No. 3.) 



MINOR PLANETS— LEUSCHNER, GLANCY, LEVY. 



23 



Clearly, there is only one value of s, for 



£ — c, sin s = Cj + n,< + ndzi = c, + n^t + ndz^ 



and both n8z and e must be found by trials. Further, since the intioduction of n^ and c, arises 

 merely from a transfer of certain terms in the perturbation, the argument of the perturbation 

 is independent of this transformation. Therefore c, is the constant in eijuation (19). 



For any time t the order of computation is: equation (33), neglecting ndz, (20), (19), 

 (18), (22), final tabulation of iidz — indz], and the equation analogous to (34). Since the per- 

 turbations are large, the argument s is not sufficiently accurate when ndz is neglected. It Ls, 

 therefore, always necessary to make a second approximation for ndz. In the first trial the small 

 terms may be omitted. 



(10) nygiea. 

 Perturbations ndz, v, u, for 1873, Sept. 20.4491, Ber. M. T. 



I CoiT. for aberr. 



• From previous approx. 



• From Astrand'3 table. 



* Scecq. (1), page 16. 



