No. 3.] 



MINOR PLANETS— LEUSCHNER, GLANCY, LEVY. 



145 



Logarithmic 



Table LV,i. 



Unit-l" 



Logarithmic 



Ki = Iw'riPri'ij'" COS Arg. 

 Table LV,n. 



Unit- 1" 



K.i = I'W'riP-q'^p' sin Arg. 



u 



-. = in„.„riPTj"' sin A +nt 



I cos ) PVI I 



By eq. (205), at the date of osculation, 



A'i(cos e — e) + Kj sin £ +c,(cos e — e) +c, sin e 



t = 0, = 6^ 



u 



By Hansen," 



e cos % 



. = I Up.gijPrj'i sin A + c,(cos £ — e)+Cj sin s 



(f/ u V^/ ^^ V^'^-0 

 d£\^ cos V d^V' cos V (/^ 



in which v. Zeipel's notation is adopted. 



(A) 

 (B) 



From the various parts of S, enumerated above, tj can be computed. Since S contains 



the constants of integration 



Ci(cos ^ — e) +C2 sin ^ 



JO 



the derivative, jy, contains the constants 



— Ci sin £ + C2 cos £ 



The solution of eqs. (A) and (B) gives c^ and c^. But there is a better way of deter- 

 mining the derivative of the perturbation. The exposition of this second method is 

 postponed until a particular example is considered, for the perturbations are not yet in a form 

 which leads to the development of the equations. 



' Auseinandersetzung einer zweckmissigen Methode tut Bercchnung der Absoluten Storungen der kleinen Planeten, Ersta Abhandlung, § 5, p. 3 

 110379°— 22 10 



