§ = 351° 36’ 10” + 39”.79 (¢ — 1750) — 5.21 (¢ —t) 
n= 0.468 (v — 1) 
These expressions for 2’, ’ and 7’, can be used for the disturbed body as well as 
for the disturbing body by considering the unaccented quantities to be those given, 
and the accented quantities those whose values are to be found for the time, /. 
HARKNESS, in his work, The Solar Parallax and Its Related Constants, using the 
° ¢ P dl 
most recent data, gives the following expressions for 0, 7, and ae when referred to 
at 
1850.0: 
6 = 353° 34 55” 4- 32’.655 (t — 1850) — 8”.79 (t — f), 
n = 0.46654 (¢ — 1850), 
“= [50.2362 + 07.000220 (¢ — 1850) | (” — 4). 
n 
Letu == 
n! ? 
we have then 
we = 0.34955 
2u = 0.69910 
du = 1.04865 
4u = 1.39820 
Su = 1.74775 
6u = 2.09730 
Gio, Guec, 
Hence 
1 —3u = — .04865 , 
2—6u = — .09750. 
