134 



DETERMINATION OF ELLIPTIC ORBITS. 



are nearly satisfied. Approximate values of r x , r 2 , r 3 may suffice for 

 the following computations, which, however, must be made with the 

 greatest exactness. 



VII. 



Test of the first hypothesis. 



logrj, Iogr 2 , Iogr 3 (approximate values from the preceding 



computations). 



AT_ A 7? r -3 i R r -3 i A o r -s 



i.T -i i i -*-'i * i ^T -*-'2 2 ^ "*^^ 3"^*^ 3 3 



S """ S S "*"" O 8 ~~* . 



j , 



, 



The value of s s 2 may be very small, and its logarithm in con- 

 sequence ill determined. This will do no harm if the computer is 

 careful to use the same value computed, of course, as carefully as 

 possible wherever the expression occurs in the following formulae : 



R 



/ 



V 



/y\ 



p 



N 



For adjustment of values : 



esin 



tan K' i; 2"~' ?; i) ==: 



_ 



r/y 

 1 / o 



R 



s, 



For control : 



r, rv, 



^- -r- 



2 COS 1(^8 ~" V l 



e cos ^ 2 = - 

 "2 



e = 



l-e 



a 



P 



tan %E l = tan |v 1 tan J^ = e tan Jv 2 tan ^E 3 = e tan 



T l calc. = 



T 3 calc . = 



sn ec sn 



