22 A-rt, 3.— K. Hirayama : 



becomes impossible when C>0, in the cases of the fourth and 

 higher orders. 



Chapter III. 



Theoretical Effect of the Resistance on the Motion of 

 the Asteroids in the Librating Region. 



28. Putting /i=2, the equations (11) of Chapter I become 

 (1) 



ari^i=_«, \_^y-ße^ 



a \^ dt A 



where 



Now, by the equations (1) and (2) of Chapter II, we have 



J_ f— 1 = -— — T— 1 

 a Ldt J 3 n L dt J 



and 



rdx~[ ^ 1 r dn "] 



Since n and 7io are supposed to be very nearly equal 



1 rda"] ^ _ 2 rdx~] 

 a Ldt J 3 Ldt J 



Hence 



(2) [1]=^' 



We have, also, by (5) of Chapter II 

 dd , , f de de' , . .äw 



and, since x is not affected directly by the resistance, we have by (1) 



