54 
MR. LUBBOCK’S RESEARCHES 
— — 1 + J r °~ e { 1 — g cos ( n< + £ ~ + e i a 7is “ <7^ a R ‘ 6 } cos ( nt + £ — W l) 
— e { y»o + a q- } « 1 s ‘ n ( n < + £ - ®) - e, 3 a y 16 n t sin (n t + e - vr,) 
In the notation of the Mecanique Celeste 
These results evidently agree with those given in the Mecanique Celeste, 
vol. i. p. 2/9, with the exception of the sign in the value of f marked with an 
asterisk, which I think requires alteration in that work. 
Finally, neglecting the quantities multiplied by t, which may be made to de- 
