Kesearches on the Distribution of the Mt'im Motions of the Asteroids. 



15 



axis of 2-. Let this parabola be designated by .4. The equation 

 (1')), also, if we put a definite value for d, represents a parabola 

 whose axis is the axis of e. For the hmiting values of cos d, ±1, 

 we have two limiting parabolas whose equations are 



(18) x'=C±Q>p,e ^> 



Let these limiting parabolas be designated by Bo and B^, 

 respectivel3^ ^o »"ind B^ meet at the same points (±\/(7, 0) with 

 the axis of x. Two straight lines passing through these points and 

 parallel to the axis of e represent the equation (15) for 0=-^ and 



2 • 



o 



Fig. 1 



XXXQ 



exio 



xxio 



1) Writing f\ ior p^^ and i^g.,- for "p^'lg, generally, for the sake of brevity. 



