CHAPTER VII. 



The time of relaxation. 



49. Neglecting for the moment the variation in the characteristics depending 

 on the coordinates in space and neglecting also the attraction of the stellar cluster 

 as a whole, so that only the influence of the passages is considered, we get from (100) 



dt ^^«0' 



187) 1^020 = v7 



dt 



According to (149) we have 



^^ ^200 ^( ^-^000 200 ")" ^000 020 -^000002)' 



•'■ v 020 ' v -^000 200 '^-^000 020 I -""^OOO 002^ ' 



V002 ^ ( -^000 200 ~^ -^000 020 ^^000 002^' 



where, according to (136), 



TI = A A 1/42 



-^000 200 '^000 ^200 '1 \m ' 



Tt = A A 1 J2 



-^000 020 ^^000 ^020 "2" ^010 ' 



R = A A 1/12 



-"000 002 -^000 ^002 "î^ "^001 ' 



It follows from our suppositions, according to (100) that Jqoo' ^loo' ^0105 ^001 

 are constants. 



For our present purpose it suffices to consider the values .rl-^^o ^ ^010 ^ ^001 ^ 0, 

 which (as may be found from (77)) implies that no starstreams occur in the cluster. 

 We now get 



^^200 



A T 



-^000-^ 



dt 



a* 



^ -^020 _ 



A T 



•^000 



dt 





d Jq(,2 



A T 



^000-^ 



dt 



a* 



[ ^ylgoo + ^020 ^" ^ 



OO2J ' 



(187*) ^020 _ 0(K) ^ ^^^^ _ 2J^20 + ^002]' 



[ ^200 -^020 "^^002] • 



