1903.] DOOLITTLE—ORBIT OF DOUBLE STAR J 518. Le 
arbitrarily assigned. Only the residuals in angle were employed, 
so that there resulted 33 equations between the six unknowns. 
The final values obtained from this solution led to the following 
elements : 
P = 180.0288 + 2.776 years. | 
T = 1843.185 + 1.051 
é = 0.13423 + 0.0221 | 
i= 63.26 40.74 | The Final Elements, 
° ° 
Visa ho: 62-1 0.71 | 
° 9° 
A = 319.54 +057 
Mt 
a = 4.791 J 
The value of « was obtained from a series of equations of the form 
a = cos (2 — fc) sec (v 4+ A) psaee td 
(¢ —-e COS €) 
The weighted mean was taken for the value of a. 
The following table shows the agreement of the observed posi- 
tions with the positions computed from the final elements. These 
residuals are perhaps as small as can be expected with a star of this 
character : 
